Dynamics of Machines

This subject is not offered in 2014.

200 hours

NA

NA

For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements of this entry.

The University is dedicated to provide support to those with special requirements. Further details on the disability support scheme can be found at the Disability Liaison Unit website: http://www.services.unimelb.edu.au/disability

AIMS

The subject aims to provide the understanding of rigid body dynamics, extending from the pre-requisite subject: MCEN30016 Mechanical Dynamics. The study will concentrate on the continuous motion as well as collision of rigid bodies (impact). Kinematics of rigid bodies will be discussed with focus on the deeper understanding of constraints, degrees of freedom, generalised coordinates, absolute velocities in different reference frames. Kinetics will extend the understanding of Newton-Euler approach in multi-body mechanisms and the concepts of Virtual Work and Virtual Displacement, kinetic energy function, potential energy function, leading to the introduction of the Lagrange Equation for the derivation of the equation of motion. Collision of rigid bodies is modelled using the Impulse Momentum Principal. Vibration of mechanical system is addressed in this subject through the derivation of the equation of motion about equilibrium points.

INDICATIVE CONTENT

Multi-body dynamics (18 lectures and 12 hours of tutorial/project work): Constraints, mobility, generalised coordinates, degrees of freedom, driving forces, virtual displacement, generalised force, moments of inertia, Principal Axis Principal, Parallel Axis Theorem, impressed forces and constraint forces, principle of virtual work, Lagrange equations of motion, kinetic energy function, potential energy function, collisions of unconstrained and constrained bodies, solution of mathematical models.

Vibrations (18 lectures and 12 hours of tutorial/project work): Vibration of discrete and continuous systems, modal analysis, vibration isolation, torsional and bending vibrations, vibration absorbers, and system identification. Vibrations of rotors, critical speeds, balancing.

INTENDED LEARNING OUTCOMES (ILO)

Having completed this unit the student is expected to be able to:

1 - Formulate physical and mathematical models for three-dimensional dynamic analysis of mechanical systems
2 - Solve the mathematical models by means of analytical and numerical methods and assess stability of their solutions
3 - Formulate physical and mathematical models of mechanical systems for vibration analysis
4 - Obtain solutions using analytical and/or numerical methods and have an increased understanding of vibration analysis of complex structures

• Three written assignments (10%)
• One laboratory assignment (10% total)
• One 3-hour end-of-semester examination (60%)

HURDLE - Students will need to get a mark of at least 50% in the exam to pass this subject.

All assessments are associated with Intended Learning Outcomes 1-4.

Ginsberg JH, Engineering Dynamics, Cambridge University Press 2008.

This subject is not available as a breadth subject.

On completion of the subject students should have the following skills -

• Ability to apply knowledge of science and engineering fundamentals
• Ability to undertake problem identification, formulation, and solution
• Ability to utilise a systems approach to complex problems and to design and operational performance
• Ability to communicate effectively, with the engineering team and with the community at large
• Capacity for lifelong learning and professional development

LEARNING AND TEACHING METHODS

The subject will be delivered through a combination of lectures and tutorials. Students will also complete three assignments and amid semester quiz which will reinforce the material covered in lectures.

INDICATIVE CONTENT
Multi-body dynamics (18 lectures and 12 hours of tutorial/project work):

Constraints, mobility, generalised coordinates, degrees of freedom, driving forces, virtual displacement, generalised force, moments of inertia, Principal Axis Principal, Parallel Axis Theorem, impressed forces and constraint forces, principle of virtual work, Lagrange equations of motion, kinetic energy function, potential energy function, collisions of unconstrained and constrained bodies, solution of mathematical models.

Vibrations (18 lectures and 12 hours of tutorial/project work):

Vibration of discrete and continuous systems, modal analysis, vibration isolation, torsional and bending vibrations, vibration absorbers, and system identification. Vibrations of rotors, critical speeds, balancing.

INDICATIVE KEY LEARNING RESOURCES

Students will have access to lecture notes and lecture slides. The subject LMS site also contains worked solutions for all the tutorials, while assignment problems will be discussed in the lecture after submission.