A three-degree-of-freedom mathematical vibration model of a high-speed punching press was developed in order to explore the vibration modes of the punching press. A multidomain model of the punching press was established to predict the kinematic state during different conditions, as well as the effects of load fluctuation on the motor speed. Experimental measurements of the acceleration of the punching press were carried out. The results comparison reveals that the multidomain model is consistent with the vibration model and the experimental measurements. Modal analysis and structure modification of the punching press were conducted. The foundation at the base of the punching press was improved against excess of vibration. The effects of the dimensions of the foundation on the vibration were discussed with the aid of the multidomain model. Finally, proper foundation design, able to reduce the vibration, was obtained.

The multi-domain modeling and simulation of the precision high-speed punching press was carried out using the software SimulationX in this article. The key technical problems of the multi-domain modeling, such as the establishment of the subsystems of mechanics with accurate structures and dimensions, improvement of modeling accuracy and simulation efficiency by dividing and dealing with components in group and import of the displacement-depended stamping forces on the stamping dies, have been resolved to establish the integral multi-domain model, which contains subsystems of mechanics, hydraulic and servo driven of the complete punching press. Vibration quantity of the punching press was predicted through simulation, and validity of the multi-domain model was confirmed by experimental measurement. The vibration reduction in the punching press based on the topology optimization of the slider and design of rotational speed variation curve of the servo motor were investigated. The results show that through topology optimization, the mass of the slider could be decreased under the premise of guaranteeing the structural strength, by which the vibration quantity of the punching press can be decreased; rotational speed of the servo motor could be decreased during the stamping period by designing the rotational speed variation curve, which leads to a decrease in acceleration and vibration of the slider during that period, with which the forming precision can be guaranteed.

With the aid of multidomain modeling method, the vibration of a high-speed punching press was modeled and predicted, and the influence of the installation of foundation, as well as the shape and size parameters of the foundation on the vibration of the punching press, is discussed. The rectangular foundation size with the best effect of vibration reduction under the premise of saving the installation area was obtained. The validity of the multidomain model of the high-speed punching press with the foundation for vibration reduction is verified, by comparing the simulation results with the experimental results.