ON VARIOUS FOURIER SERIES UTILIZED FOR SOLUTION OF STRUCTURAL MECHANICS PROBLEMS.

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Industrial Mathematics

Publication Status

Version of Record

Abstract

This study is devoted to elucidation of the feasibility of using various Fourier series representations in structural mechanics. This is illustrated by the problem of beam bending under distributed loading. It is shown that three representations of the force function, namely, half-range cosine, half-range sine, and mixed, yield the same final solution, and hence are all valid. It is concluded that the choice should be based on considerations of simplicity and/or convenience of the solution process. The results are also relevant to shell buckling.

First Page

123

Last Page

147

Publication Date

12-1-1986

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