Difference between revisions of "ME115 2016"

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{| border=1 width=100%
 
{| border=1 width=100%
 
|-
 
|-
| '''Position''' || '''Name''' || '''Office''' || '''Office Hours''' || '''Email''' || '''Phone'''
+
| '''Position''' || '''Name''' || '''Office''' || '''Office Hours''' (changing weekly) || '''Email''' || '''Phone'''
 
|-
 
|-
 
| '''Instructor'''
 
| '''Instructor'''
 
| Joel Burdick
 
| Joel Burdick
 
| 245 Gates-Thomas
 
| 245 Gates-Thomas
| TBD
+
| ''send mail for an appointment''
 
| [mailto:jwb@robotics.caltech.edu jwb at robotics dot caltech dot edu]
 
| [mailto:jwb@robotics.caltech.edu jwb at robotics dot caltech dot edu]
 
| 626-395-4139
 
| 626-395-4139
 
|-
 
|-
 
| '''Teach Asst.'''
 
| '''Teach Asst.'''
| Krishna Shankar
+
| Nikola Georgiev
 
| 205 Gates-Thomas
 
| 205 Gates-Thomas
| TBD
+
| Thurs. Apr, 7, SFL Group Study Room 229 (#2-3) 8 pm
| [mailto:krishna@caltech.edu krishna at caltech dot edu]
+
| [mailto:georgiev@caltech.edu georgiev at caltech dot edu]
 
| 626-395-????
 
| 626-395-????
 
|-
 
|-
 
| '''Teach Asst.'''
 
| '''Teach Asst.'''
 +
| Yoke Peng Leong
 +
| Annenberg
 
| TBD
 
| TBD
| TBD
+
| [mailto:ypleong@caltech.edu ypleong at caltech dot edu]
| TBD
+
| [mailto:krishna@caltech.edu ??? at caltech dot edu]
+
 
| 626-395-????
 
| 626-395-????
 
|-
 
|-
 
| '''Administrative'''
 
| '''Administrative'''
 
| Sonya Lincoln
 
| Sonya Lincoln
| 220 Gates-Thomas
+
| 250 Gates-Thomas
 
| 7:30am-noon; 1:00pm-4:30pm
 
| 7:30am-noon; 1:00pm-4:30pm
 
| [mailto:lincolns@caltech.edu lincolns at caltech dot edu]
 
| [mailto:lincolns@caltech.edu lincolns at caltech dot edu]
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|}
 
|}
  
<table width=100%>
 
<tr valign=top>
 
<td>
 
'''Instructor'''
 
* [http://robotics.caltech.edu/~jwb/wiki/index.php/Joel_Burdick%27s_Wiki Joel Burdick], [mailto:jwb@robotics.caltech.edu jwb at robotics dot caltech dot edu], 245 Gates-Thomas, 626-395-4139
 
* Office hours: TBD
 
<td> '''Teaching Assistant'''
 
* Krishna Shankar 205 Gates-Thomas, , [mailto:krishna@caltech.edu krishna at caltech dot edu)
 
* Office hours: TBD </td></tr>
 
* '''Lecture Schedule:''' Based on the organizational meeting, ME 115(b) wial meet MWF at noon-1pm. Because of my extensive travel schedule, there will also be a 4th hour of lecturing on Wednesday evenings, 9-10 pm
 
* Lecture Location:''' Thomas 306 for Monday and Wednesday (day and night lectures), and Thomas 301 for Friday.</td>
 
</table>
 
  
== Announcements ==
+
* '''Lecture Schedule:''' Monday, Wednesday, Friday 10:00-11:00 am, Gates-Thomas 135
* '''06/04/12:''' Here are some background papers which may be useful for some final projects:
+
** '''Delta Robot:''' [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/DeltaKinematics Kinematics of the Delta]; [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/DeltaMechanismSingularities Singularities of the Delta]; [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/ReviewStewartPlatform.pdf Review of the Stewart Platform];
+
** '''Agile Eye:''\' [http://robotcs.caltech.edu/~jwb/courses/ME115/handouts/AgileEyeGosselin.pdf Agile Eye]; [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/IsotropicSphericalParallelMechanisms  Spherical Parallel Mechanisms];
+
** '''Force Closure Sets on Polygons:''' [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/ChenBurdickICRA92.pdf Quantitative Test o Force Closure on Planar Objects];
+
  
The course time will change based on a class vote to find the time where the maximum number of students can participate.\n\n
+
== Announcements  For ME 115(b) ==
 +
* '''06/01/16:''' The Final Exam is [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/final.16b.pdf available here] .  The instructions are included on the first page.  To complete the exam, you will have to download and watch the following videos:
 +
** The [http://robotics.caltech.edu/~jwb/courses/ME115/Videos/Spider_Mechanism.mp4 Spider Mechanism Video] (in mp4 format).
 +
** The [http://robotics.caltech.edu/~jwb/courses/ME115/Videos/Rostock_Mechanism.mp4 Rostock Video] (in mp4 format).
 +
* '''05/14/16:''' The first video lecture can be downloaded [http://robotics.caltech.edu/~jwb/courses/ME115/Lectures/Lecture1.mov from here] in .mov format
 +
* '''05/14/16:''' The second video lecture can be [http://robotics.caltech.edu/~jwb/courses/ME115/Lectures/Lecture2.mp4 downloaded here] in .mp4 format
 +
* '''05/04/16:''' The [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/final_project_b.16.pdf Final Project Guidelines]
 +
* '''04/06/16:''' The T.A. office hours will be Thurs, 8:00 pm onward, in Room 229 (#2-#3) of Sherman-Fairchild Library
  
== Course Text(a) and References ==
+
== Course Text and References ==
  
The main course text  
+
The '''main course text''' is: 
* [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page R.M. Murray, Z. Li, and S. Sastry,
+
* [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page R.M. Murray, Z. Li, and S. Sastry, ''A Mathematical Introduction to Robotic Manipulation,'' CR Press, 1994.]   
''A Mahematical Introduction to Robotic Manipulation,'' CR Press, 1994.]  The 1st edition of this
+
* The 1st edition of this book is available freely on-line at the link above, and is perfectly adequate for the course
book is available freely on line at the link above.
+
  
