Analysis of Tangential Nonlinear Vibration on Machine Hydrostatic Slide

Abstract

In this paper, the nonlinear dynamic responses of the hydrostatic slide were investigated and the effects of damping and external force to control the vibration system were discussed. The dynamic model of the system was established, and the tangential vibration equation taking into account nonlinear factors was derived. The heteroclinic orbit parameter equations of the vibration system were solved, and the Melnikov function of vibration system is derived. And the chaos condition and judging criterion of the vibration system were obtained by Melnikov’s method. The vibration equation of the hydrostatic slide was solved using the numerical method. The bifurcation diagram, phase diagram, wave diagram of displacement, and Poincaré map were obtained, and the nonlinear dynamic responses were analyzed. Finally validation experiments were conducted, and the results agree well with the results obtained by the Melnikov method and numerical method.

Influence of Shape and Size of Foundation on Vibration Reduction of High-Speed Punching Press Based on Multidomain Modeling

“…Xia et al [8] established a finite element model of a high-precision equipment adopting vibration isolation; with the aid of the finite element software ANSYS, the vibration attenuation curve was obtained based on the least square regression analysis, and the results turned out that better vibration isolation effect can be obtained by the reasonable selection of the location, depth, and length of the vibration isolation ditch. Zhang et al [9] explored tangential dynamic behaviors of the machine hydrostatic slide with a magnetorheological (MR) fluid damper and discussed the effect of the MR damper to control the vibration of the hydrostatic slide, the result turned out that the dynamic response of the machine hydrostatic slide with the MR damper is discussed, and it is verified that the MR damper can suppress the tangential vibration of the hydrostatic slide effectively and the constant controller can control the chaotic behavior of the system well. Zeng et al [10] investigated vibration behaviors of two kinds of lowvibration track (LVT) systems for heavy-haul railway, two indoor full-scale low-vibration track models were constructed according to design drawings, the frequency-domain distribution was analyzed, the vibration reduction performance was evaluated, and the results show the new LVT has lower vibration acceleration, shorter duration of vibration period, lower vibration frequency of track components, and most importantly an obvious vibration reduction effect on the ground.…”