Optimal Analysis of Structures by Concepts of Symmetry and Regularity

• Main Author: Kaveh, Ali. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Vienna : Springer Vienna : Imprint: Springer, 2013.
• Subjects: Engineering.; Mathematical optimization.; Mechanical engineering.; Structural Mechanics.; Building Construction.; Optimization.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7091-1565-7

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...

Table of Contents:

• 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.