Coincidence of Boobnov-Galerkin and closed-form solutions in an applied mechanics problem

Author Type

Faculty

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

Journal of Applied Mechanics Transactions ASME

Publication Status

Version of Record

Abstract

It is shown that the utilization of the Filonenko-Borodich set of functions, as the comparison functions in the Boobnov-Galerkin method leads to the result that coincides with the closed-form solution for the clamped-clamped uniform beam under uniformly distributed load. It is hoped that this remarkable, direct coincidence could be used in graduate courses and books on mechanics of solids.

First Page

777

Last Page

779

DOI

10.1115/1.1598474

Publication Date

9-1-2003

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