摘要
基于有限元分析的形状优化算法,构建圆的渐开线型柔性板弹簧的有限元模型.以最小应力集中系数作为优化目标,最小应力值作为参变量,并分别以椭圆方程和阿基米德方程作为工具曲线确定形状控制参数,对板弹簧槽端封闭曲线进行形状优化.计算结果表明:最显著降低应力集中系数和最大应力的是经修正的外偏型阿基米德线封闭曲线,其次是椭圆弧线;优化计算结果与实验结果符合较好,表明所采用的柔性弹簧形状优化方法有效.
Based on the shape optimization algorithm of finite element analysis, a finite element model was established for a flexural plate spring with circular involute slits. Using minimum stress concen- tration coefficient as optimization object with the minimum stress value as parameter, the shape optimization of slot-end close curve for a flexural plate spring was carried out using elliptic equation and Archimedes equation respectively as tool curve to define shape control parameter. The calculated re- sults have demonstrated that most significantly reducing the stress concentration coefficient and maximum stress is the modified external partial type of Archimedean close curve, followed by the elliptic curve. The optimal calculated results are in good agreement with the experimental data, which indicates this shape optimization method adopted is effective for a flexural plate spring.
出处
《华中科技大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2014年第5期66-70,共5页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(50976037)
关键词
柔性结构
弹簧
应力集中
形状优化
有限元
flexible structures
springs
stress concentration
shape optimization
finite elementmethod