为实现陆上风电机组自相似模块化塔架的设计,提出相应的拓扑优化方法。基于三场理论,以体积比为约束和柔顺度最小化为目标建立拓扑优化列式,推导自相似模块化约束下的敏度表达式,以移动渐近线法优化求解并更新设计变量。基于Python对ANSYS软件二次开发相应的拓扑优化功能,得到不同层数的自相似结构。正常工况DLC1.2、DLC1.3和极端工况DLC6.2 3种典型工况的极限刚强度分析结果表明,自相似结构具有较优异的刚强度,从而证明了所提方法的可行性和优越性。
Abstract
To achieve the optimal design of onshore wind turbine tower structures, a self-similar modular topology optimization method is proposed. Based on the three-field theory, a topology optimization formulation for continuum structures is established, in which the compliance is minimized subject to the prescribed volume fraction. The sensitivity expressions under self-similar modular constraints are derived, while the optimization solution and design variable update are performed through the method of moving asymptotes. The ANSYS software is redeveloped for topology optimization functionality based on Python. Various layer numbers of self-similar structures are obtained. The ultimate stiffness and strength of the calculated structures under three typical loading conditions are computed and analyzed by finite element method. The results reveal that the self-similar structure is superior in mechanical properties such as maximum nodal displacement and stress value, proving the feasibility and superiority of the proposed methodology.
关键词
风电机组 /
塔架 /
结构设计 /
拓扑优化 /
模块化
Key words
wind turbines /
towers /
structural design /
topology optimization /
modularization
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基金
国家重点研发计划（2024YFE0208600）; 国家自然科学基金重大项目（U24B2090）; 南方电网公司新能源联合实验室2023—2024年度开放课题（GDXNY2024KF03）; 中央高校基本科研业务费（2024JC006）
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