Optimal Analysis of Structures by Concepts of Symmetry and Regularity - Kaveh, Ali.; SpringerLink (Online service) (Vienna : Springer Vienna : Imprint: Springer, 2013)
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.
Keywords: Mechanics; Mechanics, Applied; Buildings-Design and construction; Building; Construction; Engineering, Architectural; Mathematical optimization; Solid Mechanics; Building Construction and Design; Optimization