摘要
考虑结构的物理参数、几何尺寸和载荷环境的不确定性,尤其是温度场的不稳定性,对热固耦合结构进行基于可靠性约束的拓扑优化设计.首先采用一次二阶矩法得到可靠性指标,并用可靠性指标反映参数不确定性的影响.然后分别以结构柔度最小化和机构输出位移最大化为目标函数,以可靠性指标为约束条件,建立了热固耦合拓扑优化数学模型.最后将伴随矩阵敏度分析技术和准则算法应用于模型的数值求解中,并用数值算例验证了模型的正确性与适用性.结果表明,相比较于确定性拓扑优化设计,基于可靠性约束的拓扑优化设计可以找到经济性与安全性的最佳结合点,并可以获得性能更优的柔顺机构设计结果.
In this paper,the topology optimization design of thermo-mechanical coupling structures is investigated based on the reliability constraint and by taking into consideration the uncertainties of physical parameters,geome-tric dimensions and loading environments of actual structures,especially the instability of the temperature field.In the investigation,first,a reliability index is obtained by means of the first-order second-moment method and is used to describe the impact of parameter uncertainty.Next,the minimum structural flexibility and the maximum output displacement are respectively chosen as the objective function to establish the topology optimization model of ther-mo-mechanical coupling structures,with the reliability index as the constraint.Then,the proposed model is solved based on the adjoint sensitivity analysis and the Optimality Criteria algorithm,and the correctness and applicability of the model are finally validated by numerical examples.The results show that,as compared with the deterministic topology optimization design,the proposed method based on reliability constraint is more effective in achieving the best combination of economy and security in a structure and obtaining better design results of compliant mechanisms.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2011年第6期42-46,52,共6页
Journal of South China University of Technology(Natural Science Edition)
基金
国家杰出青年科学基金资助项目(50825504)
NSFC-广东省人民政府自然科学联合基金资助项目(U0934004)
关键词
柔顺机构
拓扑优化
不确定性
可靠性分析
热固耦合
compliant mechanism
topology optimization
uncertainty
reliability analysis
thermo-mechanical coupling