We will refer to this text as \"MLS\" (for the three authors). While the list of topics studied in
+
We will refer to this text as ''MLS'' (the initials of the authors last names). While the course topics will follow the text subjects, additional material not in the text will often be presented in class. Additional course handouts covering this material will be posted on this website
this course will follow the subjects in this text, additional material not in the text will often be
+
presented in class. Additional course handouts, which will be posted on this website, will
+
supplement these portions of the lectures.  However, it\'s good to come to class.
+
  
 
== Course Syllabus ==
 
== Course Syllabus ==
  
''Theoretical Kinematics'' is the study of motion and the analytical tools to represent motion, while  
+
''Theoretical Kinematics'' is the study of motion and the analytical tools to represent motion, while '''Applied Kinematics''' is the analysis and synthesis of mechanisms which implement given motions. This course presents a basic overview of theoretical kinematics, while the applied portions focus on robotic mechanisms.
Applied Kinematics is the analysis and synthesis of mechanisms which implement given motions. This course presents basic ma
+
 
terial in theoretical kinematics, while the applied portions of the course focus on robotic mechanisms.  
+
An [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/Overview2016.pdf overview] of the course, including course mechanics, grading, etc.  The most salient information is repeated below.
  
 
=== Grading ===
 
=== Grading ===
Line 81: Line 68:
 
* ''' Homework (70%):''' Homework sets will be handed out every 7-10 days, and are due at 5 pm on the due date (which will always coincide with a class meeting).  Homeworks can be dropped off in class, or deposited in the box outside of 245 Gates-Thomas.  Some homeworks will require computation.  MATLAB or Mathematica should be sufficient to solve every homework posed in this course, though students can choose their favorite programming language. Code is considered part of your solution and should be included in with the problem set when appropriate.
 
* ''' Homework (70%):''' Homework sets will be handed out every 7-10 days, and are due at 5 pm on the due date (which will always coincide with a class meeting).  Homeworks can be dropped off in class, or deposited in the box outside of 245 Gates-Thomas.  Some homeworks will require computation.  MATLAB or Mathematica should be sufficient to solve every homework posed in this course, though students can choose their favorite programming language. Code is considered part of your solution and should be included in with the problem set when appropriate.
  
* '''Final exam/project (30%):''' Students have the option to take a final exam (a limited time take-home format exam which is open book, open note, and computer allowed) or select a final project.  The final project must incorporate some aspect of the course, and the topic and scope my be approved by the course instructor.  The final exam will be handed out on the last day of class and due at 5:00 pm the last day of finals. If selected, the final project is similarly due at 5:00 pm on the last day of finals.
+
* '''Final exam/project (30%):''' Students have the option to take a final exam (a limited time take-home format exam which is open book, open note, and computer allowed) or select a final project.  The final project must incorporate some aspect of the course, and the topic and scope my be approved by the course instructor.  The final exam will due at 5:00 pm the last day of finals. The final project is similarly due at 5:00 pm on the last day of finals.
 +
 
 +
* '''Late Homework Policy:'''  Students may automatically take a 2-day extension on '''two''' homeworks during each quarter.
  
 
=== Collaboration Policy ===  
 
=== Collaboration Policy ===  
  
Collaboration on homework assignments is encouraged. You may consult outside reference materials,
+
Collaboration on homework assignments is encouraged. You may consult outside reference materials, other students, the TA, or the instructor, but you must cite any use of material from outside references. All solutions that are handed in should be written up individually and should reflect
other students, the TA, or the instructor, but you must cite any use of material from outside
+
your own understanding of the subject matter.  Computer code and graphical plots are considered part of your solution, and therefore should be done individually (you can share ideas, but not code).  No collaboration is allowed on the examinations.
references. All solutions that are handed in should be written up individually and should reflect
+
your own understanding of the subject matter at the time of writing.  Computer code and graphical
+
plots are considered part of your writeup, and therefore should be done individually (you can share
+
ideas, but not code).  No collaboration is allowed on the examinations\n\n
+
  
