LEADER 04481nam 22006735 450 001 9910741151603321 005 20251113211838.0 010 $a9783709115657 010 $a3709115655 024 7 $a10.1007/978-3-7091-1565-7 035 $a(OCoLC)844346012 035 $a(MiFhGG)GVRL6VJU 035 $a(CKB)2670000000371230 035 $a(MiAaPQ)EBC1316962 035 $a(MiFhGG)9783709115657 035 $a(DE-He213)978-3-7091-1565-7 035 $a(EXLCZ)992670000000371230 100 $a20130517d2013 u| 0 101 0 $aeng 135 $aurun#---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aOptimal Analysis of Structures by Concepts of Symmetry and Regularity /$fby Ali Kaveh 205 $a1st ed. 2013. 210 1$aVienna :$cSpringer Vienna :$cImprint: Springer,$d2013. 215 $a1 online resource (xvi, 463 pages) $cillustrations 225 0 $aGale eBooks 300 $aDescription based upon print version of record. 311 08$a9783709117248 311 08$a3709117240 311 08$a9783709115640 311 08$a3709115647 320 $aIncludes bibliographical references and index. 327 $aIntroduction 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. 330 $aOptimal 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. 606 $aMechanics, Applied 606 $aSolids 606 $aBuildings$xDesign and construction 606 $aMathematical optimization 606 $aSolid Mechanics 606 $aBuilding Construction and Design 606 $aOptimization 615 0$aMechanics, Applied. 615 0$aSolids. 615 0$aBuildings$xDesign and construction. 615 0$aMathematical optimization. 615 14$aSolid Mechanics. 615 24$aBuilding Construction and Design. 615 24$aOptimization. 676 $a624.171 700 $aKaveh$b A$g(Ali),$f1948-$01596023 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910741151603321 996 $aOptimal analysis of structures by concepts of symmetry and regularity$94409226 997 $aUNINA