Random Vibration in Mechanical Systems

ForewordPrefaceChapter 1. Characterization of Random Vibration 1.1 What is Random Vibration? 1.2 Random Processes 1.3 Probability Distributions 1.4 Ensemble Averages, Mean and Autocorrelation 1.5 The Stationary and Ergodic Assumptions, Temporal Averages 1.6 Frequency Decomposition of Stationary Random Processes, Spectral Density 1.7 The Normal or Gaussian Random Process 1.8 Wide-Band and Narrow-Band Random Processes ReferencesChapter 2. Transmission of Random Vibration 2.1 Linear Time-Invariant Systems 2.2 Excitation-Response Relations for Stationary Random Processes 2.3 Response of a Single-Degree-of-Freedom System to Stationary Random Excitation 2.4 Response of a Two-Degree-of-Freedom System to Stationary Random Excitation ReferencesChapter 3. Failure Due to Random Vibration 3.1 Failure Mechanisms 3.2 Failure Due to First Excursion up to a Certain Level 3.3 Failure Due to Response Remaining Above a Certain Level for Too Great a Fraction of the Time 3.4 Failure Due to an Accumulation of Damage 3.5 Fatigue Failure 3.6 Fatigue Failure Due to a Stationary Narrow-Band Random Stress Process ReferencesAppendix A Additional Parameter Studies of Mean Square Responses of Two-Degree-of-Freedom System to White Noise ExcitationAppendix B Further Comparisons of Analog Computer Results with Eq. (2.65)Appendix C Analog Computer Measurements C-l General Description C-2 Input Spectral Density Measurements C-3 Mean Square Response Measurements ReferencesAuthor IndexSubject Index