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ME817 Advanced Theory of Vibrations

Campus

College of E&ME

Programs

PG

Session

Spring Semester 2017

Course Title

Advanced Theory of Vibrations

Course Code

ME817

Credit Hours

30

PreRequisutes

Dynamics, vibrations

Course Objectives

 To provide an introduction to modal analysis techniques for analysing multiple degreeoffreedom (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.

Detail Content

Discrete systems: Equation of motion: Newton’s law, Lagrange’s equation; Eigenvalue problem: natural frequencies and mode shapes; orthogonality of modes; proportional and nonproportional 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. RayleighRitz approach: free forced via assumed modes. Flexibility matrix approach; finite element method.
Control: Viscoelasticity: complex modulus of viscoelastic materials, antivibration mount. Smart material: piezoelectric, shape memory alloys. Smart structures: collocated sensors and actuators, PZT shunts, active vibration control, semi active vibration dampers.

Text/Ref Books

 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, McGrawHill, 2nd edition.
 Modal Testing, Theory and Practice By D. J. Ewins, Wiley.

Time Schedule

Spring, 2017

Faculty/Resource Person

Naveed Akmal Din, PhD
PhD (University of Manchester) UK
Discipline: Mechanical Engineering
Specialisation: Vibrations, Modal Analysis, Smart structures

