Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Optimal Analysis of Structures by Concepts of Symmetry and Regularity

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 containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks. ; This book presents algorithms that will enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems.; 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.; 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 containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks. ; Helps to solve large-scale problems in structural analysis Guidance for those working on “symmetry” in different fields of engineering and in particular in the field of civil and mechanical engineering Methods helping to save costs and time ; NL http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Optimal Analysis of Structures by Concepts of Symmetry and Regularity

472 pages

Loading next page...
 
/lp/springer-e-books/optimal-analysis-of-structures-by-concepts-of-symmetry-and-regularity-bNF1e4FvVp

References (0)

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
Springer Vienna
Copyright
Copyright � Springer Basel AG
DOI
10.1007/978-3-7091-1565-7
Publisher site
See Book on Publisher Site

Abstract

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 containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks. ; This book presents algorithms that will enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems.; 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.; 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 containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks. ; Helps to solve large-scale problems in structural analysis Guidance for those working on “symmetry” in different fields of engineering and in particular in the field of civil and mechanical engineering Methods helping to save costs and time ; NL

Published: May 16, 2013

There are no references for this article.