On proper applications of Galërkin’s approach in structural mechanics courses

Author Type

Outside Researcher

Co-Author Type 1

Faculty

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

International Journal of Mechanical Engineering Education

Publication Status

Version of Record

Abstract

An incautious use of the well-known Galërkin’s technique to find approximate solutions of a differential problem may lead to apparently wrong results. Examples are based on an inverse approach to investigate buckling of compressed axisymmetric circular plates, a subject that is common in courses on mechanics of structures and stability of structural elements. We discuss how the mistake may originate and show how it is possible to recover the expected results, thus providing a means for the students to cross-check their outputs.

First Page

493

Last Page

512

DOI

10.1177/0306419020976361

Publication Date

4-1-2022

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