Advanced Dynamics & Vibrations
University of Queensland
Area of Study
Taught In English
Course Level Recommendations
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Host University Units2
Recommended U.S. Semester Credits4
Recommended U.S. Quarter Units6
Hours & Credits
Discrete systems: multidegree of freedom systems & applications; vibration isolation and absorption. Continuous systems: free and forced vibration, modal analysis, approximate techniques, finite element method. Advanced topics: vibration measurement techniques, nonlinear phenomena, demonstration project.
This course extends the study of dynamics and vibration commenced in MECH2210. The work covers principles and practice in the theory of dynamics and vibration and is a preparation for both professional engineering and postgraduate study.
The scope of the course includes: Discrete systems: multidegree of freedom systems & applications, vibration isolation & absorption. Continuous systems: free & forced vibration, modal analysis, approximate techniques, finite element method. Advanced topics: vibration measurement techniques, nonlinear phenomena, demonstration project.
After successfully completing this course you should be able to:
1 UNDERSTAND AND APPLY DISCRETE, MULTI-DEGREE OF FREEDOM, SYSTEMS VIBRATION THEORY
1.1 Revise modelling using Lagrange’s equations and understand how to obtain linear equations of motion in matrix form.
1.2 Solve for undamped natural frequencies and mode shapes of two degree of freedom and multiple degree of freedom systems.
1.3 Understand modal analysis of discrete systems, including orthogonality of modes and use direct and modal solutions to forced vibration problems.
1.4 Apply the theory to engineering applications involving free and forced vibration, such as dynamic vibration absorption, torsional systems, coupled translation/rotation and damped motion.
1.5 Understand and use computer packages to solve multi-degree of freedom vibration problems.
2 UNDERSTAND AND APPLY CONTINUOUS SYSTEMS THEORY
2.1 Model and analyse the fundamental types of continuous systems vibrations including transverse string, axial, torsional and beam vibrations and use them to determine natural modes of vibration for engineering applications.
2.2 Model and analyse the forced vibration of beams and orthogonality and apply them to solve engineering applications.
2.3 Derive and understand approximate methods including Rayleigh's Energy, Dunkerley’s, Holzer and Finite Element Methods and apply them to solve more complex problems in engineering.
2.4 Understand and use a finite element computer package to extend fundamental concepts to solve complex multi-beam and plate engineering problems.
3 UNDERSTAND AND APPLY ADVANCED TOPICS IN DYNAMICS AND VIBRATIONS
3.1 Understand vibration measurement and instrumentation and perform experimental modal analysis on a structure.
3.2 Understand and apply signal processing using fast Fourier transforms.
3.3 Understand extended dynamics and vibration concepts such as likely nonlinear phenomena.
3.4 Understand how the course material is applied in industry.
3.5 Demonstrate via physical and or simulation model and report on a concept or application in advanced dynamics and vibrations.
Courses and course hours of instruction are subject to change.
Eligibility for courses may be subject to a placement exam and/or pre-requisites.
Some courses may require additional fees.
Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.