Fundamentals of Structural Optimization (II): Shape, Anisotropy, Topology (Mathematical Engineering) - Hardcover

Buch 2 von 2: Fundamentals of Structural Optimization: Stability and Contact Mechanics

Kobelev, Vladimir

 
9783031591396: Fundamentals of Structural Optimization (II): Shape, Anisotropy, Topology (Mathematical Engineering)

Inhaltsangabe

This 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.

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Über die Autorin bzw. den Autor

Vladimir Kobelev, Ph.D., Dr. rer. nat. habil., received the Dipl. In Physics and Ph.D. degrees from the Department of Aerophysics and Space Research, Moscow Institute of Physics and Technology, Dolgoprudny, Russia. Since 2000, he has been an APL professor with the Department of Mechanical Engineering, Universität Siegen, Siegen, Germany. He is the author of three books, "Durability of Springs", "Design and Analysis of Composite Structures for Automotive Applications" and "Fundamentals of structural optimization".

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