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Criteria for initiation of motion of rigid bodies to base excitation

机译:刚体开始向基础激发运动的准则

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摘要

It is known that when an unanchored rigid body is placed on a horizontal base which oscillates horizontally, it may undergo one of four modes of motion: rest, slide, slide-rock and rock. Initiation of a rigid body into these modes depends on the slenderness ratio of the body, the coefficient of friction between the body and the base and the acceleration of the base. In this study, the coefficient of friction and the base acceleration are considered random. For specific probability distributions of the coefficient of friction and the peak base acceleration, and for various values of the mean and standard deviation of the two random variables, the probabilities of occurrence of these modes of motion are obtained for a body of given slenderness ratio. It is shown that randomness of the coefficient of friction and base peak acceleration should not be ignored.
机译:众所周知,当将未锚定的刚体放置在水平振动的水平基座上时,它可能会经历四种运动模式之一:静止,滑动,滑动岩石和岩石。刚体进入这些模式的过程取决于本体的细长比,本体与基座之间的摩擦系数以及基座的加速度。在这项研究中,摩擦系数和基本加速度被认为是随机的。对于摩擦系数和峰值基加速度的特定概率分布,以及对于两个随机变量的均值和标准偏差的各种值,对于给定的细长比的物体,将获得出现这些运动方式的概率。结果表明,不应忽略摩擦系数和基峰加速度的随机性。

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