Instantaneous earthquake input energy and sensitivity in base‐isolated building
Instantaneous earthquake input energy and sensitivity in base‐isolated building
复制标题
DOI：
10.1002/tal.539
复制
发表时间：
2011-10
期刊：
影响因子：
--
通讯作者：
Kaoru Yamamoto;K. Fujita;I. Takewaki
中科院分区：
文献类型：
--
作者：
Kaoru Yamamoto;K. Fujita;I. Takewaki
在频域中考虑了基础隔震（BI）建筑在地震时的输入能量和能量输入率，并给出了公式。频域法计算输入能量和能量输入率与传统的时域法相比具有不同的显著优势。通过对输入分量（加速度的平方傅立叶振幅谱）和结构模型分量（所谓的能量传递函数）之间的乘积进行频率积分，可以证明输入能量可以是一种紧凑的形式。此外，能量输入率也可以通过瞬时功率谱和能量传递函数之间的乘积的频率积分而具有类似的形式。借助于这种紧凑形式，可以看出频域中的公式对于导出BI层中输入能量和能量输入率相对于不确定刚度和阻尼系数的任意阶闭合形式灵敏度是必不可少的。闭合形式的灵敏度表达式为我们提供了导致最大输入能量和输入速率的不确定参数的最不利变化的信息。版权所有© 2009约翰威利父子有限公司。
The input energy and energy input rate to a base‐isolated (BI) building during an earthquake are considered and formulated in the frequency domain. The frequency‐domain approach for computation of input energy and energy input rate has different remarkable advantages compared with the conventional time‐domain approach. It is demonstrated that the input energy can be of a compact form via the frequency integration of the product between the input component (squared Fourier amplitude spectrum of acceleration) and the structural model component (so‐called energy transfer function). Furthermore, the energy input rate can also be of a similar form via the frequency integration of the product between the instantaneous power spectrum and the energy transfer function. With the help of this compact form, it is shown that the formulation in the frequency domain is essential for deriving arbitrary‐order closed‐form sensitivities of the input energy and energy input rate with respect to uncertain stiffness and damping coefficients in the BI storey. The closed‐form sensitivity expressions provide us with information on the most unfavourable variation of the uncertain parameters that leads to the maximum input energy and input rate. Copyright © 2009 John Wiley & Sons, Ltd.