• CN：11-2187/TH
• ISSN：0577-6686

• 功能设计专栏 •

### 基于矩阵算式和蚁群算法的元功能链设计方案优化方法*

1. 1. 临沂大学机械工程学院 临沂 276005;
2. 南京航空航天大学机电学院 南京 210016
• 出版日期:2016-12-05 发布日期:2016-12-05
• 作者简介:

康与云，男，1978年出生，博士，副教授。主要研究方向为计算机辅助创新设计，现代集成制造技术。

E-mail：kangyuyun@lyu.edu.cn

唐敦兵(通信作者)，男，1972年出生，教授，博士研究生导师。主要研究方向为设计理论与方法，智能制造系统。

E-mail：d.tang@nuaa.edu.cn

• 基金资助:
* 国家自然科学基金(51575264)、江苏省高校青蓝工程和山东省自然科研基金(ZR2016EEM47)资助项目; 20160412收到初稿，20160903收到修改稿;

### An Optimization Method for Meta-functional Chain Design Solution Based on Computational Matrix and Ant Colony Algorithm

KANG Yuyun1, TANG Dunbing2

1. 1. College of Mechanical Engineering， Linyi University， Linyi 276005;
2. College of Mechanical and Electrical Engineering，Nanjing University of Aeronautics & Astronautics， Nanjing 210016
• Online:2016-12-05 Published:2016-12-05

Abstract:

To solve the problem of the lack of optimization tools in the matrix-based solving process of the functional chain design solution, an optimization method based on computational matrix combined with ant colony algorithm is proposed. The similarity theory is analyzed, and similarity and generalized distance are used to characterize the compatibility of the two adjacent elements. The similarity matrix is defined, and the design solution matrix containing similarity information is acquired by the calculation of the similarity matrix and the design solution matrix. The design scheme evaluation model and the ant colony algorithm based optimization model are defined, and the calculation method of the evaluation criterion, weight and value is proposed. As the evaluation score of components is pheromone and as the length of generalized distance is the path of adjacent nodes, the pheromone matrix and probability matrix is structured. The problem of solution solving is converted to the optimal path problem of combinatorial optimization. The design solution contained in the design solution matrix is optimized with ant colony algorithm, and the optimized design solution meeting the functional requirements, structural requirements and the evaluation target is obtained. Finally, the effectiveness of the proposed method is verified with an example of three-axis servo drive.