Fundamentals of Structural Optimization (II) Shape, Anisotropy, Topology /

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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Kobelev, Vladimir (مؤلف)
مؤلف مشترك: SpringerLink (Online service)
التنسيق: الكتروني كتاب الكتروني
اللغة:الإنجليزية
منشور في: Cham : Springer International Publishing : Imprint: Springer, 2024.
الطبعة:1st ed. 2024.
سلاسل:Mathematical Engineering,
الموضوعات:
الوصول للمادة أونلاين:https://doi.org/10.1007/978-3-031-59140-2
الوسوم: إضافة وسم
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250 |a 1st ed. 2024. 
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300 |a 1 online resource (XXX, 336 p. 72 illus.).  |b 68 illus. in color. 
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505 0 |a Scaling Methods. Optimality of Michell Structures and membrane shells -- One-Dimensional Variational Methods. Optimization of twisted spherical shell -- Methods of Domain Variations for Shape Optimization -- Methods of Local Variations. Topological derivatives and Bubble Methods -- Methods of Tensor Transformations for Anisotropic Medium -- Methods of Differential Geometry. Optimal distributions of the residual stresses -- Integral Equation Methods. Optimization of stiffeners and needle-shaped inclusions -- Isoperimetric Inequalities. Structural optimization problems of stability. 
520 |a 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. 
532 8 |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility 
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532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
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