大倾斜度弹簧刚度表达式的推导及有限元验证  

Derivation and finite element verification of stiffness expression of large slant spring

作　　者：钱宁伟 李峥彬 肖奉英 沈逸舟 黄模佳[1] QIAN Ningwei;LI Zhengbing;XIAO Fengying;SHEN Yizhou;HUANG Mojia(Department of Engineering Mechanics,Nanchang University,Nanchang 330031,China)

机构地区：[1]南昌大学工程力学系,江西南昌330031

出　　处：《南昌大学学报（工科版）》2022年第1期78-83,共6页Journal of Nanchang University(Engineering & Technology)

摘　　要：目前的弹簧刚度解析表达式主要适应于工程上的密圈弹簧,但由于该解析表达式没有考虑弹簧钢丝的倾斜度对弹簧刚度的影响,对于大倾斜度弹簧用该解析表达式求解弹簧刚度与有限元仿真结果相比误差较大。根据能量法给出含倾斜度效应的弹簧刚度表达式,该结果不仅适应于求解大螺旋角弹簧刚度,也能退化到密圈弹簧弹簧刚度的求解,并且所得结果与有限元仿真结果相符,误差不超过0.21%,从而为大倾斜度圆柱弹簧刚度设计提供理论依据。The current analytical expression of spring stiffness was mainly suitable for tightly coil spring in engineering.However,because this analytical expression does not take into account the influence of the slant degree of spring steel wire on spring stiffness,there was a large error in solving spring stiffness with this analytical expression compared with the finite element simulation results for large slant spring.According to the energy method,the paper proposed the spring stiffness expression containing gradient effect,the result was not only suitable for solving large helix Angle of the spring stiffness,can also be degraded to the solution of the coil spring spring stiffness,and the results were in conformity with the finite element simulation results,the error was not more than 0.21%,so as to provide theoretical basis for large gradient cylindrical spring rigidity design.

关 键 词：倾斜度 弹簧刚度 能量法 有限元仿真 

分 类 号：TH135[机械工程—机械制造及自动化]