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

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...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of mechanical engineering education Vol. 50; no. 2; pp. 493 - 512
Main Authors Ruta, G, Elishakoff, I
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.04.2022
Sage Publications Ltd
Subjects
Circular plates
Engineering education
Mechanical engineering
Mechanics (physics)
Structural Elements (Construction)
Structural members
Structural stability
axisymmetric plates
critical loads
Galërkin’s technique
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0306-4190
2050-4586
DOI:10.1177/0306419020976361