Abstract

In this work, based on the nine kinds of rub-impact scenarios of one single translational joint, we discuss 42 kinds of coupling rub-impact scenarios of double translational joints with subsidence for a triplex member including crosshead slider, piston rod, and piston slider. The two sliders are connected by a flexible piston rod. The flexible piston rod alternates between a straight rod and a S-curve rod in the rub-impact. A novel dynamic model of coupling rub-impact system with subsidence is established considering complex rub-impact scenarios and the flexibility of the piston rod. The dynamic equations are solved by the fourth-order Runge–Kutta approach. The numerical simulation results show that the subsidence has a significant effect on the rub-impact scenarios of the double translational joints, and the larger the subsidence is, the more intense the rub-impact. Moreover, the stability of coupling rub-impact system with double translational joints is investigated. The chaotic phenomenon of the coupling rub-impact system can be observed in the phase space trajectory. The existence of chaotic behavior is further confirmed by the Poincaré section method.

中文翻译：

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考虑活塞杆挠性的带沉降的双平移接头摩擦耦合的非线性动力学

摘要

在这项工作中，基于单个平移接头的9种摩擦影响方案，我们讨论了带有十字头滑块，活塞杆和活塞滑块的三重构件下沉的双平移接头的42种耦合摩擦影响方案。 。这两个滑块通过挠性活塞杆连接。柔性活塞杆在摩擦冲击中在直杆和S形杆之间交替。考虑复杂的碰摩情况和活塞杆的柔韧性，建立了具有沉陷的碰摩系统的动力学模型。动力学方程通过四阶Runge-Kutta方法求解。数值模拟结果表明，沉陷对双平移接头的碰摩情况有显着影响，沉陷越大，摩擦影响越强烈。此外，还研究了具有双平移接头的摩擦碰碰耦合系统的稳定性。可以在相空间轨迹中观察到耦合摩擦系统的混沌现象。庞加莱截面法进一步证实了混沌行为的存在。