Dynamics 2

Description

This course extends on concepts introduced in first year mechanics (GENG1001) to provide a solid foundation on the dynamics of rigid bodies. An introduction to modelling the dynamics of discrete mechanical systems is also provided, with a focus on understanding the physical meaning of solutions in terms of mode shapes and natural frequencies of vibrating systems.

Topics include: kinematics and kinetics of planar rigid bodies, an introduction to 3D rigid body dynamics, modelling of dynamic mechanical systems, analytical solutions of linear models, and mode shapes and natural frequencies of multiple degree-of-freedom systems.

Availability

UoN Singapore

  • Trimester 3 - 2015 (Singapore)

Callaghan Campus

  • Semester 2 - 2015

Learning Outcomes

1. Provide a solid understanding of the dynamics of planar rigid body systems.

2. Solve problems as related to the dynamics planar rigid body systems.

3. Understand the issues involved in three-dimensional rigid body dynamics.

4. Develop dynamic models of simple mechanical systems and apply analytical techniques to examine their motion

5. Prepare documentation in the form of an engineering report.

Content

  1. Kinematics and kinetics of planar rigid bodies (momentum and energy methods).
  2. An introduction to three-dimensional rigid body mechanics (3D kinematics, moment of inertia tensors, and Euler’s equations).
  3. Modelling of dynamic mechanical systems (including Lagrange formulation).
  4. Natural frequency and damping ratio of single degree of freedom linear systems.
  5. Mode shapes and natural frequencies of multiple degree-of-freedom linear systems.

Assumed Knowledge

1. Dynamics of point masses (GENG1001 ¿ Introduction to Engineering Mechanics) 2. Vector cross and dot products (MATH1110 ¿ Mathematics 1) 3. Ordinary differential equations (MATH2310 ¿ Calculus of Science and Engineering)

Assessment Items

Quiz: Mid Semester Quiz

Report: Engineering Report

Formal Examination: Formal Examination

Contact Hours

Lecture

Face to Face On Campus 3 hour(s) per Week for Full Term

Students enrolled in the part-time evening programme at UoN Singapore will receive equivalent instruction delivered in a block mode of 7 teaching weeks

Tutorial

Face to Face On Campus 3 hour(s) per Week for Full Term