Author: Gupta S. Manohar C.S.
Publisher: Academic Press
ISSN: 0022-460X
Source: Journal of Sound and Vibration, Vol.253, Iss.5, 2002-06, pp. : 1051-1085
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
The problem of characterizing response variability and assessing reliability of vibrating skeletal structures made up of randomly inhomogeneous, curved/straight Timoshenko beams is considered. The excitation is taken to be random in nature. A frequency-domain stochastic finite element method is developed in terms of dynamic stiffness coefficients of the constituent stochastic beam elements. The displacement fields are discretized by using frequency- and damping-dependent shape functions. Questions related to discretizing the inherently non-Gaussian random fields that characterize beam elastic, mass and damping properties are considered. Analytical methods, combined analytical and simulation-based methods, direct Monte Carlo simulations and simulation procedures that employ importance sampling strategies are brought to bear on analyzing dynamic response variability and assessment of reliability. Satisfactory performance of approximate solution procedures outlined in the study is demonstrated using limited Monte Carlo simulations.
Related content
Dynamic stiffness analysis of non-uniform timoshenko beams
Journal of Sound and Vibration, Vol. 181, Iss. 3, 1995-03 ,pp. :
The Dynamic Response of a Timoshenko Beam Subjected to a Moving Mass
By Lee H.P.
Journal of Sound and Vibration, Vol. 198, Iss. 2, 1996-11 ,pp. :