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首页> 外文期刊>Multibody system dynamics >Rocking dynamics of a planar rectangular block on a rigid surface
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Rocking dynamics of a planar rectangular block on a rigid surface

机译：刚性表面上平面矩形块的摇摆动力学

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摘要

The motion of a rigid rectangular block rocking on a rigid surface involves several motion modes, including rotation around the base corner of the block, point or surface impacts between the block and the surface, and possible uplift following an impact event. With the exception of the surface impact, all other motion states can be easily simulated using the conventional classical mechanics theory. However, the surface impact is closely related to the rapid evolution of the stress field caused by the relative motion of the contact interface, making the associated dynamics relatively complex. Here, we report a novel model of the surface impact that is established by carefully considering the effects from the interface separation and the stick-slip transition of the Coulomb's friction. This model provides a set of first-order differential equations with respect to the stress impulse, for which numerical methods can be used to obtain the output of the surface impact. In particular, the model can avoid the use of small variables, such as the time of impact and the length of local deformation, thus it is highly beneficial for numerical calculations. We validate this model using the experimental data reported in the existing literature, and then numerically investigate how the material properties of the contact interface affect the rocking motion.
机译：刚性表面上摇动的刚性矩形块的运动涉及多种运动模式，包括围绕块的底角旋转，块和表面之间的底部或表面冲击，以及在冲击事件之后可能的隆起。除了表面影响外，可以使用传统的经典技工理论容易地模拟所有其他运动状态。然而，表面冲击与由接触界面的相对运动引起的应力场的快速演变密切相关，使得相关的动态相对复杂。在这里，我们报告了通过仔细考虑界面分离和库仑摩擦的粘滑过渡的影响而建立的表面影响的新模型。该模型提供了一组关于应力脉冲的一组一阶微分方程，其中可以使用数值方法来获得表面影响的输出。特别是，该模型可以避免使用小变量，例如冲击时间和局部变形的长度，因此对于数值计算是非常有益的。我们使用现有文献中报告的实验数据验证该模型，然后在数值上调查接触界面的材料特性如何影响摇摆运动。

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