 +
== Course Schedule for ME115(b) ==
 +
{| border=1 width=100%
 +
|-
 +
| Week || Date || Topic || Reading || Optional Reading || Homework
 +
 +
|-
 +
| align=center rowspan=4 | 1
 +
| colspan=5|
 +
==== From Manipulator Singularities to Closed Loop Mechanisms ====
 +
|-
 +
| 28 March (M)
 +
| Manipulator Singularities (concluded) <br> Intro to Closed Loop Mechanisms
 +
| -N/A-
 +
| -N/A-
 +
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set1b.16.pdf Homework 1] <br> [http://robotics.caltech.edu/~jwb/courses/ME115/homework/sol1b.16.pdf Solution 1]
 +
 +
|-
 +
| 30 March (W)
 +
| Closed Loop Linkages: Structure Equations & Mobility
 +
| Murray, Li Sastry (MLS), Section 3.4
 +
| -N/A-
 +
 +
|-
 +
| 1 April (F)
 +
| Closed Loop Linkages: Special Configurations
 +
| Murray, Li Sastry (MLS), Section 3.4
 +
| -N/A-
 +
 +
|-
 +
| align=center rowspan=4 | 2
 +
| colspan=5|
 +
 +
==== Closed Loop Mechanisms and Parallel Mechanisms ====
 +
|-
 +
| 4 April (M)
 +
| Closed Loop Linkages: Multi-Loop Linkages
 +
| MLS, Section 3.5
 +
| -N/A-
 +
| rowspan=3 align=center | -No Homework-
 +
 +
|-
 +
| 6 April (W)
 +
| Intro to Parallel Linkages
 +
| -N/A-
 +
| -N/A-
 +
 +
|-
 +
| 8 April (F)
 +
| Parallel Mechanisms: structure Equations and Singularities
 +
| MLS Section 3.5
 +
|
 +
 +
|-
 +
| align=center rowspan=4 | 3
 +
| colspan=5|
 +
 +
==== Parallel Mechanisms to Redundant manipulators ====
 +
 +
|-
 +
| 11 April (M)
 +
| The Delta Mechanism
 +
| [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/DeltaKinematics.pdf Paper on Delta Kinematics]
 +
| [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/DeltaRobotHistory.pdf History of Delta Mechanism]; [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/DeltaMechanismSingularities.pdf Singularities of Delta Mechanisms];
 +
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set2b.16.pdf Homework 2] <br> [http://robotics.caltech.edu/~jwb/courses/ME115/homework/sol2b.2016.pdf Solution #2]
 +
 +
|-
 +
| 13 April (W)
 +
| Redundant Mechanisms and PseudoInverse
 +
| -N/A-
 +
|
 +
 +
|-
 +
| 15 April (F)
 +
| Redundancy resolution and trajectory planning
 +
| Notes on the [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/pseudo.pdf Moore-Penrose Pseudo Inverse]
 +
| -N/A-
 +
 +
|-
 +
| align=center rowspan=4 | 4
 +
| colspan=5|
 +
 +
==== From Redundant Manipulators to Grasping ====
 +
|-
 +
| 18 April (M)
 +
| The Moore-Penrose Pseudo Inverse and SVD
 +
| MLS Chapt 3, Section 5.1
 +
|
 +
| rowspan=3 align=center |
 +
 +
|-
 +
| 20 April (W)
 +
|  Redundancy Resolution and Obstacle Avoidance Example <br> Intro to Grasping
 +
|  MLS Chapt 3, Section 5.1
 +
| [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/MaciejewskiKleinRedundantObstacleAvoidance.pdf Maciejewski & Klein]
 +
|-
 +
| 22 April (F)
 +
| Contact Models
 +
| Section 5.2 of the MLS Text
 +
| -N/A-
 +
 +
|-
 +
| align=center rowspan=4 | 5
 +
| colspan=5|
 +
 +
==== Force Closure Grasps ====
 +
|-
 +
| 25 April (M)
 +
| Finger Contact Models
 +
| Section 2.1 of MLS Chapter5
 +
| -N/A-
 +
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set3b.16.pdf Homework 3] <br> [http://robotics.caltech.edu/~jwb/courses/ME115/homework/sol3b.16.pdf Solution 3]
 +
 +
|-
 +
| 27 April (W)
 +
| The Grasp Map<br> Secure Multi-Fingered Grasps
 +
| Section 2.2 of MLS Chapter 5
 +
| N/A-
 +
 +
|-
 +
| 29 April (F)
 +
| Force Closure (continued)
 +
| Section 5.3, 5.4 of the MLS Text
 +
| -N/A-
 +
 +
|-
 +
| align=center rowspan=4 | 6
 +
| colspan=5|
 +
 +
==== Force Closure Grasps ====
 +
|-
 +
| 2 May (M)
 +
| Frictionless Force Closure
 +
| -N/A-
 +
| -N/A-
 +
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set4b.16.pdf Homework 4]; <br> [http://robotics.caltech.edu/~jwb/courses/ME115/homework/sol4b.16.pdf Solution 4]
 +
|-
 +
| 4 May (W)
 +
| Force Closure and Internal Forces
 +
| -N/A-
 +
| -N/A-
 +
|-
 +
| 6 May (F)
 +
| Number of required fingers
 +
| Section 5.4 of the MLS Text
 +
| -N/A-
 +
 +
|-
 +
| align=center rowspan=4 | 7
 +
| colspan=5|
 +
 +
==== Yet more Robotic Grasping  ====
 +
|-
 +
| 9 May (M)
 +
| Number  of fingers needed to grasp an object
 +
| Section 5.4 of MLS Text
 +
| -N/A-
 +
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set5b.16.pdf Homework 5]; <br> [http://robotics.caltech.edu/~jwb/courses/ME115/homework/sol5b.16.pdf Solution 5]
 +
|-
 +
| 11 May (W)
 +
| Grasp Planning/Hand Kinematics
 +
| Section 5.5 of MLS Text
 +
| -N/A-
 +
|-
 +
| 13 May (F)
 +
| Hand Kinematics
 +
| Section 5.5 of the MLS Text
 +
| -N/A-
 +
|-
 +
| align=center rowspan=4 | 8
 +
| colspan=5|
 +
 +
==== Yet more Robotic Grasping  ====
 +
|-
 +
| 16 May (M)
 +
| Differential Geometry of Curves
 +
| Section 5.6 of MLS text <br> [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/curves.pdf Notes on the Differential Geometry of Curves]
 +
| -N/A-
 +
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set6b.16.pdf Homework #6]
 +
|-
 +
| 18 May (W)
 +
| Planar Contact Equations
 +
| Section 5.6 of MLS Text <br> [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/contact.pdf Notes on the Planar Contact Equations]
 +
| -N/A-
 +
|-
 +
| 20 May (F)
 +
| ''No Class'' due to travel
 +
| -N/A-
 +
| -N/A-
 +
 +
|-
 +
| align=center rowspan=4 | 9
 +
| colspan=5|
 +
 +
==== Miscellaneous ====
 +
 +
|-
 +
| 23 May (M)
 +
| Review of planar contact equations <br> Grasp Equations with non-point fingers
 +
| Chapter 5 of MLS
 +
|
 +
| rowspan=3 align=center |
 +
 +
|-
 +
| 25 May (W)
 +
| Gears,Quasistatic Locomotion
 +
| [http://robotics.caltech.edu/~jwb/courses/ME115/Lectures/Gears.pptx Slides on Gears]
 +
| -N/A-
 +
 +
|-
 +
| 27 May (F)
 +
| No Class (travel)
 +
| -N/A-
 +
| -N/A-
 +
 +
|-
 +
| align=center rowspan=3 | 10
 +
| colspan=5|
 +
 +
==== Miscellaneous ====
 +
 +
|-
 +
| 30 May (M)
 +
| ''Institute Holiday''
 +
|
 +
|
 +
| rowspan=3 align=center |
 +
 +
|-
 +
| 1 June (W)
 +
| Quasistatic Locomotion and Whole Body Manipulation
 +
| [http://robotics.caltech.edu/~jwb/courses/ME115/Lectures/WholeBody.ppt Slides on Whole Body Manipulation]
 +
| -N/A-
 +
 +
|}
 +
 +
<!-- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -->
  
