Page 32 - Singiresu S. Rao-Mechanical Vibrations in SI Units, Global Edition-Pearson (2017)

Galileo Galilei (1564–1642), an Italian astronomer, philosopher, and professor of
mathematics at the Universities of Pisa and Padua, in 1609 became the first man
to point a telescope to the sky. He wrote the first treatise on modern dynamics in
1590. His works on the oscillations of a simple pendulum and the vibration of
strings are of fundamental significance in the theory of vibrations.

Juulijs/Fotolia

Chapter 1

Fundamentals
of Vibration

Chapter Outline
Chapter Outline 29 1.9 Damping Elements 74
Learning Objectives 30 1.10 Harmonic Motion 83
1.1 Preliminary Remarks 30 1.11 Harmonic Analysis 93
1.2 Brief History of the Study of Vibration 31 1.12 Examples Using MATLAB 105
1.3 Importance of the Study of Vibration 38 1.13 Vibration Literature 109
1.4 Basic Concepts of Vibration 43 Chapter Summary 110
1.5 Classification of Vibration 46 References 110
1.6 Vibration Analysis Procedure 48 Review Questions 112
1.7 Spring Elements 52 Problems 116
1.8 Mass or Inertia Elements 69 Design Projects 149

This chapter introduces the subject of vibrations in a relatively simple manner. It begins
with a brief history of the subject and continues with an examination of the importance of
vibration. The basic concepts of degrees of freedom and of discrete and continuous sys-
tems are introduced, along with a description of the elementary parts of vibrating systems.

29