Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions
Saleh, M., Nour, H., Mohammed, E. (2000). Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions. EKB Journal Management System, 44(1), 81-90. doi: 10.21608/esju.2000.313826
M. M. Saleh; H. M. Nour; E. M. Mohammed. "Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions". EKB Journal Management System, 44, 1, 2000, 81-90. doi: 10.21608/esju.2000.313826
Saleh, M., Nour, H., Mohammed, E. (2000). 'Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions', EKB Journal Management System, 44(1), pp. 81-90. doi: 10.21608/esju.2000.313826
Saleh, M., Nour, H., Mohammed, E. Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions. EKB Journal Management System, 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 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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