Description: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.