基于等几何分析的电热驱动柔顺机构拓扑优化设计  

Topological Design of Electrothermomechanical Compliant Mechanisms Using Isogeomtric Analysis

作　　者：占金青 晏家坤 蒲圣鑫 朱本亮[2] 刘敏 ZHAN Jinqing;YAN Jiakun;PU Shengxin;ZHU Benliang;LIU Min(School of Mechanotronics and Vehicle Engineering,East China Jiaotong University,Nanchang 330013;Guangdong Provincial Key Laboratory of Precision Equipment and Manufacturing Technique,South China University of Technology,Guangzhou 510641)

机构地区：[1]华东交通大学机电与车辆工程学院,南昌330013 [2]华南理工大学广东省精密装备与制造技术重点实验室,广州510641

出　　处：《机械工程学报》2023年第21期177-187,共11页Journal of Mechanical Engineering

基　　金：国家自然科学基金(52065019,52165002,51665011);江西省自然科学基金(20202BAB204015,20202ACBL214013);中国博士后科学基金面上(2022M723189)资助项目。

摘　　要：为了提高计算效率,提出一种基于等几何分析(Isogeometric analysis,IGA)的电热驱动柔顺机构拓扑优化设计方法。采用NURBS曲线表达几何模型和分析模型,利用改进的固体各向同性材料惩罚法和密度分布函数描述材料分布,采用顺序耦合方法进行电-热-结构多物理场耦合有限元分析,以电热驱动柔顺机构的输出位移最大化为目标函数,以机构的体积为约束,建立基于等几何分析的电热驱动柔顺机构拓扑优化数学模型,利用移动渐近线算法求解拓扑优化问题。数值算例验证了提出的设计方法的有效性。与基于有限元分析的优化结果相比,基于等几何分析获得的电热驱动柔顺机构拓扑构型有所不同,边界更加光滑,机构的输出位移更大;并且等几何分析能够有效地减少迭代步数,显著地提高了计算效率。分析不同的输出刚度对电热驱动柔顺机构拓扑构型和机构性能的影响规律。To improve the computational efficiency,a method for topology optimization of electrothermomechanical compliant mechanisms using isogeometric analysis(IGA)is proposed.The NURBS curve is employed to express geometric model and analysis model.The modified solid isotropic material with penalization approach and the density distribution function are used to describe the material distribution.The electric-thermal-mechanical multi-physics coupling finite element analysis is carried out by the sequential coupling method.The maximization of the output displacement is developed as the optimization objective subject to the volume constraint.The model for topology optimization of electrothermomechanical compliant mechanisms using isogeometric analysis is established.The method of moving asymptotic is used to solve the topology optimization problem.Numerical examples are presented to demonstrate the validity of the proposed design method.Compared with the results obtained by topology optimization using the finite element analysis,the optimal layouts of electrothermomechanical compliant mechanisms obtained by the topology optimization using isogeometric analysis is different,and the boundary is more smooth.The output displacement of the mechanisms obtained by isogeometric analysis is larger.The number of iteration steps can be effectively reduced and the calculation efficiency is greatly improved using isogeometric analysis.The influence of different output stiffnesses on the optimal configurations and performance of the electrothermomechanical compliant mechanisms is analyzed.

关 键 词：柔顺机构 电热驱动器 拓扑优化 等几何分析 

分 类 号：TH112[机械工程—机械设计及理论]