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Free Damped Vibrations of Rocking Rigid Blocks as Uniformly Accelerated Motions

机译:摇摆刚性块的自由阻尼振动作为均匀加速的运动

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This paper introduces a novel formulation for the free rocking motion of a rigid block supported on a rigid plane. The equation of the motion between two subsequent impacts is expressed as a uniformly accelerated motion only depending on the assigned initial velocity. The constant acceleration is derived by an ad hoc approximation in order to fit the results of the standard model of Housner [B. Seismol. Soc. Am, 53(2) (1963) 403-417], which is herein revisited and explored. An extensive comparison between the standard and the proposed models is carried out in terms of moment-rotation relationship, critical rotational velocity, normalized amplitude and duration of the half-cycles.
机译:本文介绍了一种新颖的配方,用于支撑在刚性平面上的刚性块的自由摇摆运动。 两个后续冲击之间的运动的等式表示为仅根据分配的初始速度仅均匀加速的运动。 恒定加速度由Ad Hoc近似来导出,以便符合Housner的标准模型的结果[B。 地震醇。 SOC。 AM,53(2)(1963)403-417]在此重新审视和探索。 在标准和所提出的模型之间的广泛比较是在力矩旋转关系,临界旋转速度,归一化幅度和半循环持续时间方面进行的。

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