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Module 1: Overview of Vibration Control

Lecture 1: Introduction to Vibration Control

Parameters of Vibration System

Every vibrating system, in general, comprises of three parameters, these are Inertia, Stiffness, and Damping.

Inertia and Stiffness are generally modelled as simple elements like:

Parameters	Rectilinear	Angular
Inertia	Mass	Moment of Inertia
Stiffness	Linear Spring	Torsional Spring

Spring element	Spring constants
		D - Coil diameter d - wire diameter n - no. of turns G - shear modulus
		E: modulus of elasticity I: area moment l: length of candilever beam
		E: modulus of elasticity I: area moment l: length of candilever beam
		E: modulus of elasticity I: area moment l: length of candilever beam
		E: modulus of elasticity I: area moment l: length of the fixed beam
		k₁, k₂: spring constants of springs in series
		k₁, k₂: spring constants of springs in parallel

Torsional Spring Element	Spring Constants
		D - Coil diameter d - wire diameter n - turns E - Elastic modulus
		E - Elastic modulus I: area moment l: length of cantilever beam
		E - Elastic modulus I: area moment l: length of cantilever beam