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Mechanical Vibrations in SI Units 6th edition by Singiresu Rao 1292178604 9781292178608

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ISBN 10: 1292178604

ISBN 13: 9781292178608

Author:  Singiresu Rao


For courses in vibration engineering. Building Knowledge: Concepts of Vibration in Engineering Retaining the style of previous editions, this Sixth Edition of Mechanical Vibrations effectively presents theory, computational aspects, and applications of vibration, introducing undergraduate engineering students to the subject of vibration engineering in as simple a manner as possible. Emphasising computer techniques of analysis, Mechanical Vibrations thoroughly explains the fundamentals of vibration analysis, building on the understanding achieved by students in previous undergraduate mechanics courses. Related concepts are discussed, and real-life applications, examples, problems, and illustrations related to vibration analysis enhance comprehension of all concepts and material. In the Sixth Edition, several additions and revisions have been made-including new examples, problems, and illustrations-with the goal of making coverage of concepts both more comprehensive and easier to follow.

Mechanical Vibrations in SI Units 6th Table of contents:

Chapter 1 Fundamentals of Vibration

1.1 Preliminary Remarks

1.2.1 Origins of the Study of Vibration

1.2.2 From Galileo to Rayleigh

1.2.3 Recent Contributions

Chapter 2 Free Vibration of Single-Degree-of-Freedom Systems

2.1 Introduction

2.2.1 Equation of Motion Using Newton’s Second Law of Motion

2.2.2 Equation of Motion Using Other Methods

Chapter 3 Harmonically Excited Vibration

3.2 Equation of Motion

3.3 Response of an Undamped System Under Harmonic Force

3.3.2 Beating Phenomenon

Chapter 4 Vibration Under General Forcing Conditions

4.1 Introduction

4.2 Response Under a General Periodic Force

4.2.1 First-Order Systems

Chapter 5 Two-Degree-of-Freedom Systems

5.1 Introduction

5.2 Equations of Motion for Forced Vibration

5.3 Free-Vibration Analysis of an Undamped System

Chapter 6 Multidegree-of-Freedom Systems

6.2 Modeling of Continuous Systems as Multidegree-of-Freedom Systems

6.3 Using Newton’s Second Law to Derive Equations of Motion

6.4.1 Stiffness Influence Coefficients

Chapter 7 Determination of Natural Frequencies and Mode Shapes

7.1 Introduction

7.2 Dunkerley’s Formula

7.3 Rayleigh’s Method

Chapter 8 Continuous Systems

8.1 Introduction

8.2.1 Equation of Motion

8.2.2 Initial and Boundary Conditions

Chapter 9 Vibration Control

9.1 Introduction

9.2 Vibration Nomograph and Vibration Criteria

9.3 Reduction of Vibration at the Source

Chapter 10 Vibration Measurement and Applications

10.1 Introduction

10.2.1 Variable-Resistance Transducers

10.2.2 Piezoelectric Transducers

Chapter 11 Numerical Integration Methods in Vibration Analysis

11.1 Introduction

11.2 Finite Difference Method

11.3 Central Difference Method for Single-Degree-of-Freedom Systems

Chapter 12 Finite Element Method

12.1 Introduction

12.2 Equations of Motion of an Element

12.3.1 Bar Element

Chapter 13 Nonlinear Vibration

13.1 Introduction

13.2.1 Simple Pendulum

13.2.3 Variable Mass System

Chapter 14 Random Vibration

14.1 Introduction

14.2 Random Variables and Random Processes

14.3 Probability Distribution

 

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