一种基于博弈论的多材料鲁棒拓扑优化方法和系统

By using game theory to determine the most unfavorable load and transforming it into a dual-material optimization problem, the complexity and computational burden of multi-material robust optimization methods are solved, achieving simplified procedures and improved robustness in multi-material optimization.

CN118398126BActive Publication Date: 2026-07-17CENT SOUTH UNIV

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
CENT SOUTH UNIV
Filing Date
2024-02-29
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

Existing multi-material robust optimization methods are conceptually complex and difficult to implement, and involve too many optimization variables, resulting in huge computational costs.

Method used

A game theory-based robust topology optimization method for multiple materials is adopted. The most unfavorable load is determined through dynamic game theory with complete information, and the multi-material optimization problem is transformed into a series of dual-material optimization problems involving solid materials and empty materials, which simplifies the optimization process and reduces the number of optimization variables.

Benefits of technology

The robust optimization process has been simplified, resulting in diverse and more robust structural forms, providing engineers with a variety of structural options and solving the problem of high computational cost in existing technologies.

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Abstract

本发明涉及结构设计和优化技术领域,公开了一种基于博弈论的多材料鲁棒拓扑优化方法和系统,该方法首先确定结构的最不利荷载,然后根据得到的荷载结果进行结构的多材料优化;同时依据动态博弈的思想,在多材料优化中,首先确定多材料优化的顺序,将多材料优化问题转换为一系列的最不利荷载确定和非空材料以及空材料优化问题,能够降低优化变量的数目,同时概念简单,易于实施。相比现有技术,利用博弈论的思想进行结构多材料鲁棒拓扑优化,不仅简化了鲁棒优化的流程,而且得到的结构形式多样且鲁棒性更强,为工程师依据各种约束条件选择结构形式提供了多样的选择。
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