Rigorous implementation of the Galerkin method for uniform and stepped columns

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

AIAA Journal

Publication Status

Version of Record

Abstract

The aim of this paper is to deal with the often-occurring mistake in the implementation of the Galerkin method, and its correction. It is shown that the flexural rigidity should be represented as a discontinuous function incorporating a unit step function. This leads to occurrence of the Dirac’s delta function and its derivatives when substituting the flexural rigidity into the governing differential equation.

First Page

2261

Last Page

2268

DOI

10.2514/1.J059042

Publication Date

1-1-2020

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