复杂激励下复合行星传动系统频率耦合与耦合共振研究

建立了考虑时变啮合刚度、啮合间隙、啮合误差等多种非线性因素的复合行星传动系统动力学模型，研究了发动机时变转矩输入、定值转矩输入等不同外界激励与多种内部非线性激励同时作用下对复合行星传动系统频率耦合的影响。在此基础上，对外部激励、内部激励以及内外部耦合激励引起的低频、高频以及低高频耦合产生的系统扭转共振问题进行了分析。结果表明：在定值转矩驱动时，齿轮啮合力与主轴剪切力的主要频率成分都为啮频及其倍频；在时变转矩驱动时，齿轮啮合力在各转速下的主要频率成分都为啮合相关频率，而主轴剪切力的主要频率成分随转速提高逐渐由啮合相关频率转变为发动机各谐次频率；系统共振转速带中，由啮合频率及其耦合频率引起的共振转速主要集中于中低速工况，而发动机激励引起的共振转速主要集中于中高速。
Abstract：A dynamic model of compound planetary drive system was built and multiple nonlinear factors such as time variable meshing stiffness, meshing clearance and meshing error were considered. Influence to the frequency coupling of compound planetary drive system caused by different internal non-linear incentives and external incentives such as time-change torque input, constant value torque input was analyzed. Harmonic balance method was adopted，the coupling resonance of the drive system was analyzed which consider low frequency, high frequency and its coupling caused by internal, external and its coupling incentives. The results show that, when the driving torque is constant, the main frequency component of both meshing force of the gear and shear force of the shaft are meshing frequency and multi-frequency; when the driving torque is time-variable, meshing related frequency of the meshing force is the main frequency component under all the rotate speed, and the main frequency component change from meshing related frequency to main order frequencies of the engine; in the system resonance speed belt, caused by tooth frequency resonance and it’s coupling frequency resonance speed are mainly concentrated in middle-low speed condition, the incentive of resonance caused by engine speed mainly focused on high speed.