New exact solutions for randomly loaded beams with stochastic flexibility

Author Type

Faculty

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Faculty

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

International Journal of Solids and Structures

Publication Status

Version of Record

Abstract

Presently there exist several hundred papers on so-called stochastic finite element technique but extremely few closed-form solutions are available for meaningful comparison. This paper intends to fill this huge gap. This study deals with deformation of deterministic beams or stochastic beams subjected to random excitation. Exact solutions are formulated for four different classes of problems. These solutions can serve as benchmark solutions to be utilized for assessing the performance of various approximate, analytical or numerical techniques.

First Page

2325

Last Page

2340

DOI

10.1016/S0020-7683(98)00113-9

Publication Date

1-8-1999

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