The current research on gear system dynamics mainly utilizes linear spring damping model to calculate the contact force between gears. However, this linear model cannot correctly describe the energy transfer process o...The current research on gear system dynamics mainly utilizes linear spring damping model to calculate the contact force between gears. However, this linear model cannot correctly describe the energy transfer process of collision that often occurs in gear system. Focus on the contact-impact events, this paper proposes an improved gear contact force model for dynamic analysis in helical gear transmission system. In this model, a new factor associated with hysteresis damping is developed for contact-impact state, whereas the traditional linear damping factor is utilized for normal meshing state. For determining the selection strategy of these two damping factors, the fundamental contact mechanics of contact-impact event a ected by supporting forces are analyzed. During this analysis, an e ect factor is proposed for evaluating the influence of supporting forces on collision. Meanwhile, a new restitution of coe cient is deduced for calculating hysteresis damping factor, which suitable for both separation and non-separation states at the end of collision. In addition, the time-varying meshing sti ness(TVMS) is obtained based on the potential energy approach and the slice theory. Finally, a dynamic analysis of a helical gear system is carried out to better understand the contact force model proposed in this paper. The analysis results show that the contribution of supporting forces to the dynamic response of contact-impact event within gear pair is important. The supporting forces and dissipative energy are the main reasons for gear system to enter a steady contact state from repeated contact-impact state. This research proposes an improved contact force model which distinguishes meshing and collision states in gear system.展开更多
运用最小二乘支持向量机(Sparse least squares support vector machines,SLS-SVM)机器学习方法建立风场随机风速模型,根据随机风速模型和空气动力学理论得到随机风引起的系统外部载荷激励,建立考虑齿轮时变啮合刚度和滚动轴承时变刚度...运用最小二乘支持向量机(Sparse least squares support vector machines,SLS-SVM)机器学习方法建立风场随机风速模型,根据随机风速模型和空气动力学理论得到随机风引起的系统外部载荷激励,建立考虑齿轮时变啮合刚度和滚动轴承时变刚度的风力发电机行星齿轮传动系统齿轮—轴承耦合动力学模型,并对动力学模型进行仿真计算,分别得到各齿轮副的动态啮合力和滚动轴承动态接触力。以此为基础,将载荷作用过程视为随机过程,推导出随机载荷作用下的等效载荷累计分布函数。根据应力—强度干涉理论建立风力发电机齿轮传动系统各齿轮和轴承的动态可靠性模型,利用二阶矩和摄动方法求出各齿轮、轴承的动态可靠性指标,并计算出动态可靠度,研究各齿轮、轴承和传动系统的动态可靠度随时间的变化规律,为风力发电机齿轮传动系统动态可靠性设计奠定了基础。展开更多
针对风电齿轮传动系统在复杂随机风载下运行的特点,运用加权最小二乘支持向量机(Weight Sparse Least Squares Support Vector Machines,SLS-SVM)方法建立风场随机风速模型,进而得到随机风引起的系统外部载荷激励。建立考虑齿轮时变啮...针对风电齿轮传动系统在复杂随机风载下运行的特点,运用加权最小二乘支持向量机(Weight Sparse Least Squares Support Vector Machines,SLS-SVM)方法建立风场随机风速模型,进而得到随机风引起的系统外部载荷激励。建立考虑齿轮时变啮合刚度、综合啮合误差、滚动轴承变刚度的风电齿轮传动系统的平移-扭转动力学模型,求得传动系统各齿轮副的动态啮合力和各支承轴承的动态接触力及相应的应力时间历程。应用雨流计数法统计循环参量,结合Goodman公式将工作循环应力水平按等寿命原则转换为对称循环下的疲劳应力谱。基于Palmgren-Miner线性累积损伤法则和材料P-S-N(失效概率-应力-循环次数)曲线,预测风电齿轮传动系统各齿轮和轴承的疲劳寿命。为风力发电机齿轮传动系统动态疲劳寿命预测提供了理论方法。展开更多
基金Supported by National Natural Science Foundation of China(Grant No.51475263)
文摘The current research on gear system dynamics mainly utilizes linear spring damping model to calculate the contact force between gears. However, this linear model cannot correctly describe the energy transfer process of collision that often occurs in gear system. Focus on the contact-impact events, this paper proposes an improved gear contact force model for dynamic analysis in helical gear transmission system. In this model, a new factor associated with hysteresis damping is developed for contact-impact state, whereas the traditional linear damping factor is utilized for normal meshing state. For determining the selection strategy of these two damping factors, the fundamental contact mechanics of contact-impact event a ected by supporting forces are analyzed. During this analysis, an e ect factor is proposed for evaluating the influence of supporting forces on collision. Meanwhile, a new restitution of coe cient is deduced for calculating hysteresis damping factor, which suitable for both separation and non-separation states at the end of collision. In addition, the time-varying meshing sti ness(TVMS) is obtained based on the potential energy approach and the slice theory. Finally, a dynamic analysis of a helical gear system is carried out to better understand the contact force model proposed in this paper. The analysis results show that the contribution of supporting forces to the dynamic response of contact-impact event within gear pair is important. The supporting forces and dissipative energy are the main reasons for gear system to enter a steady contact state from repeated contact-impact state. This research proposes an improved contact force model which distinguishes meshing and collision states in gear system.
文摘运用最小二乘支持向量机(Sparse least squares support vector machines,SLS-SVM)机器学习方法建立风场随机风速模型,根据随机风速模型和空气动力学理论得到随机风引起的系统外部载荷激励,建立考虑齿轮时变啮合刚度和滚动轴承时变刚度的风力发电机行星齿轮传动系统齿轮—轴承耦合动力学模型,并对动力学模型进行仿真计算,分别得到各齿轮副的动态啮合力和滚动轴承动态接触力。以此为基础,将载荷作用过程视为随机过程,推导出随机载荷作用下的等效载荷累计分布函数。根据应力—强度干涉理论建立风力发电机齿轮传动系统各齿轮和轴承的动态可靠性模型,利用二阶矩和摄动方法求出各齿轮、轴承的动态可靠性指标,并计算出动态可靠度,研究各齿轮、轴承和传动系统的动态可靠度随时间的变化规律,为风力发电机齿轮传动系统动态可靠性设计奠定了基础。
文摘针对风电齿轮传动系统在复杂随机风载下运行的特点,运用加权最小二乘支持向量机(Weight Sparse Least Squares Support Vector Machines,SLS-SVM)方法建立风场随机风速模型,进而得到随机风引起的系统外部载荷激励。建立考虑齿轮时变啮合刚度、综合啮合误差、滚动轴承变刚度的风电齿轮传动系统的平移-扭转动力学模型,求得传动系统各齿轮副的动态啮合力和各支承轴承的动态接触力及相应的应力时间历程。应用雨流计数法统计循环参量,结合Goodman公式将工作循环应力水平按等寿命原则转换为对称循环下的疲劳应力谱。基于Palmgren-Miner线性累积损伤法则和材料P-S-N(失效概率-应力-循环次数)曲线,预测风电齿轮传动系统各齿轮和轴承的疲劳寿命。为风力发电机齿轮传动系统动态疲劳寿命预测提供了理论方法。
