Introductory description

ES4xx -15 Advanced Dynamics

Module aims

Outline syllabus

This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.

1. Introduction of dynamics mechanics in 3D
2. Kinematics of 2/3D systems

2i. Mobility analysis of mechanical systems
2ii. Vector presentation of kinematics of a single body in 2D/3D space
2iii. Moving coordinate system
2iv. Application to kinematic analysis of rigid body systems, e.g. planar/spatial linkages mechanisms
3. Kinetics of 2D/3D systems
3i. Vector presentation of force and moment equations of a rigid body in 2D/3D
3ii. Application to kinetostatic analysis of planar linkages as a special topic
3iii. Formulation of general equations of motion of rigid body systems in moving coordinate system, e.g. planar/spatial linkages and robotic mechanisms
4. Gyroscopic motions
4i. Explanation to procession phenomena
4ii. Formulation of Euler’s Equation
4iii. Steady state procession
4iv. Application to satellite and gyro compass, etc.

Learning outcomes

By the end of the module, students should be able to:

• Perform advanced kinematic analysis on spatial mechanisms using vector and matrix representations with reference to the mobility of 3D mechanical systems. [M1, M2]
• Evaluate the motions produced by driving forces or the driving forces necessary to generate specific motions of 3D mechanical systems. [M1, M2]
• Design and simulate a mechanical system to meet a target specification and evaluate performance metrics with allowance for uncertainty. [M3, M6, M17]
• Evaluate the application of advanced dynamical systems (e.g. gyroscopes, robotics). [M2, M6]

Indicative reading list

• Design of Machinery: an Introduction to the Synthesis and Analysis of Mechanisms and Machines, Norton, RL, 5th edition (McGraw Hill 2012).
• Shigley, J.E. Uicker, J.J. Theory of machines and mechanisms, McGraw-Hill Education, 2016.
• J.R. Meriam and L.G. Kraige, Engineering Mechanics, Dynamics (7th Edition), Wiley, 2006.
• Grosjean, J., Kinematics and Dynamics of Mechanisms, McGraw Hill 1991.
• AShabana, A. A., Computational Dynamics, 2nd Ed., Wiley 2001 .

Subject specific skills

1. Ability to conceive, make and realise a component, product, system or process;
2. Ability to develop economically viable and ethically sound sustainable solutions;
3. Ability to be pragmatic, taking a systematic approach and the logical and practical steps necessary for, often complex, concepts to become reality;
4. Ability to seek to achieve sustainable solutions to problems and have strategies for being creative and innovative;
5. Ability to be risk, cost and value-conscious, and aware of their ethical, social, cultural, environmental, health and safety, and wider professional engineering responsibilities;

Transferable skills

1. Numeracy: apply mathematical and computational methods to communicate parameters, model and optimize solutions;
2. Apply problem solving skills, information retrieval, and the effective use of general IT facilities;
3. Communicate (written and oral; to technical and non-technical audiences) and work with others;
4. Plan self-learning and improve performance, as the foundation for lifelong learning/CPD;
5. Exercise initiative and personal responsibility, including time management, which may be as a team member or leader;
6. Awareness of the nature of business and enterprise in the creation of economic and social value;
7. Overcome difficulties by employing skills, knowledge and understanding in a flexible manner;
8. Ability to formulate and operate within appropriate codes of conduct, when faced with an ethical issue;
9. Appreciation of the global dimensions of engineering, commerce and communication;
10. Be professional in their outlook, be capable of team working, be effective communicators, and be able to exercise responsibility and sound management approaches.