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...
Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
Vienna :
Springer Vienna
2013.
Cham : Springer Nature |
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nodyn: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Optimal Analysis of Structures by Concepts of Symmetry and Regularity, Texte imprimé, 9783709115640 • Optimal Analysis of Structures by Concepts of Symmetry and Regularity, Texte imprimé, 9783709115664 • Optimal Analysis of Structures by Concepts of Symmetry and Regularity, Texte imprimé, 9783709117248 |
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| 001 | 946752 | ||
| 008 | 130704s2013 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN170493547 | ||
| 020 | |a 9783709115657 | ||
| 041 | 0 | |a eng | |
| 082 | |a 620.1 | ||
| 100 | 1 | |a Kaveh, Ali, |d 1948- | |
| 245 | 1 | 0 | |a Optimal analysis of structures by concepts of symmetry and regularity |c by Ali Kaveh. |
| 260 | |a Vienna : |b Springer Vienna. | ||
| 260 | |a Cham : |b Springer Nature, |c 2013. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 776 | 0 | |t Optimal Analysis of Structures by Concepts of Symmetry and Regularity |b Texte imprimé |z 9783709115640 | |
| 776 | 0 | |t Optimal Analysis of Structures by Concepts of Symmetry and Regularity |b Texte imprimé |z 9783709115664 | |
| 776 | 0 | |t Optimal Analysis of Structures by Concepts of Symmetry and Regularity |b Texte imprimé |z 9783709117248 | |
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