Fundamentals of structural optimization : stability and contact mechanics / Vladimir Kobelev.
2023
TA658.8
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Details
Title
Fundamentals of structural optimization : stability and contact mechanics / Vladimir Kobelev.
Author
ISBN
9783031346323 (electronic bk.)
3031346327 (electronic bk.)
9783031346316
3031346319
3031346327 (electronic bk.)
9783031346316
3031346319
Published
Cham : Springer, [2023]
Copyright
©2023
Language
English
Description
1 online resource (xxvi, 352 pages) : illustrations (chiefly color).
Item Number
10.1007/978-3-031-34632-3 doi
Call Number
TA658.8
Dewey Decimal Classification
624.1/7713
Summary
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, 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. .
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed December 6, 2023).
Series
Mathematical engineering. 2192-4740
Available in Other Form
Print version: 9783031346316
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Table of Contents
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.
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.