Some exact solutions for the bending of beams with spatially stochastic stiffness
type: Item
instance of: scholarly article
title: Some exact solutions for the bending of beams with spatially stochastic stiffness
zbMATH Open document ID: 0920.73075
DOI: 10.1016/0020-7683(94)00257-W
author: Isaac Elishakoff
author: M. Shinozuka
author: Yongjian Ren
published in: International Journal of Solids and Structures
publication date: 1997-05-06T00:00:00Z
review text: A new method is developed to obtain exact solutions for first and second moments of displacements for statically determinate beams that have spatially random stiffness. The method is based on the full probabilistic characterization of the random stiffness so that the solutions are valid for any value of the coefficient of variation of the stiffness. The deterministic governing equations and boundary conditions derived for both first and second moments allow to determine exact solutions for the mean and covariance functions of the displacements.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74A40
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 989002
zbMATH Keywords: first and second moments of displacements
zbMATH Keywords: deterministic governing equations and boundary conditions
zbMATH Keywords: covariance functions
MaRDI profile type: Publication
full work available at URL: 0020-7683(94)00257-w
OpenAlex ID: W2076012407
description: scientific article; zbMATH DE number 989002