Abstract
AbstractBy random vibration of a linear dynamic system we mean the vibration of a deterministic linear system exposed to random (stochastic) loads. Random processes are characterized by the fact that their behavior cannot be predicted in advance and therefore can be treated only in a statistical manner. An example of a micro-stochastic process is the “Brownian motion” of particles and molecules (Wax in Wang and Uhlenbeck, Rev. Mod. Phys. 17(2–3), pages 323–342, April–July 1945, Selected Papers on Noise and Stochastic Processes, 1964). A macro-stochastic process example is the motion of the earth during an earthquake. During the launch of a spacecraft, it will be exposed to random loads of mechanical and acoustic nature. The random mechanical loads are the base acceleration excitation at the interface between the launch vehicle and the spacecraft. The random loads are caused by several sources, e.g. the interaction between the launch-vehicle structure and the engines, exhaust noise, combustion. Turbulent boundary layers will introduce random loads. In this chapter we review the theory of random vibrations of linear systems. For further study on the theory of random vibration see Bismark-Nasr (Structural Dynamics in Aeronautical Engineering, AIAA Education Series, 1999), Lutes and Sarkani (Stochastic Analysis of Structural and Mechanical Vibrations, Prentice Hall, New York, 1997), Newland (An Introduction to Random Vibrations, Spectral and Wavelet Analysis, 3rd edition, Longman, Harlow, 1994) and Preumont (Random Vibration and Spectral Analysis, Kluwer Academic, Dordrecht, 1990).KeywordsPower Spectral DensityRandom VibrationInterface ForceSdof SystemPower Spectral Density FunctionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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