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On the Motion of a Rigid Body with an Internal Moving Point Mass on a Horizontal Plane

机译:在水平面上具有内部移动点质量的刚体的运动

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We consider motions of a body carrying movable internal mass. The internal mass is a particle moving in a circle inside the body, which performs a rectilinear motion on a horizontal plane. We suppose that viscous and dry friction acts between the plane and the body. We also assume that the body moves without jumps on the plane. Our study has shown that depending on values of parameters the body moves either periodically stoping and resting for certain time intervals or it approaches a periodic mode of motion without quiescence intervals. The above conclusions are in good correspondence with results obtained in our previous papers, where the above problem has been studied under assumption that the viscous friction is absent.
机译:我们考虑携带可移动内部质量的机身的动作。内部质量是在主体内部移动的颗粒,其在水平平面上执行直线运动。我们假设粘性和干燥的摩擦在飞机和身体之间作用。我们还假设身体在飞机上没有跳跃。我们的研究表明,根据参数的值,身体在周期性地停止和休息一定的时间间隔或其接近没有静态间隔的周期性运动模式。上述结论与我们之前的论文中获得的结果有良好的对应关系,其中在假设粘性摩擦不存在时研究了上述问题。

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