 
== Course Schedule for ME115(a) ==
 
== Course Schedule for ME115(a) ==
Line 98: Line 319:
 
|-
 
|-
 
| Week || Date || Topic || Reading || Optional Reading || Homework
 
| Week || Date || Topic || Reading || Optional Reading || Homework
 +
 
|-
 
|-
|  align=center rowspan=3 | 1  
+
|  align=center rowspan=4 | 1  
 
| colspan=5|
 
| colspan=5|
 
=====Introduction and Review of Rigid Body Kinematics =====
 
=====Introduction and Review of Rigid Body Kinematics =====
 
|-
 
|-
 
| 4 Jan (Mon.)
 
| 4 Jan (Mon.)
| Institute holiday
+
| Class Overview
| -N/A-
+
| [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/Overview2016.pdf Course Overview], <br> [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page  Chapter 1 of MLS]
| -N/A-
+
| [http://dlxs2.library.cornell.edu/k/kmoddl/pdf/013_002.pdf History of Kinematics Through 1900] (Introductory chapter from <em> Kinematic Synthesis of Linkages</em>) 
| rowspan=2 align=center | -No Homework-
+
| rowspan=3 align=center | -No Homework-
 +
 
 
|-
 
|-
| 5 Jan (Th)
+
| 6 Jan (W)
| 6cheduliW, course overview, casual overview of applied kinematics
+
| Planar Rigid Body Kinematics, <br> Planar displacements
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.1]
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.1], Pages 19-23
 
| -N/A-  
 
| -N/A-  
 +
|-
 +
| 8 Jan (F)
 +
| Planar Rigid Body Displacements (''continued''), <br> Displacement groups 
 +
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.1],
 +
| -N/A-
 +
 
|-
 
|-
 
| align=center rowspan=4 | 2
 
| align=center rowspan=4 | 2
 
| colspan=5 |
 
| colspan=5 |
  
===== From Planar Rigid Body Kinematics =====
+
===== From Planar Rigid Body Kinematics to Spherical Kinematics =====
 
|-
 
|-
 
| 11 Jan (M)
 
| 11 Jan (M)
| Intro to Planar Rigid Body Kinematics
+
| Displacement groups, poles <br> [http://robotics.caltech.edu/~jwb/courses/ME115/Lectures/PlanarDisplacements.pptx Planar Displacements] (PowerPoint)
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.2, 2.3]
+
|
 
| -N/A-
 
| -N/A-
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set1.12.pdf Homework 1]
+
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set1.16.pdf Homework 1], <br> [http://robotics.caltech.edu/~jwb/courses/ME115/homework/sol1a.16.pdf Solution 1]
 +
 
 
|-
 
|-
 
| 13 Jan (W)
 
| 13 Jan (W)
| Planar Rigid Body Kinematics ''continued''
+
| [http://robotics.caltech.edu/~jwb/courses/ME115/Lectures/Centrodes.pptx Centrodes]: Ellliptical Trammel, <br> [https://www.youtube.com/watch?v=CBhxKavV_Xo Trammel], [https://www.youtube.com/watch?v=OMNArJh7umg&list=PL6534E936D46257BF&index=22 V 1], [https://www.youtube.com/watch?v=GAVx3x_H1eA&list=PL6534E936D46257BF&index=20# V 2], [https://www.youtube.com/watch?v=OMNArJh7umg&list=PL6534E936D46257BF&index=22 compliation]
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.2, 2.3]
+
Intro to Spherical Kinematics  
| -N/A-
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Pages 22-26],<br> [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/EllipticalTrammel.pdf Notes on the Elliptical Trammel],
 +
| [http://en.wikipedia.org/wiki/Trammel_of_Archimedes Archemides Trammel] (Wikipedia)<br> [http://www.iftomm.org/iftomm/proceedings/proceedings_WorldCongress/WorldCongress07/articles/sessions/papers/A471.pdf Polyhedral Linkages Synthesized Using Cardan Motion Along Radial Lines]
 +
|
 +
 
 
|-
 
|-
| 11 Jan (W)
+
| 15 Jan (F)
| Planar Rigid Body Displacements
+
| Spherical Kinematics (''continued''), <br> Classical Matrix Groups
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.2, 2.3]
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.2, 2.3], <br> [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/MatrixGroups.pdf Notes on the Classical Matrix Groups]
 +
 
 
| -N/A-
 
| -N/A-
 +
 
|-
 
|-
 
| align=center rowspan=4 | 3
 
| align=center rowspan=4 | 3
 
| colspan=5 |
 
| colspan=5 |
  
===== Spherical Kinematics =====\n|-\n| 16 Jan (M)\n
+
===== Spherical Kinematics =====
| ''Marin Luther King Holiday''
+
|-
 +
| 18 Jan (M)
 +
| ''No Class'': '''Marin Luther King Holiday'''
 
| -N/A-
 
| -N/A-
 
| -N/A-
 
| -N/A-
| rowspan=3 align=center  
+
| rowspan=3 align=center | No Homework
| -N/A -
+
 
|-
 
|-
| 17 Jan (Tu)
+
| 20 Jan (W)
| Spherical Displacements, Matrix Groups
+
| Cayley's Theorem, <br>
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.2, 2.3]
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS 27-31], <br> [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/rotation.pdf Notes on Rotations]
 
| -N/A-
 
| -N/A-
 
|-
 
|-
| 18 Jan (W)
+
| 22 Jan (F)
| '''No Class'''
+
| ''No Class''
| -N/A-  
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS 31-34]
 
| -N/A-
 
| -N/A-
 +
 
|-
 
|-
| align=center rowspan=4
+
| align=center rowspan=4 | 4
| 4
+
| colspan=5 |
| colspan=5  
+
 
|
+
===== Spherical Kinematics (''continued'')=====
===== Spherical Kinematics =====
+
 
|-
 
|-
| 23 Jan (M)
+
| 25 Jan (M)
| Review of the Classical Matrix Groups
+
| Angle/Axis Representation and Rodriguez Formula
| [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/MatrixGroups.pdf Notes on Classical Matrix Groups]
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS 34-39]
| -N/A-
+
| [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/algebra.pdf Notes on Algebras]
| rowspan=3 align=center
+
| rowspan=3 align=center | -N/A-
| [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set2.12.pdf Homework 2]
+
 
