Optimal Analysis of Structures by Concepts of Symmetry and Regularity

• Κύριος συγγραφέας: Kaveh, Ali (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Vienna : Springer Vienna : Imprint: Springer, 2013.
• Θέματα: Engineering.; Mathematical optimization.; Structural mechanics.; Buildings > Design and construction.; Building.; Construction.; Engineering, Architectural.; Structural Mechanics.; Building Construction.; Optimization.

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...

Πίνακας περιεχομένων:

• 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.