【摘要】 建立了一种双机反向旋转驱动三质体的动力学模型，研究其在不同共振状态下的稳定性。基于Lagrange方程求得系统的运动微分方程，采用平均法得到2个激振器，实现自同步运转的条件，应用Hamilton原理得出系统同步状态下的稳定性准则，通过数值分析了系统在3种不同共振状态下的相-频特性以及稳定性。通过四阶-龙格库塔程序，给出系统在不同共振状态下的仿真分析结果。对仿真结果、理论结果和数值分析结果的比较和分析，证明所得结果的正确性和使用方法的有效性。结果表明：在工程设计中，应在共振区域II中选择系统的合理工作点，可以实现系统在垂直方向上的同步稳定相对直线运动。更多还原

【Abstract】 In this paper,a dynamic model with three rigid frames driven by two exciters with reverse rotating directions is established,and the stability of the vibrating system in different resonant states is studied. Based on the Lagrange equations,the motion differential equations of the system are obtained. The conditions of realizing self-synchronous operation for the two exciters are deduced by the average method,and the stability criterion of the system under synchronous state is obtained by Hamilton principle. It is discussed numerically that the phase-frequency characteristics and stability of the system in three different resonant states. By the fourth order Runge-Kutta routine,the simulation results of the system corresponding to different resonant states are given. According to the comparisons and analyses of simulation,theoretical and numerical analysis results,the correctness of the theoretical results and the effectiveness of the study methods are proved. It is shown that,in engineering design,the reasonable working points of the system should be selected in resonant region II,in this case,the synchronous and stable relative linear motion of the system in vertical direction can be realized.更多还原