 
|-
 
|-
| 24 Jan (Tu)\
+
| 27 Jan (W)
| Construction of the angle axis formula for rotations\n
+
| ''No Class''
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.2, 2.3]
+
| -N/A-
<br> [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/rotation.pdf Notes on Rotations]
+
 
| -N/A-
 
| -N/A-
 
|-
 
|-
| 25 Jan (W)
+
| 29 Jan (W)
| Euler Angles
+
| ''No Class''
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.2, 2.3]
+
 
| -N/A-
 
| -N/A-
 +
| -N/A-
 +
 
|-
 
|-
 
| align=center rowspan=4 | 5
 
| align=center rowspan=4 | 5
| colspan=5  
+
| colspan=5 |
|
+
 
===== Spherical Kinematics =====
+
===== Spatial Kinematics =====
 
|-
 
|-
| 30 Jan (M)
+
| 1 Feb (M)
| Euler Angles
+
| ''No Class''
 
| -N/A-
 
| -N/A-
 
| -N/A-
 
| -N/A-
| rowspan=3 align=center  
+
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set2a.16.pdf Homework 2], <br> [http://robotics.caltech.edu/~jwb/courses/ME115/homework/sol2a.16.pdf Solution 2]
| [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set3.12.pdf Homework 3 <br> (due Mon. Feb. 13)]
+
 
 
|-
 
|-
| 31 Jan (Tu)
+
| 3 Feb (W)
| Quaternions
+
| Exponential Coordinates and Euler Angles
 
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.2, 2.3]
 
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.2, 2.3]
 
| -N/A-
 
| -N/A-
 +
 
|-
 
|-
| 1 Feb (W)
+
| 5 Feb (F)
| More Quaternions
+
| Quaternions
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.2, 2.3]
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Pages 51-52]
 
| -N/A-
 
| -N/A-
 +
 
|-
 
|-
| align=center rowspan=4 | 6
+
| align=center rowspan=5 | 6
 
| colspan=5 |
 
| colspan=5 |
  
===== Spatial Kinematics =====
+
===== Spatial Kinematics (''continued'')=====
 
|-
 
|-
| 6 Feb (M)
+
| 8 Feb (M)
| Spatial Kinematics: Homogeneous Coordinates and Chasle\'s Theorem
+
| Quaternions (''continued''), <br> Intro to Spatial Kinematics
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.3]; [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/rodriguez.pdf Rodriguez' Displacement Equation];
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS 34-39]
 +
| [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/algebra.pdf Notes on Algebras]
 +
| rowspan=4 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set3a.16.pdf Homework 3], <br>  [http://robotics.caltech.edu/~jwb/courses/ME115/homework/sol3a.16.pdf Solution 3]
 +
 
 +
|-
 +
| 8 Feb (M)
 +
| Spatial Displacments, <br> Chasle's Theorem, Exponential Coordinates
 +
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Pages 35-50]
 
| -N/A-
 
| -N/A-
| rowspan=3 align=center
 
| [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set4.12.pdf Homework 4]
 
 
|-
 
|-
| 7 Feb (Tu)
+
| 10 Feb (W)
| Relations among various representations of displacements & motion capture
+
| Motion Capture <br> Rigid Body Velocities
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.3]
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Pages 51-61]; [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/rodriguez.pdf Rodriguez' Displacement Equation];
 
| -N/A-
 
| -N/A-
 +
 
|-
 
|-
| 8 Feb(W)
+
| 12 Feb (F)
| Motion capture & Rigid Body Velocities
+
| ''No Class''
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.4]
+
 
| -N/A-
 
| -N/A-
 +
| -N/A-
 +
 +
 
|-
 
|-
 
| align=center rowspan=4 | 7
 
| align=center rowspan=4 | 7
| colspan=5  
+
| colspan=5 |
|
+
  
===== Spatial Kinematics: Wrenches =====
+
===== Spatial Kinematics: Velocities and Wrenches =====
 
|-
 
|-
| 13 Feb (M)
+
| 15 Feb (M)
| Wrenches
+
| ''No Class:'' '''President's Day Holiday'''
 
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.3];
 
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.3];
 
| -N/A-
 
| -N/A-
| rowspan=3 align=center | -N/A-
+
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set4a.16.pdf Homework 4], <br> [http://robotics.caltech.edu/~jwb/courses/ME115/homework/sol4a.16.pdf Solution 4]
 
|-
 
|-
| 14 Feb (Tu)
+
| 17 Feb (W)
| Wrenches and Poinsot\'s Theorem
+
| Rigid Body Velocities (''continued'')
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.4-2.5]
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.3]
 
| -N/A-
 
| -N/A-
 
|-
 
|-
| 15 Feb(W)
+
| 19 Feb(F)
| Screws and the Reciprocal Product
+
| Transformation of Velocities <br> Wrenches and Poinsot's Theorem
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.5]
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 2.4-2.5]
 
| -N/A-
 
| -N/A-
 +
 
|-
 
|-
| align=center rowspan=4 | 8
+
| align=center rowspan=5 | 8
 
| colspan=5 |
 
| colspan=5 |
  
===== Manipulators =====
+
===== Robot Manipulators =====
 
|-
 
|-
| 20 Feb (M)
+
| 22 Feb (M)
| ''President's Day Holiday''
+
| Wrenches ''(continued)'', <br> Screw Theory
 
| -N/A-  
 
| -N/A-  
 
| -N/A-
 
| -N/A-
| rowspan=3 align=center  
+
| rowspan=4 align=center | No Homework
| -N/A-
+
 
 
|-
 
|-
| 21 Feb (Tu)
+
| 22 Feb (M)
| Manipulator Mechanisms and Lower Pair Joints
+
| Robot Manipulators: Introduction
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3]
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Chapter 3, pages 81-94]
 
| -N/A-
 
| -N/A-
 +
 
|-
 
|-
| 22 Feb(W)
+
| 23 Feb (W)
| Denavit-Hartenberg Convention
+
| Denavit Hartenberg Convention
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3]
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Chapter 3, pages 81-94]
 
| -N/A-
 
| -N/A-
 +
 
|-
 
|-
| align=center rowspan=4  
+
| 25 Feb(F)
| 9
+
| Forward Kinematics via the Denavit-Hartenberg Convention
| colspan=5  
+
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3],
|
+
| [https://en.wikipedia.org/wiki/Denavit%E2%80%93Hartenberg_parameters DH-Parameters] (from Wikipedia), <br> [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/DenavitHartenberg_Craig.pdf Scan from Craig Book] on D-H Parameters
 +
|-
 +
| align=center rowspan=4 | 9
 +
| colspan=5 |
 +
 
