融合联立约束法和Simulink的高速压力机曲轴动态仿真

Dynamical simulation of high-speed press crankshaft with joint constraint method and Simulink

针对高速曲柄压力机中对称布置式曲柄滑块机构,提出了一种融合联立约束法和MATLAB/Simulink的机构动态仿真分析方法。该方法首先基于机构位移闭环矢量方程,建立速度方程及加速度方程,采用达朗贝尔原理建立机构的动力学方程,并通过加速度实现运动方程与动力学方程的联立。在此基础上利用MATLAB/Simulink软件建立了机构的动态仿真模型,将动力学方程作为Function模块嵌入到仿真模型中。并在冲压力作用下对高速压力机的工作过程进行了仿真分析,快速、准确地求得了一个运动周期内压力机曲轴各个轴颈处载荷大小和方向的变化规律,验证了高速压力机的平衡机构具有良好的动平衡效果。所得分析结果为高速压力机曲轴、曲轴支撑结构和动平衡结构的设计和优化提供了重要的参考依据。

Aiming at symmetrical crank slider mechanism of high-speed press,a dynamic simulation analysis method combining joint constraint method with MATLAB/Simulink was proposed. First,a velocity equation and an acceleration equation were established based on the closed loop vector equation of displacement. Then,the dynamic equations of mechanism were established by D＇ Alembert principle,and the kinematic equations and dynamic equations were combined by acceleration. Furthermore,the dynamic simulation model of mechanism was established by MATLAB/Simulink on this basis,and the dynamic equations were embedded in the simulation model as Function module. Thus,the simulation analysis of stamping process for high-speed press was carried out under the stamping force,and the load and direction variations of each press crankshaft journal in a movement cycle was obtained quickly and accurately. Thus,the good dynamic balance effect of balancer for high-speed press was verified. The results provide important reference for designing and optimizing the highspeed press crankshaft,support structure and dynamic balanced structure.