CAJ | 학술논문

考虑齿侧间隙、时变啮合刚度和摩擦力等因素，建立7自由度剪式齿轮传动系统非线性动力学模型，采用Runge-Kutta 法对转速、啮合齿隙、扭簧刚度、预紧力矩等对系统振动特性的影响进行了研究。结果表明，随着转速的升高系统逐渐进入混沌状态，中等转速区间系统的非线性动力学行为对转速的变化更为敏感；随着齿侧间隙的增大，混沌区间增大，混沌特性加强；扭簧刚度影响系统的非线性运动状态，但对冲击现象的影响较小，较小的扭簧刚度更有利于消除冲击现象；扭簧的预紧力矩影响系统啮合状态，最小预紧力矩的大小受负载力矩的影响且近似呈正比例关系。
고필치측간극、시변교합강도화마찰력등인소，건립7자유도전식치륜전동계통비선성동역학모형，채용Runge-Kutta 법대전속、교합치극、뉴황강도、예긴력구등대계통진동특성적영향진행료연구。결과표명，수착전속적승고계통축점진입혼돈상태，중등전속구간계통적비선성동역학행위대전속적변화경위민감；수착치측간극적증대，혼돈구간증대，혼돈특성가강；뉴황강도영향계통적비선성운동상태，단대충격현상적영향교소，교소적뉴황강도경유리우소제충격현상；뉴황적예긴력구영향계통교합상태，최소예긴력구적대소수부재력구적영향차근사정정비례관계。
Considering backlash of gear pairs,time-varying mesh stiffness and friction,a nonlinear dynamic model of a scissor gear transmission system with 7-DOF was established with the analytical mechanics theory.An example of such a system was used to investigate the effects of rotational speed,backlash,stiffness and preload of torsional spring on the nonlinear dynamic behavior of the system with Runge-Kutta method.The results showed that the system enters a chaotic state with increase in rotating speed,the nonlinear dynamic behavior of the system in the medium rotating speed range is more sensitive to the change of rotating speed;the larger the backlash,the bigger the rotating speed interval of chaos,the stronger the chaotic characteristics;the torsional stiffness of spring has an effect on the non-linear dynamic behavior of the system,but it has a smaller effect on the impact phenomenon,the smaller torsional stiffness is more helpful to avoiding separating and impacting states of the gear pair;preload of torsional spring affects meshing states of the system,the minimum preload torque is almost proportional to the effect of the load torque.