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008 130517s2013 au | s |||| 0|eng d
020 _a9783709115657
_9978-3-7091-1565-7
024 7 _a10.1007/978-3-7091-1565-7
_2doi
050 4 _aTA349-359
072 7 _aTGB
_2bicssc
072 7 _aSCI041000
_2bisacsh
072 7 _aTEC009070
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aKaveh, Ali.
_eauthor.
245 1 0 _aOptimal Analysis of Structures by Concepts of Symmetry and Regularity
_h[electronic resource] /
_cby Ali Kaveh.
264 1 _aVienna :
_bSpringer Vienna :
_bImprint: Springer,
_c2013.
300 _aXVI, 463 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
520 _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.
650 0 _aEngineering.
650 0 _aMathematical optimization.
650 0 _aStructural mechanics.
650 0 _aBuildings
_xDesign and construction.
650 0 _aBuilding.
650 0 _aConstruction.
650 0 _aEngineering, Architectural.
650 1 4 _aEngineering.
650 2 4 _aStructural Mechanics.
650 2 4 _aBuilding Construction.
650 2 4 _aOptimization.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783709115640
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-7091-1565-7
912 _aZDB-2-ENG
942 _2Dewey Decimal Classification
_ceBooks
999 _c47951
_d47951