 
===== Forward/Inverse Kinematics =====
 
===== Forward/Inverse Kinematics =====
 
|-
 
|-
| 27 Feb (M)
+
| 29 Feb (M)
 
| Denavit-Hartenberg Convention (continued), Examples
 
| Denavit-Hartenberg Convention (continued), Examples
 
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3]; [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/rodriguez.pdf Rodriguez' Displacement Equation];
 
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3]; [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/rodriguez.pdf Rodriguez' Displacement Equation];
 
| -N/A-
 
| -N/A-
| rowspan=3 align=center  
+
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set5a.16.pdf Homework 5], <br> [http://robotics.caltech.edu/~jwb/courses/ME115/homework/sol5a.16.pdf Solution 5]
| [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set4.12.pdf Homework 5]
+
 
|-
 
|-
| 28 Feb (Tu)
+
| 2 Mar (W)
 
| Product of Exponentials Formula
 
| Product of Exponentials Formula
 
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3]
 
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3]
 
| -N/A-
 
| -N/A-
 
|-
 
|-
| 29 Feb(W)
+
| 4 Mar(F)
 
| Inverse Kinematics
 
| Inverse Kinematics
 
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3]
 
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3]
 
| -N/A-
 
| -N/A-
 +
 +
|-
 +
| align=center rowspan=4 | 10
 +
| colspan=5 |
 +
 +
===== Jacobian Matrix and Singularities =====
 +
|-
 +
| 7 Mar (M)
 +
| Manipulator Jacobian Matrices
 +
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3, pages 115-120];
 +
| -N/A-
 +
| rowspan=3 align=center | [http://robotics.caltech.edu/~jwb/courses/ME115/homework/set6a.16.pdf Optional Homework 6]
 +
 +
|-
 +
| 7 Mar (M)
 +
| Jacobian Matrix (continued), End-effector forces
 +
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3, 121-123];
 +
| -N/A-
 +
 +
|-
 +
| 9 Mar (W)
 +
| Manipulator Singularities
 +
| [http://www.cds.caltech.edu/~murray/mlswiki/index.php/Main_Page MLS Ch 3, pp 123-127]
 +
| -N/A-
 +
 
|}
 
|}
 +
 +
== Announcements  For ME 115(a) ==
 +
* '''03/21/16:''' Here is the [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/final.16a.sol.pdf Final Exam Solution]
 +
* '''03/13/16:''' Here is the [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/finala.16.pdf Final Exam].  The exam instructions are located on the first page.  Good luck!
 +
* '''02/22/16:''' Here are the [http://robotics.caltech.edu/~jwb/courses/ME115/handouts/FinalProject.16a.pdf Final Project Guidelines]
 +
* '''02/19/16:''' Homework #2 is graded.  You can pick it up from Sonya Lincoln, or pick it up in class starting Monday Feb. 22
 +
* '''02/17/16:''' T.A. Office hours this week:
 +
** Wed. Feb. 17, SFL Group Study room 220 (#2-2), 4-5:00 pm
 +
** Thurs. Feb. 18, SFL Group Study Room 220 (#2-2) 6-7:00 pm
 +
* '''02/08/16:''' T.A. Office hours this week:
 +
** Mon. Feb. 8, SFL Group Study room 220 (#2-2), 4-5:00 pm
 +
** Tues. Feb. 9, SFL Group Study Room 220 (#2-2) 8-9:00 pm
 +
* '''02/05/16:''' We need an extra class per week to catch up with the missed classes.  The same lecture will be given twice on Mondays.  You need attend only '''one''' of the following lectures.
 +
** 11:00am-noon in 135 Gates-Thomas
 +
** 7:30-8:30 pm in 135 Gates-Thomas
 +
* '''02/01/16:''' Class '''WILL''' be held on Wednesday, Feb. 3, 2016 at the usual time and location
 +
* '''02/01/16:''' There will be '''NO''' class on Monday, Feb. 1, 2016.
 +
* '''01/15/16:''' Office hours for Homework 1
 +
** Nikola Georgiev will hold office hours on Monday January 18 and Tuesday, January 19 from 8-9 pm in the Sherman Fairchild Library Group Study Room 229 (#2-3).
 +
** Joel Burdick will hold an office hours from 3-4 pm and 4:30-5:30 pm on Tuesday Jan. 19 in Gates-Thomas 245
 +
* '''01/14/16:''' On Wed. '''February 17, 2016''' class will take place in Gates-Thomas 115 (just for that one lecture).
 +
* '''01/11/16:''' Homework #1 will be available during the evening of Mon., Jan. 11.  Due Wed. Jan 20.
 +
* '''01/09/16:''' The class time is tentative set (see lecture schedule above)
 +
* '''01/04/16:''' The class time (and probably location) will be changed in order to allow the maximum number of students to participate.  Look for updates.

Latest revision as of 11:30, 13 June 2016

This is the homepage for ME 115(a,b) (Introduction to Kinematic and Robotics) for Winter/Spring 2016.

Course Staff, Hours, Location

Position Name Office Office Hours (changing weekly) Email Phone
Instructor Joel Burdick 245 Gates-Thomas send mail for an appointment jwb at robotics dot caltech dot edu 626-395-4139
Teach Asst. Nikola Georgiev 205 Gates-Thomas Thurs. Apr, 7, SFL Group Study Room 229 (#2-3) 8 pm georgiev at caltech dot edu 626-395-????
Teach Asst. Yoke Peng Leong Annenberg TBD ypleong at caltech dot edu 626-395-????
Administrative Sonya Lincoln 250 Gates-Thomas 7:30am-noon; 1:00pm-4:30pm lincolns at caltech dot edu 626-395-3385


  • Lecture Schedule: Monday, Wednesday, Friday 10:00-11:00 am, Gates-Thomas 135

Announcements For ME 115(b)

  • 06/01/16: The Final Exam is available here . The instructions are included on the first page. To complete the exam, you will have to download and watch the following videos:
  • 05/14/16: The first video lecture can be downloaded from here in .mov format
  • 05/14/16: The second video lecture can be downloaded here in .mp4 format
  • 05/04/16: The Final Project Guidelines
  • 04/06/16: The T.A. office hours will be Thurs, 8:00 pm onward, in Room 229 (#2-#3) of Sherman-Fairchild Library

Course Text and References

The main course text is:

We will refer to this text as MLS (the initials of the authors last names). While the course topics will follow the text subjects, additional material not in the text will often be presented in class. Additional course handouts covering this material will be posted on this website

Course Syllabus

Theoretical Kinematics is the study of motion and the analytical tools to represent motion, while Applied Kinematics is the analysis and synthesis of mechanisms which implement given motions. This course presents a basic overview of theoretical kinematics, while the applied portions focus on robotic mechanisms.

