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＜電子ブック＞
Fundamentals of Structural Optimization : Stability and Contact Mechanics / by Vladimir Kobelev
(Mathematical Engineering. ISSN:21924740)

版	1st ed. 2023.
出版者	(Cham : Springer Nature Switzerland : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	XXVI, 352 p. 112 illus., 110 illus. in color : online resource
著者標目	*Kobelev, Vladimir author SpringerLink (Online service)
件　名	LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Mechanics, Applied LCSH:Solids FREE:Mathematical and Computational Engineering Applications FREE:Solid Mechanics
一般注記	1. 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 This 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, witha 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. HTTP:URL=https://doi.org/10.1007/978-3-031-34632-3

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