基于等几何分析的电热驱动柔顺机构拓扑优化设计

doi:10.3901/JME.2023.21.177

机械工程学报 ›› 2023, Vol. 59 ›› Issue (21): 177-187.doi: 10.3901/JME.2023.21.177

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基于等几何分析的电热驱动柔顺机构拓扑优化设计

占金青¹, 晏家坤¹, 蒲圣鑫¹, 朱本亮², 刘敏¹

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

收稿日期:2022-12-28 修回日期:2023-05-05 出版日期:2023-11-05 发布日期:2024-01-15
通讯作者: 刘敏(通信作者)，男，1990年出生，博士，副教授。主要研究方向为柔性铰链优化设计。E-mail：lmin2016@foxmail.com
作者简介:占金青，男，1979年出生，博士，教授。主要研究方向为柔顺机构优化设计。E-mail：zhan_jq@126.com晏家坤，男，2000年出生，硕士研究生。主要研究方向为柔顺机构拓扑优化设计。E-mail：yan_000927@126.com；朱本亮，男，1986年出生，博士，教授。主要研究方向为柔顺机构拓扑优化理论与方法。E-mail：meblzhu@scut.edu.cn
基金资助:
国家自然科学基金(52065019,52165002,51665011)、江西省自然科学基金(20202BAB204015,20202ACBL214013)和中国博士后科学基金面上(2022M723189)资助项目。

Topological Design of Electrothermomechanical Compliant Mechanisms Using Isogeomtric Analysis

ZHAN Jinqing¹, YAN Jiakun¹, PU Shengxin¹, ZHU Benliang², LIU Min¹

1. School of Mechanotronics and Vehicle Engineering, East China Jiaotong University, Nanchang 330013;
2. Guangdong Provincial Key Laboratory of Precision Equipment and Manufacturing Technique, South China University of Technology, Guangzhou 510641

Received:2022-12-28 Revised:2023-05-05 Online:2023-11-05 Published:2024-01-15

摘要/Abstract

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。

关键词: 柔顺机构, 电热驱动器, 拓扑优化, 等几何分析

Abstract: 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.

Key words: compliant mechanisms, electrothermomechanical actuators, topology optimization, isogeometric analysis

中图分类号:

TH112

占金青, 晏家坤, 蒲圣鑫, 朱本亮, 刘敏. 基于等几何分析的电热驱动柔顺机构拓扑优化设计[J]. 机械工程学报, 2023, 59(21): 177-187.

ZHAN Jinqing, YAN Jiakun, PU Shengxin, ZHU Benliang, LIU Min. Topological Design of Electrothermomechanical Compliant Mechanisms Using Isogeomtric Analysis[J]. Journal of Mechanical Engineering, 2023, 59(21): 177-187.

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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

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