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.
Saleh, M., Nour, H., & Mohammed, E. (2000). Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions. The Egyptian Statistical Journal, 44(1), 81-90. doi: 10.21608/esju.2000.313826
MLA
M. M. Saleh; H. M. Nour; E. M. Mohammed. "Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions", The Egyptian Statistical Journal, 44, 1, 2000, 81-90. doi: 10.21608/esju.2000.313826
HARVARD
Saleh, M., Nour, H., Mohammed, E. (2000). 'Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions', The Egyptian Statistical Journal, 44(1), pp. 81-90. doi: 10.21608/esju.2000.313826
VANCOUVER
Saleh, M., Nour, H., Mohammed, E. Stochastic Linear Vibration Under Randomization Of Excitation and Initial Conditions. The Egyptian Statistical Journal, 2000; 44(1): 81-90. doi: 10.21608/esju.2000.313826