Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions | ||
The Egyptian Statistical Journal | ||
Article 7, Volume 44, Issue 1, June 2000, Pages 81-90 PDF (4.63 M) | ||
Document Type: Original Article | ||
DOI: 10.21608/esju.2000.313826 | ||
Authors | ||
M. M. Saleh* ; H. M. Nour; E. M. Mohammed | ||
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. | ||
Keywords | ||
Stochastic Linear Vibration; Random Initial Conditions; Random Excitation; Harmonic Excitation | ||
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