Strength Evaluation of a Linear Extended Structure on a Statically Inhomogeneous Foundation

Abstract:

In this paper the Galerkin method are used to obtain approximate solution to the stochastic beam bending problem. The present method is used to analyze the static deflection of beams. The uncertainty is represented as a parameterized stochastic process. Galerkin’s method selects the weight function functions in a special way: they are chosen from the basis functions, i.e. w(x)Î{ji(x)}, ni=1. It is required that the following n equations hold true. From the approximate solution, first and second order derivatives of the response are used. This paper solves the problem of strength and safety evaluation of a linear extended structure lying on a statically inhomogeneous foundation and presents an engineering analysis method.This paper solves the problem of strength and safety evaluation of a linear extended structure lying on a statically inhomogeneous foundation and presents an engineering analysis method.

• Periodical: Applied Mechanics and Materials (Volumes 725-726)
• Pages: 703-709
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.725-726.703
• Online since: January 2015
• Authors: Liudmila Muravieva, Nikolay Vatin*
• Keywords: Bubnov-Galerkin Variational Method, Fundamental Functions, Statically Inhomogeneous Foundation, Stochastic

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