Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions

Document Type : Original Article

Authors

Department of Engineering Mathematics & Physics, Faculty of Engineering, Mansoura University, Mansoura,Egypt

Abstract

This paper studies the solution of stochastic linear vibration under random initial conditions and random excitation. This solution becomes a random process characterized by the statistical moments. The statistical moments can be obtained directly from the deterministic solution when the excitation force is expressed as a product of deterministic function and a pure function of random variable. The case of harmonic excitation force is studied which is very important in base excitation problems and other applications.
 

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