Random Mechanical Vibration -- Linear Random Vibration Systems -- Acoustic Random Vibration -- Low Frequency Acoustic Loads -- Statistical Energy Analysis -- Statistical Energy Analysis -- Fokker-Planck-Kolmogorov Method or Diffusion Equation Method -- Fokker-Planck-Kolmogorov Method or Diffusion Equation Method.

This book treats the random mechanical and acoustical vibrations of deterministic and statistical dynamic systems, in the low and high frequency range. The following topics are discussed in great detail: Vibrations of deterministic linear mechanical dynamic systems exposed to mechanical random loads and or enforced motion (acceleration); Vibrations of deterministic linear mechanical dynamic systems exposed to random acoustic loads (sound pressures; Random vibration of statistically defined mechanical systems and loads using Statistical Energy Analysis (SEA); Non-linear structures excited to random (white noise) mechanical loads analyzed by using the Fokker-Planck-Kolgomorov (FPK) equation. The theory of random vibration is strongly related to the design of spacecraft structures and is illustrated with simple and more difficult worked examples; each section ends with posed problems; usually answers are provided. .