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ME-817 Advanced Theory of Vibrations
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Campus
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College of E&ME
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Programs
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PG
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Session
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Spring Semester 2017
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Course Title
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Advanced Theory of Vibrations
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Course Code
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ME-817
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Credit Hours
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3-0
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Pre-Requisutes
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Dynamics, vibrations
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Course Objectives
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- To provide an introduction to modal analysis techniques for analysing multiple degree-of-freedom (MDOF) discrete system.
- To introduce exact methods for analysing MDOF continuous systems using wave theory.
- To introduce approximate methods for analysing MDOF continuous systems using assumed mode, flexibility matrix and finite element method.
- To provide an introduction to vibration and shock control using viscoelastic and smart materials.
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Detail Content
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Discrete systems: Equation of motion: Newton’s law, Lagrange’s equation; Eigenvalue problem: natural frequencies and mode shapes; orthogonality of modes; proportional and non-proportional damping, static and dynamic coupling; modal analysis;
Continuous systems: Wave theory: derivation and solution of wave equations for longitudinal, flexural, torsional, and transverse vibrations of rods, beams, plates and shells. Exact frequency equation: free and forced vibration using closed form solutions. Rayleigh-Ritz approach: free forced via assumed modes. Flexibility matrix approach; finite element method.
Control: Viscoelasticity: complex modulus of viscoelastic materials, anti-vibration mount. Smart material: piezoelectric, shape memory alloys. Smart structures: collocated sensors and actuators, PZT shunts, active vibration control, semi active vibration dampers.
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Text/Ref Books
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- Mechanical Vibrations, S. S. Rao, Prentice Hall, 4th edition.
- Theory of Vibration with Applications, W. T. Thomson, Prentice Hall, 4th edition.
- Fundamentals of Mechanical Vibrations, S. G. Kelly, McGraw-Hill, 2nd edition.
- Modal Testing, Theory and Practice By D. J. Ewins, Wiley.
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Time Schedule
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Spring, 2017
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Faculty/Resource Person
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Naveed Akmal Din, PhD
PhD (University of Manchester) UK
Discipline: Mechanical Engineering
Specialisation: Vibrations, Modal Analysis, Smart structures
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