基于速度协调法的齿轮碰撞动力学分析

发布时间：2018-02-19 23:55

本文关键词： 非线性振动碰撞齿轮系统速度协调法数值计算　出处：《振动工程学报》2017年03期 　论文类型：期刊论文

【摘要】：建立了基于速度协调法的齿轮副碰撞动力学模型,提出了针对该模型的"碰撞"数值算法,讨论了系统在不同参数激励下的动力学特性。采用经典龙格库塔法进行了Adams/Matlab联合仿真,证明了该算法的精确性和有效性,并利用该算法计算系统周期解对应的离散状态转移矩阵,进而求得了Floquet乘子,并借此判断了系统周期解的稳定性。研究结果表明:在相同速度波动量的条件下,齿轮系统动态误差、相对速度和加速度与主动轮的转速成正比;系统输入转速决定了系统周期解的稳定性,在不同转速下系统出现不同周期的运动,甚至出现混沌;拖力矩的出现打破了系统运动的对称性,使得系统由双边碰撞转变为单边碰撞,从而在某种程度上降低了系统的振动和噪声;另外,系统周期解的稳定性对拖力矩非常敏感,在拖力矩较小时,系统不受速度波动量和拖力矩波动量的影响,始终处于不稳定状态。
[Abstract]:The collision dynamics model of gear pair based on velocity coordination method is established, and the "collision" numerical algorithm for this model is proposed. The dynamic characteristics of the system under different excitation parameters are discussed. The classical Runge-Kutta method is used to carry out the Adams/Matlab joint simulation, and the accuracy and validity of the algorithm are proved. The discrete state transition matrix corresponding to the periodic solution of the system is calculated by using this algorithm, and then the Floquet multiplier is obtained, and the stability of the periodic solution of the system is judged. The results show that the stability of the periodic solution is obtained under the condition of the same velocity fluctuation. The dynamic error of gear system, relative velocity and acceleration are proportional to the speed of the drive wheel, the system input speed determines the stability of the periodic solution of the system, and under different rotational speeds, the motion of the system appears in different periods, and even chaos occurs. The appearance of towing torque breaks the symmetry of system motion, and changes the system from bilateral collision to unilateral collision, thus reducing the vibration and noise of the system to some extent, in addition, the stability of the periodic solution of the system is very sensitive to the towing moment. When the towing torque is small, the system is always in an unstable state without the influence of velocity fluctuation and towing torque fluctuation.
【作者单位】：盐城工学院汽车工程学院;上海交通大学振动冲击噪声国家重点实验室;杭州前进齿轮箱集团股份有限公司;
【基金】：国家自然科学基金资助项目(51305378) 江苏省汽车工程重点实验室开放基金资助项目(QC201306) 中国博士后科学基金资助项目(2016M590643) 江苏省科技厅产学研联合创新资金资助项目(BY2015057-25)
【分类号】：O322;TH132.41

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