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首页> 外文期刊>Earthquake Engineering & Structural Dynamics >A simple procedure to approximate slip displacement of freestanding rigid body subjected to earthquake motions
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A simple procedure to approximate slip displacement of freestanding rigid body subjected to earthquake motions

机译：一种简单的近似独立的刚体在地震作用下的滑移位移的程序

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摘要

A simple calculation procedure for estimating absolute maximum slip displacement of a freestanding rigid body placed on the ground or floor of linearonlinear multi-storey building during an earthquake is developed. The proposed procedure uses the displacement induced by the horizontal sinusoidal acceleration to approximate the absolute maximum slip displacement, i.e. the basic slip displacement. The amplitude of this horizontal sinusoidal acceleration is identical to either the peak horizontal ground acceleration or peak horizontal floor response acceleration. Its period meets the predominant period of the horizontal acceleration employed. The effects of vertical acceleration are considered to reduce the friction force monotonously. The root mean square value of the vertical acceleration at the peak horizontal acceleration is used. A mathematical solution of the basic slip displacement is presented. Employing over one hundred accelerograms, the absolute maximum slip displacements are computed and compared with the corresponding basic slip displacements. Their discrepancies are modelled by the logarithmic normal distribution regardless of the analytical conditions. The modification factor to the basic slip displacement is quantified based on the probability of the non-exceedence of a certain threshold. Therefore, the product of the modification factor and the basic slip displacement gives the design slip displacement of the body as the maximum expected value. Since the place of the body and linearonlinear state of building make the modification factor slightly vary, ensuring it to suit the problem is essential to secure prediction accuracy.
机译：开发了一种简单的计算程序，用于估算地震期间放置在线性/非线性多层建筑物的地面或地板上的独立刚体的绝对最大滑移位移。所提出的程序使用由水平正弦加速度引起的位移来近似绝对最大滑移位移，即基本滑移位移。该水平正弦加速度的幅度等于峰值水平地面加速度或峰值水平地面响应加速度。其周期与所采用的水平加速度的主要周期相符。垂直加速度的影响被认为可以单调减小摩擦力。使用在水平加速度峰值处的垂直加速度的均方根值。给出了基本滑移位移的数学解。利用一百多个加速度图，计算绝对最大滑移位移，并将其与相应的基本滑移位移进行比较。无论分析条件如何，均采用对数正态分布对它们的差异进行建模。基于不超过某个阈值的概率来量化对基本滑动位移的修正因子。因此，修正系数与基本滑移位移的乘积将车体的设计滑移位移作为最大期望值。由于主体的位置和建筑物的线性/非线性状态使修改因子略有不同，因此确保适合该问题对于确保预测精度至关重要。

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