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 common subject in courses on mechanics of structures and stability of structural elements. We discuss how a 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.
On proper applications of Galërkin’s approach in structural mechanics courses / Ruta, Giuseppe; Elishakoff, Isaac. - In: THE INTERNATIONAL JOURNAL OF MECHANICAL ENGINEERING EDUCATION. - ISSN 0306-4190. - 50:2(2022), pp. 493-512. [10.1177/0306419020976361]
On proper applications of Galërkin’s approach in structural mechanics courses
RUTA Giuseppe
Primo
Investigation
;
2022
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 common subject in courses on mechanics of structures and stability of structural elements. We discuss how a 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.| File | Dimensione | Formato | |
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