Random Vibrations: Analysis of Structural and Mechanical Systems

The topic of Random Vibrations is the behavior of structural and mechanical systems when they are subjected to unpredictable, or random, vibrations. These vibrations may arise from natural phenomena such as earthquakes or wind, or from human-controlled causes such as the stresses placed on aircraft at takeoff and landing. Study and mastery of this topic enables engineers to design and maintain structures capable of withstanding random vibrations, thereby protecting human life.

Random Vibrations will lead readers in a user-friendly fashion to a thorough understanding of vibrations of linear and nonlinear systems that undergo stochastic—random—excitation.

Provides over 150 worked out example problems and, along with over 225 exercises, illustrates concepts with true-to-life engineering design problemsOffers intuitive explanations of concepts within a context of mathematical rigor and relatively advanced analysis techniques.Essential for self-study by practicing engineers, and for instruction in the classroom.

Random Vibrations, 1st Edition

Table of Contents
Chapter 1 Introduction 
Chapter 2 Fundamentals of Probability and Random Variables 
Chapter 3 Expected Values of Random Variables
Chapter 4 Analysis of Stochastic Processes
Chapter 5 Time Domain Linear Vibration Analysis
Chapter 6 Frequency Domain Analysis 
Chapter 7 Frequency, bandwith, and Amplitude
Chapter 8 Matrix Analysis of Linear Systems
Chapter 9 Direct Stochastic Analysis of Linear Systems
Chapter 10 Introduction to Nonlinear Stochastic
Vibration 
Chapter 11 Failure Analysis
Chapter 12 Effect of Parameter Uncertainty
Appendices A and B