Research On Dynamics Of Three Types Of Vibro-impact In The Mechanical System

With the continuous progress of industrial technology, human urgently needs a large number of new,high efficiency, high precision and automatic vibro-impact machinery.Due to mechanical speed increases, the mechanical vibro-impact and balance issue has become one of the key problems of some mechanical design. In terms of design of the vibro-impact mechanical system, the research of dynamics optimization design, improving work efficiency and lowing noise, etc has great practical significance.In view of the engineering practice of the vibro-impact forming machine as the background in this paper, from which abstractly simplifying three different Dynamic models.First analytic method is used respectively in the process of deducing The dimensionless motion differential equation and the conditions meeting periodic motion.and then selecting the instantaneous moment of impact as the intercepting time of Poincare Section, and deducing a Poincare map and brief Jacobian matrix inferring to every fixed point of the periodic motion. The final numerical simulating using the MATLAB software in its dynamic characteristics of the vibro-impact forming machine,results including three dimensional phase space diagram, Poincare map drawing, phase plane projection of Poincare map. Finding the system parameters of periodic motion and chaos vibration in the process of the simulation. The simulation results show that the change of the dimensionless excitation frequency, one of the many dynamic parameters of the system, will strongly effect the running state, which tiny change can cause the vibro-impact system a transformation from periodic motion to chaotic vibration.So, selecting the appropriate parameters of the system can make the vibro-impact forming machine in a wider range of steady periodic motion,avoiding it working in the state of random and chaotic vibration. the simulation parameter values for the corresponding mechanical model can provide data reference to the control and dynamic optimization design of the vibro-impact forming machine system.The largest innovation of this paper lies in three-dimensional Poincare map simulation of the system, the simulation diagram of many related references are two-dimensional projected Poincare map.The general case, projection can cover and reflects all the information of the stereogram. In a series of the three-dimensional simulation diagrams of this paper,discovering some special Poincare map diagrams, which feature only appears in three dimensional space.Because the internal structure of them is on a plane of symmetry, which Paralleled phase plane.In this paper the simulations of Poincare map find three groups of internal structure,which is symmetric on the phase angle??0. When the excitation frequency changes, the part of??0does not exist, the remaining part of??0 only reserved. In the simulation, also finding a set of internal structures of the Poincare map diagrams are symmetric on a plane of phaseangle ??0. When dimensionless vibration frequency continuously increase, the distance between them decreases, at the same time, their morphological structure has changed.