摘要
针对传统牛顿-拉弗森法因初值迭代不当导致的迭代不收敛和收敛慢的问题,建立了基于无沟道控制理论的高速角接触球轴承拟静力学模型,通过改进的粒子群优化算法找出全局最优解,将其作为迭代初值求解拟静力学模型。并将改进算法与文献和试验的结果进行对比验证,结果表明采用改进算法计算得到的内外圈接触角、球的姿态角、内外圈接触载荷与文献的误差小于5%,采用改进算法计算得到的径向位移与实测结果误差小于15%,且收敛率大幅提高,证明了改进算法的正确性。
Aimed at the problem of non-convergence and slow convergence caused by improper initial value iteration in traditional Newton-Raphson method,a quasi-static model of high-speed angular contact ball bearings is established based on raceway free control theory.The global optimal solution is found by improved particle swarm optimization algorithm and used as iterative initial value to solve the model.The results of improved algorithm are comparatively validated with those of literature and experiments.The results show that the contact angles of inner and outer rings,attitude angles of balls,contact loads of inner and outer rings calculated by improved algorithm exhibit error of less than 5%compared to literature calculations,the error between radial displacement calculated by improved algorithm and measured results is less than 15%,and the convergence rates are significantly improved,proving the correctness of improved algorithm.
作者
蒋紫阳
张长
倪文钧
张伟业
廖富强
JIANG Ziyang;ZHANG Chang;NI Wenjun;ZHANG Weiye;LIAO Fuqiang(School of Mechanical Engineering,Qinghai University,Xining 810016,China)
出处
《轴承》
北大核心
2025年第10期85-92,共8页
Bearing
基金
青海省科技计划资助项目(2023-ZJ-735)。
关键词
滚动轴承
角接触球轴承
静力学
牛顿-拉弗森法
收敛
转速
接触角
载荷
rolling bearing
angular contact ball bearing
statics
Newton-Raphson method
convergence
rotational speed
contact angle
load
