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001 978-3-031-59140-2
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020 _a9783031591402
_9978-3-031-59140-2
024 7 _a10.1007/978-3-031-59140-2
_2doi
050 4 _aTA329-348
072 7 _aTBJ
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aTBJ
_2thema
100 1 _aKobelev, Vladimir.
_eauthor.
_0(orcid)0000-0002-2653-6853
_1https://orcid.org/0000-0002-2653-6853
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979962
245 1 0 _aFundamentals of Structural Optimization (II)
_h[electronic resource] :
_bShape, Anisotropy, Topology /
_cby Vladimir Kobelev.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aXXX, 336 p. 72 illus., 68 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Engineering,
_x2192-4740
505 0 _aScaling Methods. Optimality of Michell Structures and membrane shells -- One-Dimensional Variational Methods. Optimization of twisted spherical shell -- Methods of Domain Variations for Shape Optimization -- Methods of Local Variations. Topological derivatives and Bubble Methods -- Methods of Tensor Transformations for Anisotropic Medium -- Methods of Differential Geometry. Optimal distributions of the residual stresses -- Integral Equation Methods. Optimization of stiffeners and needle-shaped inclusions -- Isoperimetric Inequalities. Structural optimization problems of stability.
520 _aThis book provides a comprehensive overview of analytical methods for solving optimization problems, covering principles and mathematical techniques alongside numerical solution routines, including MAPLE and MAXIMA optimization routines. Each method is explained with practical applications and ANSYS APDL scripts for select problems. Chapters delve into topics such as scaling methods, torsion compliance, shape variation, topological optimization, anisotropic material properties, and differential geometry. Specific optimization problems, including stress minimization and mass reduction under constraints, are addressed. The book also explores isoperimetric inequalities and optimal material selection principles. Appendices offer insights into tensors, differential geometry, integral equations, and computer algebra codes. Overall, it's a comprehensive guide for engineers and researchers in structural optimization.
650 0 _aEngineering mathematics.
_964145
650 1 4 _aEngineering Mathematics.
_964145
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031591396
776 0 8 _iPrinted edition:
_z9783031591419
776 0 8 _iPrinted edition:
_z9783031591426
830 0 _aMathematical Engineering,
_x2192-4740
_981010
856 4 0 _uhttps://doi.org/10.1007/978-3-031-59140-2
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c63386
_d63386