(2000). Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions. test, 44(1), 81-90. doi: 10.21608/esju.2000.313826
. "Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions". test, 44, 1, 2000, 81-90. doi: 10.21608/esju.2000.313826
(2000). 'Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions', test, 44(1), pp. 81-90. doi: 10.21608/esju.2000.313826
Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions. test, 2000; 44(1): 81-90. doi: 10.21608/esju.2000.313826

Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions

The Egyptian Statistical Journal
Article 8, Volume 44, Issue 1, June 2000, Pages 81-90    PDF (4.63 M)
Document Type: Original Article
DOI: 10.21608/esju.2000.313826
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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