Stability analysis of stochastically parametered nonconservative columns

Ramu, Anantha S and Ganesan, R and Sankar, TS (1992) Stability analysis of stochastically parametered nonconservative columns. In: International Journal of Solids and Structures, 29 (23). pp. 2973-2988.

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Abstract

Nonconservatively loaded columns. which have stochastically distributed material property values and stochastic loadings in space are considered. Young's modulus and mass density are treated to constitute random fields. The support stiffness coefficient and tip follower load are considered to be random variables. The fluctuations of external and distributed loadings are considered to constitute a random field. The variational formulation is adopted to get the differential equation and boundary conditions. The non self-adjoint operators are used at the boundary of the regularity domain. The statistics of vibration frequencies and modes are obtained using the standard perturbation method, by treating the fluctuations to be stochastic perturbations. Linear dependence of vibration and stability parameters over property value fluctuations and loading fluctuations are assumed. Bounds for the statistics of vibration frequencies are obtained. The critical load is first evaluated for the averaged problem and the corresponding eigenvalue statistics are sought. Then, the frequency equation is employed to transform the eigenvalue statistics to critical load statistics. Specialization of the general procedure to Beck, Leipholz and Pfluger columns is carried out. For Pfluger column, nonlinear transformations are avoided by directly expressing the critical load statistics in terms of input variable statistics.

Item Type:	Journal Article
Publication:	International Journal of Solids and Structures
Publisher:	Elsevier science
Additional Information:	Copyright of this article belongs to Elsevier science.
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	30 May 2011 08:44
Last Modified:	30 May 2011 08:44
URI:	http://eprints.iisc.ac.in/id/eprint/37639

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