Sensitivity Analysis Contact Reliability of VH-CATT Cylindrical Gear and Its Reliability with Material Strength Degradation

Qi Zhang, Guang Wen, Zhixin Chen, Qin Zhou, Guoqi Xiang, Guangchun Yang, Zhang Xuegang
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引用次数: 1

Abstract

VH-CATT cylindrical gear is a new transmission mechanism. In order to study the influence of design parameters and material strength degradation of the VH-CATT cylindrical gear on its transmission reliability. The Kriging surrogate model based on improved quantum particle swarm optimization (QPSO) algorithm was used to establish the limit state equation of contact stress for the VH-CATT cylindrical gear based on the stress-strength interference theory. The state equation of contact stress of the VH-CATT cylindrical gear was obtained with higher precision. Also, the strength degradation model with gamma distribution was established by using the P-S-N curve to estimate the parameters of the strength degradation model with gamma distribution. The reliability sensitivity of the VH-CATT cylindrical gear was analyzed by improved first order second moment method (AFOSM) based on the limit state equation of contact stress of the VH-CATT cylindrical gear, the reliability of gear considering strength degradation was studied by using the improved first order second moment method (AFOSM). The analysis results show that the failure rate decreases with the increase of pressure Angle, tooth width, modulus and tooth radius. The failure rate increases with increasing torque. Strength degradation has a certain influence on the reliability of gear and opinion. And the reliability of the gear is lower than that of the opinion, Strength degradation has a greater influence on the failure probability of gear, at the same time, the reliability of the gear pair decreases with the strength degradation. After 15000 hours of operation, the reliability of the gear pair is only 0.63155.
VH-CATT圆柱齿轮接触可靠性及其材料强度退化的灵敏度分析
VH-CATT圆柱齿轮是一种新型的传动机构。为了研究VH-CATT圆柱齿轮的设计参数和材料强度退化对其传动可靠性的影响。采用基于改进量子粒子群优化(QPSO)算法的Kriging代理模型,建立了基于应力-强度干涉理论的VH-CATT圆柱齿轮接触应力极限状态方程。得到了VH-CATT圆柱齿轮接触应力的状态方程,精度较高。并利用P-S-N曲线建立了具有gamma分布的强度退化模型,对具有gamma分布的强度退化模型参数进行了估计。基于VH-CATT圆柱齿轮接触应力极限状态方程,采用改进的一阶二阶矩法(AFOSM)分析了VH-CATT圆柱齿轮的可靠性灵敏度,采用改进的一阶二阶矩法(AFOSM)研究了考虑强度退化的齿轮的可靠性。分析结果表明:随着压力角、齿宽、模量和齿半径的增大,故障率降低;故障率随转矩的增大而增大。强度退化对齿轮的可靠性有一定的影响。齿轮的可靠性低于预期值,强度退化对齿轮失效概率的影响较大,同时齿轮副的可靠性随强度退化而降低。经过15000小时的运行,齿轮副的可靠性仅为0.63155。
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