LEADER 03079nam 22005055 450 001 9910887881403321 005 20260119112954.0 010 $a3-031-59140-2 024 7 $a10.1007/978-3-031-59140-2 035 $a(CKB)35369860200041 035 $a(MiAaPQ)EBC31679486 035 $a(Au-PeEL)EBL31679486 035 $a(DE-He213)978-3-031-59140-2 035 $a(EXLCZ)9935369860200041 100 $a20240915d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFundamentals of Structural Optimization (II) $eShape, Anisotropy, Topology /$fby Vladimir Kobelev 205 $a1st ed. 2024. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2024. 215 $a1 online resource (351 pages) 225 1 $aMathematical Engineering,$x2192-4740 311 08$a3-031-59139-9 327 $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. 330 $aThis book provides a comprehensive overview of analytical methods for solving optimization problems, covering principles and mathematical techniques alongside numerical solution routines, including MAPLE and MAXIMA optimization routines. Each method is explained with practical applications and ANSYS APDL scripts for select problems. Chapters delve into topics such as scaling methods, torsion compliance, shape variation, topological optimization, anisotropic material properties, and differential geometry. Specific optimization problems, including stress minimization and mass reduction under constraints, are addressed. The book also explores isoperimetric inequalities and optimal material selection principles. Appendices offer insights into tensors, differential geometry, integral equations, and computer algebra codes. Overall, it's a comprehensive guide for engineers and researchers in structural optimization. 410 0$aMathematical Engineering,$x2192-4740 606 $aEngineering mathematics 606 $aEngineering Mathematics 606 $aMatemātica per a enginyers$2thub 608 $aLlibres electrōnics$2thub 615 0$aEngineering mathematics. 615 14$aEngineering Mathematics. 615 7$aMatemātica per a enginyers 676 $a624.17713 700 $aKobelev$b Vladimir$01058619 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910887881403321 996 $aFundamentals of Structural Optimization (II)$94254590 997 $aUNINA