Mechanical Vibrations

Introduction to Vibration

· Introduction

· Systems Undergoing Vibration

· Types of Vibration

· Importance of Vibration

· Sources of Vibration

· Mathematical Formulations of Periodic Response

Free Vibration of Undamped Single Degree of Freedom System

· Introduction

· Free Vibration of Single Degree of Freedom System

· Dynamic of Rigid Bodies-A Quick Overview

· Energy Considerations of Free Vibration

Damped Free Vibration of Single Degree of Freedom System

· Introduction

· Viscous Damping

· Coulombic Damping

· Solution of Differential Equation of Motion of a System with Coulombic Damping

Force Vibration of Single Degree of Freedom System

· Introduction

· Forced Vibration

· Forced Vibration due to General Periodic Forces/Disturbances

· Energy Dissipated due to Viscous Damping-Concept of Equivalent Viscous Damping Coefficient

· Structural/ Material Damping

· Eddy-Current Damping

· Sharpness of Resonance

· Some Useful Concluding Remark

Transient Vibration of Single Degree of Freedom Systems

· Introduction

· Response to Unit Impulse

· Response to Arbitrary Excitation

· Response to Ground Motion

Vibration of Two Degree of Freedom Systems

· Introduction

· Free Vibration, Normal Modes of Vibration

· Coordinate Systems and Coordinate Coupling

· Forced Vibration of Undamped System

· Vibration Absorbers

Vibration of Multidegree of Freedom Systems

· Introduction

· Formulation of Equations of Motion (Force Method)

· Stiffness Matrix Formulation

· Energy Principle-Lagrange’s Equation

· Equation for Free Vibration (Undamped System)

· Expansion Theorem

· Modal Analysis

· Damped Free Vibration

Free Vibration of Continuous Systems

· Introduction

· Tightly-Stretched String or Wire

· Vibration of Continuous Elastic Media

· Free Vibration of a Membrane

· Free Vibration of a Plate

Forced Vibration of Continuous Systems

· Introduction

· Introduction to Virtual-Work Theorem for a Deformable Body

· Forced Vibration of Continuous Systems

Approximate Methods

· Introduction

· Estimation of Fundamental Frequency

· Estimation of Higher-Mode Frequency

· Concluding Remarks

Appendix A: Finite Element Method

Appendix B: Vibration Measurements and Control

Appendix C: Vibration and Noise

Appendix D: Special Topics in Vibration

Bibliography

Test Your Comprehension

Answers

Model Test Papers

Index