LEADER 03699nam 22005775 450 001 9910767548003321 005 20231201143337.0 010 $a3-031-34632-7 024 7 $a10.1007/978-3-031-34632-3 035 $a(MiAaPQ)EBC30983285 035 $a(Au-PeEL)EBL30983285 035 $a(DE-He213)978-3-031-34632-3 035 $a(CKB)29181440300041 035 $a(EXLCZ)9929181440300041 100 $a20231201d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFundamentals of Structural Optimization $eStability and Contact Mechanics /$fby Vladimir Kobelev 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (368 pages) 225 1 $aMathematical Engineering,$x2192-4740 311 08$aPrint version: Kobelev, Vladimir Fundamentals of Structural Optimization Cham : Springer,c2024 9783031346316 327 $a1. Optimization and inverse solutions for plane contacts -- 2. Optimization for axisymmetric contacts, charged and conducting disks -- 3. Optimization of needle-shaped stiffeners -- 4. Optimization for periodic arrays of needle-shaped stiffeners -- 5. Optimization of compressed rods with Sturm boundary conditions -- 6. Optimization of axially compressed rods with mixed boundary conditions. 330 $aThis book serves as a complementary resource to the courses "Advanced structural optimization" and "Structural optimization in automotive engineering" taught by the author at the University of Siegen, North-Rhine-Westphalia, Germany since 2001. Focusing on optimization problems in the field of structural engineering, this book offers a rigorous and analytical approach to problem-solving. Each chapter of the book begins with a brief overview of classical results and the derivation of governing equations. The solutions to optimization problems are then presented in a closed form, with the author guiding readers through several analytical methods for solving stability and contact tasks. Throughout the book, the author takes care to ensure that even readers without extensive experience in numerical computations can understand the conclusion of each relation. The book features several basic optimization problems, selected from a large pool of previously solved problems, with a particular emphasis on the unique features of optimization problems. By presenting analytical solutions, readers can better understand other known optimization problems and gain the skills needed to independently set and solve new problems. With its comprehensive and rigorous approach to problem-solving, this book is sure to enhance the reader's understanding of the field and equip them with the skills needed to tackle new challenges. . 410 0$aMathematical Engineering,$x2192-4740 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aMechanics, Applied 606 $aSolids 606 $aMathematical and Computational Engineering Applications 606 $aSolid Mechanics 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aMechanics, Applied. 615 0$aSolids. 615 14$aMathematical and Computational Engineering Applications. 615 24$aSolid Mechanics. 676 $a624.17713 676 $a624.17713 700 $aKobelev$b Vladimir$01058619 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910767548003321 996 $aFundamentals of Structural Optimization$93655403 997 $aUNINA