Stability of stochastic Leipholz column with stochastic loading
type: Item
instance of: scholarly article
title: Stability of stochastic Leipholz column with stochastic loading
zbMATH Open document ID: 0758.73022
DOI: 10.1007/BF00804597
author: S. Singh
published in: Archive of Applied Mechanics
publication date: 1993-01-16T00:00:00Z
review text: The nonconservative structural systems are very sensitive to any deviations from the idealised model, including the loadings and system parameters. As a result, the probabilistic description of strength parameters, material properties, geometric boundary conditions, and external loading is necessary. In the paper the Leipholz column is considered which is subjected to random loading in space and has also stochastic material property fluctuations. The tangential loading is considered as an independent one-dimensional, univariate, homogeneous real stochastic field in space. The same considerations are concerned with the fluctuations of Young's modul and mass per unit length. To find the variances of critical loads, a Monte-Carlo simulation technique is formulated using the frequency equation. A numerical example is included which illustrates the applicability of the developed expressions and estimates the effects of various stochastic parameters of the system.
reviewed by: V.Gioncu
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 95191
zbMATH Keywords: stochastic material property
zbMATH Keywords: stochastic field
zbMATH Keywords: critical loads
zbMATH Keywords: Monte- Carlo simulation
zbMATH Keywords: frequency equation
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00804597
OpenAlex ID: W1527954444
description: scientific article; zbMATH DE number 95191