Application of group theory to symmetric structures

This is fundamental -- Symmetry and its representation -- Group theory and structural mechanics -- Basics of the finite element method -- Block diagonalization theory for Dihedral groups -- Numerical analysis of dihedral group invariant systems -- Numerical efficiency evaluation of parallel computin...

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1. Verfasser: Ario, Ichiro (VerfasserIn)
Weitere Verfasser: Zawidzki, Machi (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Boca Raton, London, New York CRC Press 2024
Ausgabe:First edition
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Zusammenfassung:This is fundamental -- Symmetry and its representation -- Group theory and structural mechanics -- Basics of the finite element method -- Block diagonalization theory for Dihedral groups -- Numerical analysis of dihedral group invariant systems -- Numerical efficiency evaluation of parallel computing method -- Group products.
"Ario and Zawidzki show readers how to handle symmetric structures in engineering using group-theoretic bifurcation theory as a mathematical tool for the finite element analysis of symmetric structures. They guide the reader from the initial mathematical concepts through to application examples. Readers will gain a solid theoretical grounding in group theory and strong working knowledge of the use of computational frameworks for structural analysis using mathematical representations of symmetry and physical symmetry. First, the authors elaborate an outline of symmetric structures in engineering and then describe the representation of symmetry and group theory. They then discuss block diagonalization theory and finite element analysis models. This provides readers with the base knowledge needed for Chapter 6, which is based on numerical analysis examples of invariant, static FEM model systems and dynamic model systems of the dihedral group. This unique approach is a vital method that will enable readers to reduce the time and computation needed for accurate analysis so that they can better design such structures. The focus on finite element methods and practical examples and case studies throughout provides a strong practical foundation for anyone studying or working in this field. The book is a valuable resource for undergraduate and postgraduate students on various courses such as civil and mechanical engineering, architecture, structural engineering, applied mathematics, and physics. Additionally, it describes vital practical solutions for structural engineers, structural system manufacturers, fabricators of prefabricated elements, and developers of computational mechanics and so on"--
Beschreibung:Literaturverzeichnis: Seite 179-185
Beschreibung:xix, 189 Seiten
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ISBN:9781032670171
978-1-032-67017-1
9781032670379
978-1-032-67037-9