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Fundamentals of Structural Optimization: Stability and Contact Mechanics: Mathematical Engineering

Autor Vladimir Kobelev
en Limba Engleză Hardback – 2 dec 2023
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 solvedproblems, 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. 
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Specificații

ISBN-13: 9783031346316
ISBN-10: 3031346319
Pagini: 352
Ilustrații: XXVI, 352 p. 112 illus., 110 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.79 kg
Ediția:1st ed. 2023
Editura: Springer Nature Switzerland
Colecția Springer
Seria Mathematical Engineering

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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. 

Caracteristici

Rigorous analytical approach to structural optimization problems Clear and concise presentation of closed-form solutions to optimization problems Enables readers to independently set and solve new optimization problems