考虑横截面形状和几何尺寸的弹簧优化的两步式策略

李重华 1; 刘丰睿 1; 叶振信 2; 赵丽滨 1

doi:10.7652/xjtuxb202011009

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考虑横截面形状和几何尺寸的弹簧优化的两步式策略

更新时间：2025-07-09

- 考虑横截面形状和几何尺寸的弹簧优化的两步式策略
- A Two-Step Strategy for Spring Optimization Considering Section Shape and Geometry Size
- 西安交通大学学报 2020年54卷第11期页码：74-80
- 作者机构：
  
  北京航空航天大学宇航学院,北京,100191
- 作者简介：
- 基金信息：
  
  : 2020-05-05。作者简介: 李重华(1997—),男,硕士生;刘丰睿(通信作者),男,讲师。基金项目: 国家自然科学基金资助项目(11702012,11772028,11872131)
- DOI：10.7652/xjtuxb202011009
  中图分类号： TH135
- 网络首发：2020-11-10，
  
  纸质出版：2020
- 稿件说明：
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李重华 1, 刘丰睿 1, 叶振信 2, 等. 考虑横截面形状和几何尺寸的弹簧优化的两步式策略[J]. 西安交通大学学报, 2020,54(11):74-80.

A Two-Step Strategy for Spring Optimization Considering Section Shape and Geometry Size[J]. 2020, 54(11): 74-80.
李重华 1, 刘丰睿 1, 叶振信 2, 等. 考虑横截面形状和几何尺寸的弹簧优化的两步式策略[J]. 西安交通大学学报, 2020,54(11):74-80. DOI： 10.7652/xjtuxb202011009.

A Two-Step Strategy for Spring Optimization Considering Section Shape and Geometry Size[J]. 2020, 54(11): 74-80. DOI： 10.7652/xjtuxb202011009.

摘要

针对弹簧优化设计中理论公式设计局限性大和有限元方法对多变量和多约束的优化设计效率低的问题

提出了一种考虑横截面形状和几何尺寸的弹簧优化的两步式策略。该策略利用密圈弹簧的理论计算公式结合多起点搜索方法对弹簧几何尺寸进行优化; 采用有限元方法建立可以考虑截面形状变化的弹簧模型

用几何尺寸最优解为初值

采用零阶方法同时对截面形状和几何尺寸进行优化获得最优解。仿真结果表明:两步式策略能同时考虑横截面形状和几何尺寸进行弹簧优化设计

拓展了弹簧的设计范围; 通过将两步式的优化策略结果与直接进行基于有限元方法的优化结果相比发现

优化时间减少了55.86%

两步式策略效率较高

降低了有限元优化的迭代次数; 优化目标提高了14.31%

改善了出现局部最优解的情况。

Abstract

Aiming at the limitation of theoretical formula design and the low efficiency of finite element method for multi-variable and multi-constraint optimization in spring optimization design

a two-step strategy for spring optimization considering section shape and geometry size is proposed. In the first step

geometry sizes of the spring is optimized with the helical spring theoretical formulae combined with the multi-start search algorithm. In the second step

a spring model considering cross-section shape is established by the finite element method. The optimal solution of geometry sizes is taken as the initial value

and the cross-section shape as well as geometry sizes are optimized by the zero-order method to acquire the optimal solution. Simulation results show that the two-step strategy can optimize the spring design by considering section shape and geometry size

expanding the design range of the spring. Compared with the results optimized directly based on FEM

the calculation time of the two-step optimization strategy is reduced by 55.86%

which shows that the two-step strategy is efficient to reduce the iterative number of FEM optimization. Optimization objective is increased by 14.31%

and the local optimal solution is improved.

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references

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