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

Kobelev, Vladimir

Hardcover

ISBN 10: 3031591399 ISBN 13: 9783031591396

Verlag: Springer, 2024

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

Prof. Dr. rer. nat. habil. Vladimir Kobelev ist Diplom-Physiker und promovierte am Institut für Aerophysik und Weltraumforschung des Moskauer Instituts für Physik und Technologie in Dolgoprudny. Seit dem Jahr 2000 war er zunächst als Privatdozent und später als APL-Professor an der Fakultät für Naturwissenschaften und Technik im Fachbereich Maschinenbau der Universität Siegen tätig.

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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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2024
• Sprache: Englisch
• ISBN 10: 3031591399
• ISBN 13: 9783031591396
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 366
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland