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中文摘要：
针对键合图难于表达的考虑间隙与摩擦时的齿轮传动系统非线性动力学问题,根据齿面摩擦、时变刚度以及齿侧间隙等非线性因素的特点,用调制阻性元件表示齿面摩擦,并用两个调制转换器分别表示主、从动轮的摩擦力臂,考虑齿侧间隙为具有分段特性的非线性函数,将轮齿沿啮合线方向的变形分为三个状态,以齿侧间隙为信号,引入功率结型结构描述考虑齿侧间隙时的时变刚度,用流源Sf表示齿轮传递误差的导数,运用键合图建模理论建立含间隙和摩擦的齿轮键合图模型,以一对齿轮传动参数为例,运用键合图专用仿真软件20-sim对含间隙与摩擦的齿轮传动动力学键合图模型进行仿真求解,同时用Matlab软件对采用牛顿法建立的齿轮传动动力学方程进行对比仿真,结果表明该方法正确可行。
英文摘要：
Aiming at the problem of nonlinear dynamics of gear transmission system with clearance and friction,a bond graph model of the gear transmission system with clearance and friction is build based on the nonlinear features of tooth surface friction,time-varying gear mesh stiffness and gear clearance,in which modulated resistive element is used to describe the parameters of tooth surface friction characteristics and two modulated transformers are uded to present driving friction arm and driven friction arm respectively.Accordingly,the deformation of gear along the meshing line is divided into three statuses as gear clearance is the nonlinear function of piecewise-linear,thus the concept of switched power junctions is introduced to describe time-varying gear mesh stiffness with clearance that uses clearance as the signal,and flow source element（Sf） to represent the influences of the gear transmission error on the system.A spur gear pair is taken as an example,advanced software 20-sim is used to simulate the model.The results are compared with those from Matlab to check the bond graph model and verity its credibility.
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