An overview of the course, including course mechanics, grading, etc. The most salient information is repeated below.

Grading

The final grade will be based on homework sets, and a final exam or final project:

  • Homework (70%): Homework sets will be handed out every 7-10 days, and are due at 5 pm on the due date (which will always coincide with a class meeting). Homeworks can be dropped off in class, or deposited in the box outside of 245 Gates-Thomas. Some homeworks will require computation. MATLAB or Mathematica should be sufficient to solve every homework posed in this course, though students can choose their favorite programming language. Code is considered part of your solution and should be included in with the problem set when appropriate.
  • Final exam/project (30%): Students have the option to take a final exam (a limited time take-home format exam which is open book, open note, and computer allowed) or select a final project. The final project must incorporate some aspect of the course, and the topic and scope my be approved by the course instructor. The final exam will due at 5:00 pm the last day of finals. The final project is similarly due at 5:00 pm on the last day of finals.
  • Late Homework Policy: Students may automatically take a 2-day extension on two homeworks during each quarter.

Collaboration Policy

Collaboration on homework assignments is encouraged. You may consult outside reference materials, other students, the TA, or the instructor, but you must cite any use of material from outside references. All solutions that are handed in should be written up individually and should reflect your own understanding of the subject matter. Computer code and graphical plots are considered part of your solution, and therefore should be done individually (you can share ideas, but not code). No collaboration is allowed on the examinations.

Course Schedule for ME115(b)

Week Date Topic Reading Optional Reading Homework
1

From Manipulator Singularities to Closed Loop Mechanisms

28 March (M) Manipulator Singularities (concluded)
Intro to Closed Loop Mechanisms
-N/A- -N/A- Homework 1
Solution 1
30 March (W) Closed Loop Linkages: Structure Equations & Mobility Murray, Li Sastry (MLS), Section 3.4 -N/A-
1 April (F) Closed Loop Linkages: Special Configurations Murray, Li Sastry (MLS), Section 3.4 -N/A-
2

Closed Loop Mechanisms and Parallel Mechanisms

4 April (M) Closed Loop Linkages: Multi-Loop Linkages MLS, Section 3.5 -N/A- -No Homework-
6 April (W) Intro to Parallel Linkages -N/A- -N/A-
8 April (F) Parallel Mechanisms: structure Equations and Singularities MLS Section 3.5
3

Parallel Mechanisms to Redundant manipulators

11 April (M) The Delta Mechanism Paper on Delta Kinematics History of Delta Mechanism; Singularities of Delta Mechanisms; Homework 2
Solution #2
13 April (W) Redundant Mechanisms and PseudoInverse -N/A-
15 April (F) Redundancy resolution and trajectory planning Notes on the Moore-Penrose Pseudo Inverse -N/A-
4

From Redundant Manipulators to Grasping

18 April (M) The Moore-Penrose Pseudo Inverse and SVD MLS Chapt 3, Section 5.1
20 April (W) Redundancy Resolution and Obstacle Avoidance Example
Intro to Grasping
MLS Chapt 3, Section 5.1 Maciejewski & Klein
22 April (F) Contact Models Section 5.2 of the MLS Text -N/A-
5

Force Closure Grasps

25 April (M) Finger Contact Models Section 2.1 of MLS Chapter5 -N/A- Homework 3
Solution 3
27 April (W) The Grasp Map
Secure Multi-Fingered Grasps
Section 2.2 of MLS Chapter 5 N/A-
29 April (F) Force Closure (continued) Section 5.3, 5.4 of the MLS Text -N/A-
6

Force Closure Grasps

2 May (M) Frictionless Force Closure -N/A- -N/A- Homework 4;
Solution 4
4 May (W) Force Closure and Internal Forces -N/A- -N/A-
6 May (F) Number of required fingers Section 5.4 of the MLS Text -N/A-
7

Yet more Robotic Grasping

9 May (M) Number of fingers needed to grasp an object Section 5.4 of MLS Text -N/A- Homework 5;
Solution 5
11 May (W) Grasp Planning/Hand Kinematics Section 5.5 of MLS Text -N/A-
13 May (F) Hand Kinematics Section 5.5 of the MLS Text -N/A-
8

Yet more Robotic Grasping

16 May (M) Differential Geometry of Curves Section 5.6 of MLS text
Notes on the Differential Geometry of Curves
-N/A- Homework #6
18 May (W) Planar Contact Equations Section 5.6 of MLS Text
Notes on the Planar Contact Equations
-N/A-
20 May (F) No Class due to travel -N/A- -N/A-
9

Miscellaneous

23 May (M) Review of planar contact equations
Grasp Equations with non-point fingers
Chapter 5 of MLS
25 May (W) Gears,Quasistatic Locomotion Slides on Gears -N/A-
27 May (F) No Class (travel) -N/A- -N/A-
10

Miscellaneous

30 May (M) Institute Holiday
1 June (W) Quasistatic Locomotion and Whole Body Manipulation Slides on Whole Body Manipulation -N/A-


Course Schedule for ME115(a)

