Random Vibrations: Analysis of Structural and Mechanical Systems

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Butterworth-Heinemann, 2004 - Science - 638 pages
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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 problems
  • Offers 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.
 

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Contents

body
1
Chapter 2 Fundamentals of Probability and Random Variables
11
Chapter 3 Expected Values of Random Variables
59
Chapter 4 Analysis of Stochastic Processes
103
Chapter 5 Time Domain Linear Vibration Analysis
167
Chapter 6 Frequency Domain Analysis
219
Chapter 7 Frequency Bandwidth and Amplitude
261
Chapter 8 Matrix Analysis of Linear Systems
307
Chapter 10 Introduction to Nonlinear Stochastic Vibration
415
Chapter 11 Failure Analysis
487
Chapter 12 Effect of Parameter Uncertainty
557
back matter
613
Appendix B Fourier Analysis
617
References
623
Author Index
633
index
635

Chapter 9 Direct Stochastic Analysis of Linear Systems
351

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