摘要
以加筋平板结构的多阶模态频率达到指定值为优化目标,探讨结构的优化设计方法。提出一种双向渐进结构拓扑优化法结合尺寸优化方法的结构频率优化设计的改进方法。该方法采用具有规则格栅骨架的加筋平板结构优化模型,以骨架中的梁为结构修改基本单位,以梁敏度计算为基础。实现以频率为目标函数、以体积为约束,并结合敏度再分配策略的结构优化设计。最后,运用尺寸优化方法对优化结果进行后续详细设计。经加筋平板结构频率优化设计算例证明,该方法能满足结构的多阶模态频率优化要求;同时优化结果不存在一般拓扑优化的不规则结构问题,抑制局部模态的产生,对飞机风洞颤振实验模型的设计具有借鉴意义。
Structural optimal design of stiffened plate with multi order modal frequencies objective is discussed. A new method combined with improved bi-directional evolutionary structural optimization （BESO） and size optimization is introduced. An optimization model consists of regular shaped grid-like frame structure is established. The bars of the frame structure are regarded as basic unites of structure modification and the bars＇ sensitivity is discussed. The frequencies are used as design target with volume constraint, and adjacent sensitivity redistribution method is adopted to suppress numerical instability. Finally, size optimization is supplemented to complete the detailed design. This method is applied to a stiffened plate structure. Results show that the proposed approach is feasible to achieve a given set of modal frequencies. And there is no porous or irregular shaped structure in the optimized structure, and then the localized modes problem is avoid. This is very useful for designing wind tunnel test models in practice.
出处
《机械强度》
CAS
CSCD
北大核心
2013年第2期179-182,共4页
Journal of Mechanical Strength
基金
国家自然科学基金青年基金(50605004)
辽宁省博士启动基金(20061064)资助
关键词
加筋平板
结构设计
频率优化
双向渐进结构优化
Stiffened plate
Structural design
Frequency optimization
Bi-directional evolutionary structural optimization （BESO）