Week Date Topic Reading Optional Reading Homework
1
Introduction and Review of Rigid Body Kinematics
4 Jan (Mon.) Class Overview Course Overview,
Chapter 1 of MLS
History of Kinematics Through 1900 (Introductory chapter from Kinematic Synthesis of Linkages) -No Homework-
6 Jan (W) Planar Rigid Body Kinematics,
Planar displacements
MLS Ch 2.1, Pages 19-23 -N/A-
8 Jan (F) Planar Rigid Body Displacements (continued),
Displacement groups
MLS Ch 2.1, -N/A-
2
From Planar Rigid Body Kinematics to Spherical Kinematics
11 Jan (M) Displacement groups, poles
Planar Displacements (PowerPoint)
-N/A- Homework 1,
Solution 1
13 Jan (W) Centrodes: Ellliptical Trammel,
Trammel, V 1, V 2, compliation

Intro to Spherical Kinematics

MLS Pages 22-26,
Notes on the Elliptical Trammel,
Archemides Trammel (Wikipedia)
Polyhedral Linkages Synthesized Using Cardan Motion Along Radial Lines
15 Jan (F) Spherical Kinematics (continued),
Classical Matrix Groups
MLS Ch 2.2, 2.3,
Notes on the Classical Matrix Groups
-N/A-
3
Spherical Kinematics
18 Jan (M) No Class: Marin Luther King Holiday -N/A- -N/A- No Homework
20 Jan (W) Cayley's Theorem,
MLS 27-31,
Notes on Rotations
-N/A-
22 Jan (F) No Class MLS 31-34 -N/A-
4
Spherical Kinematics (continued)
25 Jan (M) Angle/Axis Representation and Rodriguez Formula MLS 34-39 Notes on Algebras -N/A-
27 Jan (W) No Class -N/A- -N/A-
29 Jan (W) No Class -N/A- -N/A-
5
Spatial Kinematics
1 Feb (M) No Class -N/A- -N/A- Homework 2,
Solution 2
3 Feb (W) Exponential Coordinates and Euler Angles MLS Ch 2.2, 2.3 -N/A-
5 Feb (F) Quaternions MLS Pages 51-52 -N/A-
6
Spatial Kinematics (continued)
8 Feb (M) Quaternions (continued),
Intro to Spatial Kinematics
MLS 34-39 Notes on Algebras Homework 3,
Solution 3
8 Feb (M) Spatial Displacments,
Chasle's Theorem, Exponential Coordinates
MLS Pages 35-50 -N/A-
10 Feb (W) Motion Capture
Rigid Body Velocities
MLS Pages 51-61; Rodriguez' Displacement Equation; -N/A-
12 Feb (F) No Class -N/A- -N/A-


7
Spatial Kinematics: Velocities and Wrenches
15 Feb (M) No Class: President's Day Holiday MLS Ch 2.3; -N/A- Homework 4,
Solution 4
17 Feb (W) Rigid Body Velocities (continued) MLS Ch 2.3 -N/A-
19 Feb(F) Transformation of Velocities
Wrenches and Poinsot's Theorem
MLS Ch 2.4-2.5 -N/A-
8
Robot Manipulators
22 Feb (M) Wrenches (continued),
Screw Theory
-N/A- -N/A- No Homework
22 Feb (M) Robot Manipulators: Introduction MLS Chapter 3, pages 81-94 -N/A-
23 Feb (W) Denavit Hartenberg Convention MLS Chapter 3, pages 81-94 -N/A-
25 Feb(F) Forward Kinematics via the Denavit-Hartenberg Convention MLS Ch 3, DH-Parameters (from Wikipedia),
Scan from Craig Book on D-H Parameters
9
Forward/Inverse Kinematics
29 Feb (M) Denavit-Hartenberg Convention (continued), Examples MLS Ch 3; Rodriguez' Displacement Equation; -N/A- Homework 5,
Solution 5
2 Mar (W) Product of Exponentials Formula MLS Ch 3 -N/A-
4 Mar(F) Inverse Kinematics MLS Ch 3 -N/A-
10
Jacobian Matrix and Singularities
7 Mar (M) Manipulator Jacobian Matrices MLS Ch 3, pages 115-120; -N/A- Optional Homework 6
7 Mar (M) Jacobian Matrix (continued), End-effector forces MLS Ch 3, 121-123; -N/A-
9 Mar (W) Manipulator Singularities MLS Ch 3, pp 123-127 -N/A-

Announcements For ME 115(a)

  • 03/21/16: Here is the Final Exam Solution
  • 03/13/16: Here is the Final Exam. The exam instructions are located on the first page. Good luck!
  • 02/22/16: Here are the Final Project Guidelines
  • 02/19/16: Homework #2 is graded. You can pick it up from Sonya Lincoln, or pick it up in class starting Monday Feb. 22
  • 02/17/16: T.A. Office hours this week:
    • Wed. Feb. 17, SFL Group Study room 220 (#2-2), 4-5:00 pm
    • Thurs. Feb. 18, SFL Group Study Room 220 (#2-2) 6-7:00 pm
  • 02/08/16: T.A. Office hours this week:
    • Mon. Feb. 8, SFL Group Study room 220 (#2-2), 4-5:00 pm
    • Tues. Feb. 9, SFL Group Study Room 220 (#2-2) 8-9:00 pm
  • 02/05/16: We need an extra class per week to catch up with the missed classes. The same lecture will be given twice on Mondays. You need attend only one of the following lectures.
    • 11:00am-noon in 135 Gates-Thomas
    • 7:30-8:30 pm in 135 Gates-Thomas
  • 02/01/16: Class WILL be held on Wednesday, Feb. 3, 2016 at the usual time and location
  • 02/01/16: There will be NO class on Monday, Feb. 1, 2016.
  • 01/15/16: Office hours for Homework 1
    • Nikola Georgiev will hold office hours on Monday January 18 and Tuesday, January 19 from 8-9 pm in the Sherman Fairchild Library Group Study Room 229 (#2-3).
    • Joel Burdick will hold an office hours from 3-4 pm and 4:30-5:30 pm on Tuesday Jan. 19 in Gates-Thomas 245
  • 01/14/16: On Wed. February 17, 2016 class will take place in Gates-Thomas 115 (just for that one lecture).
  • 01/11/16: Homework #1 will be available during the evening of Mon., Jan. 11. Due Wed. Jan 20.
  • 01/09/16: The class time is tentative set (see lecture schedule above)
  • 01/04/16: The class time (and probably location) will be changed in order to allow the maximum number of students to participate. Look for updates.