2024 Faculty Courses School of Engineering Department of Mechanical Engineering Graduate major in Mechanical Engineering
Advanced Mechanical Elements
- Academic unit or major
- Graduate major in Mechanical Engineering
- Instructor(s)
- Nobuyuki Iwatsuki
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Thu
- Class
- -
- Course Code
- MEC.H431
- Number of credits
- 100
- Course offered
- 2024
- Offered quarter
- 1Q
- Syllabus updated
- Mar 14, 2025
- Language
- English
Syllabus
Course overview and goals
The course offers the knowledge on kinematic and dynamic analysis of planar and spatial link mechanisms and methods to control redundant and over/underactuated mechanisms.
The characteristic of motion mechanisms affects the performance of advanced mechanical systems such as robots, which students learn in Mechanical Engineering Course. It is thus required to quantitatively evaluate the characteristics and to design and control mechanisms based on the evaluation criteria. For this purpose, students will understand how to analyze the kinematics and dynamics of planar and spatial closed-loop link mechanisms by utilizing the systematic kinematic analysis method and will experience to apply them to kinematic and dynamic analyses and motion control of redundant mechanisms, overactuated mechanisms of which actuator inputs are more than mobility of mechanism and underactuated mechanisms constrained by elastic elements.
Course description and aims
By the end of this course, students will be able to:
1. Explain mobility of mechanism and relation between input/output motions of mechanism
2. Analyze displacement, velocity and acceleration of planar/spatial closed-loop link mechanisms with the systematic kinematic analysis method
3. Analyze the dynamics of planar/spatial closed-loop link mechanisms utilizing the systematic kinematic analysis method
4. Explain the optimum motion control of redundant link mechanisms
5. Explain motion control of overactuated or underactuated mechanism with elastic elements
Keywords
Close-loop link mechanism, kinematics, dynamics, systematic kinematic analysis, motion control, optimum control, redundancy, overactuated mechanism, underactuated mechanism, wire-driven mechanism
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Important issues are summarized at the end of lecture every week. Sample software to analyze link mechanisms, which are explained in this lecture, will be offered to students, and students are expected to try to analyze various mechanisms with the software by themselves so as to understand what they learn.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Kinematic analysis of planar link mechanism with the systematic kinematic analysis method - Displacement, velocity and acceleration analyses of planar closed-loop link mechanisms with the systematic kinematic analysis method - | Understanding of geometric and differential equations of planar link chains |
| Class 2 | Kinematic analysis of spatial link mechanisms with the systematic kinematic analysis method - Expansion of the systematic kinematic analysis method to spatial mechanisms - | Understanding of three-dimensional angular motion and vector expression of spatial motion |
| Class 3 | Dynamic analysis of planar/spatial link mechanisms - Driving force and joint force analysis using the systematic kinematic analysis - | Derivation of equation of motion of each link |
| Class 4 | Evaluation of redundancy and motion control of redundant link mechanisms - Optimum motion control to utilize redundancy - | Understanding of input/output velocity relation and manipulability measure, objective function and optimization method |
| Class 5 | Kinematic analysis and motion control of overactuated mechanisms - Motion control of overactuated mechanisms using relaxation with elastic elements – | Understanding of input/output equation taking account of elastic elements |
| Class 6 | Kinematic analysis and motion control of underactuated mechanisms with elastic elements - Motion control of underactuated mechanisms constrained by elastic elements – | Understanding of kinetostatics analysis with virtual external force |
| Class 7 | Kinematic analysis and motion control of underactuated wire-driven mechanisms - Motion control of wire-driven underactuated mechanisms under gravitational force - | Understanding of kinematic analysis by minimizing potential energy |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Not required.
Reference books, course materials, etc.
Several handouts will be often distributed. The following textbook is recommended as a reference book:
JSME Textbook series 'Kinematics od Machinery', edited by the Japan Society of Mechanical Engineers (2007).
Evaluation methods and criteria
Students' knowledge of kinematic and dynamic analyses of planar/spatial closed-loop link mechanisms with the systematic kinematic analysis method and their application to analyses and motion controls of redundant and over/underactuated mechanisms is accessed via submitted reports on several issues(100%).
Related courses
- MEC.H532 ： Kinematic Analysis and Synthesis of Robots
- MEC.H531 ： Robot Control System Design
Prerequisites
Students must have successfully completed 'Mechanical elements and draftings（MEC.H201 ）' or have equivalent knowledge.
Contact information (e-mail and phone) Notice : Please replace from ”[at]” to ”@”(half-width character).
Nobuyuki Iwatsuki: iwatsuki.n.aa[at]m.titech.ac.jp, 03-5734-2538
Office hours
Contact by e-mail in advance to schedule an appointment.