Mechanical Vibration & Vehicle Dynamics

SYLLABUS

PART -A
UNIT_1 Introduction:
Types of vibration, Simple harmonic motion and definition of some terms of vibration, Vector method and
complex form of representing harmonic motions, addition of simple harmonic motions.
5 Hrs
UNIT-2 Undamped free vibration:
Introduction, Newton’s second law of motion method, D’Alembert’s principle, Energy method, Rayleigh’s
method, Single degree of freedom systems, Natural frequency of free vibration, equivalent stiffness of
springs, effect of spring mass. 8 Hrs
UNIT-3 Damped free vibration:
Single degree of freedom systems, types of damping, concept of critical damping and its importance, study
of viscous damped systems - under damping, critical damping and over damping, logarithmic decrement,
structural and coulomb damping. 6 Hrs
UNIT-4 Forced vibration:
Single degree of freedom systems, steady state solution with viscous damping due to harmonic force,
concept of frequency response, reciprocating an rotating unbalance, vibration isolation and transmissibility,
energy dissipated by damping, equivalent viscous damping, Structural damping, sharpness of resonance,
base excitation. 7Hrs
PART- B
UNIT-5 Vibration measuring instruments and Whirling of shafts:
Vibrometer, Accelerometer and frequency measuring instruments, whirling of shafts with and without air
damping, discussion of speeds above and below critical speeds. 6Hrs
UNIT-6 Two degree of freedom systems:
Introduction, principle and normal modes of vibration, co-ordinate coupling, generalized and principal coordinates,
orthogonality principle, Lagrange’s equation, semi-definite systems, forced vibrations, harmonic
excitation. Applications: Vehicle suspension, Dynamic vibration absorber, dynamics of reciprocating
engines. 6 Hrs
UNIT-7 Vehicle vibration and human comfort:
Vehicle vibration with single degree of freedom - free vibration, forced vibration - vibration due to road
roughness, vibration due to engine unbalance, transmissibility of engine mounting, vibration with two
degrees of freedom - free vibration - compensated suspension system, forced vibration - vibration due to
road roughness, vibration absorber.
6 Hrs
UNIT-8 Multi degree of freedom systems:
Introduction, influence coefficients, Maxwell’s reciprocal theorem, orthogonality principle, Dunker ley’s
equation, determination of natural frequencies using matrix iteration method, Holzer’s method for systems
with free, fixed free and fixed ends, stodola method, Rayleigh’s method for beam vibration
8 Hrs