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结构优化基础(二):形状、各向异性、拓扑

English | 2024 | ISBN-10: 3031591399 | 366 pages| Epub PDF (True) | 44 MB

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.

中文|2024|ISBN-10:3031591399|366页|Epub PDF(True)|44 MB本书全面概述了解决优化问题的分析方法,涵盖了原理和数学技术以及数值求解例程,包括MAPLE和MAXIMA优化例程。每种方法都用实际应用和ANSYS APDL脚本来解释,用于选择问题。各章深入探讨了缩放方法、扭转柔量、形状变化、拓扑优化、各向异性材料特性和微分几何等主题。讨论了具体的优化问题,包括约束下的应力最小化和质量减轻。本书还探讨了等周不等式和最优材料选择原则。附录提供了张量、微分几何、积分方程和计算机代数代码的见解。总的来说,它为工程师和研究人员在结构优化方面提供了全面的指导。
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