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Optimal Analysis of Structures by Concepts of Symmetry and Regularity

Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kaveh, Ali (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Vienna : Springer Vienna : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction to symmetry and regularity
  • Introduction to graph theory and algebraic graph theory
  • Graph products and configuration processing
  • Canonical forms, basic definitions and properties
  • Canonical forms for combinatorial optimization; nodal ordering and graph partitioning
  • Graph products for ordering and graph partitioning
  • Canonical forms applied to structural mechanics
  • Graph products applied to the analysis of regular structures
  • Graph products applied to locally modified regular structures by direct methods
  • Graph products applied to regular and locally modified regular structures by iterative methods
  • Group theory and applications in structural mechanics
  • Graph-group method for the analysis of symmetric regular structures.