Dynamics of Machines

Subject MCEN90009 (2013)

Note: This is an archived Handbook entry from 2013.

Credit Points: 12.50
Level: 9 (Graduate/Postgraduate)
Dates & Locations:

This subject is not offered in 2013.

Time Commitment: Contact Hours: 36 hours lectures, 12 hours tutorials, 4 hours laboratory
Total Time Commitment:

120 hours

Study Period Commencement:
Credit Points:
Not offered in 2013


Recommended Background Knowledge:


Non Allowed Subjects: None
Core Participation Requirements:

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



Subject Overview:

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, 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 and their stability in the sense of Lyapunov.

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.


Upon completion, students should be able to -

• Formulate physical and mathematical models for three-dimensional dynamic analysis of mechanical systems
• Solve the mathematical models by means of analytical and numerical methods and assess stability of their solutions
• Formulate physical and mathematical models of mechanical systems for vibration analysis
• 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%)

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

Prescribed Texts:


Breadth Options:

This subject is not available as a breadth subject.

Fees Information: Subject EFTSL, Level, Discipline & Census Date
Generic Skills:

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

Related Majors/Minors/Specialisations: B-ENG Mechanical Engineering stream
Master of Engineering (Mechanical)
Master of Engineering (Mechatronics)

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