In this paper, a novel dynamic model of coupling translation joints with subsidence for time-varying load in a planar mechanical system is established. One translational joint has four working scenarios, which are free motion, one corner rub-impact, two adjacent corners rub-impact and two opposite corners rub-impact. However, the rub-impact of double coupling translation joints are not a simple superposition of these scenarios, but rather a more complex rub-impact configuration that should be considered in this model. An adaptive fourth-order Runge–Kutta method is utilized to solve the dynamic differential equations. After that, we discuss the dynamic behavior of the rub-impact coupling by taking a triplex member of the crosshead slider, piston rod and piston slider as an example in the reciprocating compressor system. The results show that the double coupling translation joints experience free motion, continuous contact motion and rub-impact motion. The difference is that, in the rub-impact motion, for the crosshead slider there only appears one single corner and two adjacent corners impacting the guide, while the coupling piston slider experiences multiple rub-impact situations including one single corner, two adjacent corners and two opposite corners impacting the guide. Moreover, the results reveal that the subsidence has a significant influence on the rub-impact behavior of the coupling translation joints, and the greater the subsidence, the more severe the vibration response of the slider impacting the guide. Finally, in this rub-impact coupling system, the existence of chaotic behavior is confirmed by the Poincaré section and the largest Lyapunov exponent approaches.

中文翻译：

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平面机械系统中时变载荷作用下带沉降的双平移接头的碰摩动力学耦合

建立了平面机械系统中时变载荷下带有沉降的平移接头耦合动力学模型。一个平移关节有四个工作场景，分别是自由运动，一个角部碰撞，两个相邻角部碰撞和两个相对的角部碰撞。但是，双耦合平移接头的摩擦影响不是这些情况的简单叠加，而是在此模型中应考虑的更复杂的摩擦影响配置。自适应四阶Runge-Kutta方法用于求解动态微分方程。之后，我们以十字头滑块，活塞杆和活塞滑块的三重构件为例，在往复式压缩机系统中讨论了摩擦－冲击耦合的动力学行为。结果表明，双耦合平移接头经历自由运动，连续接触运动和摩擦冲击运动。区别在于，在摩擦冲击运动中，十字头滑块仅出现一个角和两个相邻的角冲击导向装置，而联轴器活塞滑块则经历多种摩擦情况，包括一个角，两个相邻角和一个角。两个相对的角影响了导向装置。此外，结果表明，沉降对耦合平移接头的摩擦影响有很大影响，沉降越大，滑块对导向装置的振动响应越严重。最后，在这种摩擦耦合系统中，