现代制造工程 ›› 2024, Vol. 531 ›› Issue (12): 87-93.doi: 10.16731/j.cnki.1671-3133.2024.12.011

• 车辆工程制造技术 • 上一篇    下一篇

BFPC立柱结构仿生多目标优化设计*

李有堂, 连虎强   

  1. 兰州理工大学机电工程学院,兰州 730050
  • 收稿日期:2024-04-12 出版日期:2024-12-18 发布日期:2024-12-24
  • 作者简介:李有堂,博士,教授,博士研究生导师,主要研究方向为产品创新设计与现代强度理论。连虎强,硕士研究生,主要研究方向为产品创新设计。E-mail:liyt@lut.edu.cn
  • 基金资助:
    *国家自然科学基金项目(52365057,51965037)

Bionic multi-objective optimization design of BFPC column structure

LI Youtang, LIAN Huqiang   

  1. School of Mechanical and Electrical Engineering,Lanzhou University of Technology,Lanzhou 730050,China
  • Received:2024-04-12 Online:2024-12-18 Published:2024-12-24

摘要: 以立式数控机床立柱为研究对象,提出玄武岩纤维树脂混凝土(Basalt Fiber reinforced Polymer Concrete,BFPC)立柱结构仿生新构型。建立机床立柱有限元模型,通过静动态性能分析,基于响应面法和遗传算法,对影响BFPC立柱性能较大的设计参数进行拉丁超立方实验设计,通过灵敏度分析建立响应面模型,选取立柱质量、最大静变形量和一阶固有频率作为优化目标,利用多目标遗传算法得到Pareto最优解集。仿真结果表明,与原型立柱相比,优化后的立柱质量减小了42.64 %,最大静变形量减小了20.98 %,一阶固有频率提高了2.99 %,该优化方法使得立柱静动态性能显著提升,达到轻量化和最佳尺寸的设计效果,可以为立柱优化设计提供参考。

关键词: 机床立柱, 结构仿生, 响应面法, 遗传算法,多目标优化

Abstract: Taking the vertical CNC machine tool column as the research object,a new bionic configuration of Basalt Fiber reinforced Polymer Concrete (BFPC) column structure was proposed. The finite element model of the machine tool column was established,and through the analysis of static and dynamic performance,based on the response surface method and genetic algorithm,the Latin hypercube experimental design was carried out on the design parameters that greatly affected the performance of the BFPC column,and the response surface model was established by sensitivity analysis,and the column mass,maximum static deformation and first-order natural frequency were selected as the optimization targets,and the Pareto optimal solution set was obtained by multi-objective genetic algorithm. The simulation results show that compared with the prototype column,the optimized column mass is reduced by 42.64 %,the maximum static deformation is reduced by 20.98 %,and the first-order natural frequency is increased by 2.99 %. This optimization method significantly improves the static and dynamic performance of the column,achieves the design effect of light weight and optimal size,and can provide a reference for the optimal design of the column.

Key words: machine tool column, structural biomimicry, response surface method, genetic algorithms, multi-objective optimization

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