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首页> 外文期刊>Bulletin of earthquake engineering >Response spectrum analysis for non-classically damped linear system with multiple-support excitations
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Response spectrum analysis for non-classically damped linear system with multiple-support excitations

机译：具有多点激励的非经典阻尼线性系统的响应谱分析

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摘要

A new response spectrum method, which is named complex multiple-support response spectrum (CMSRS) method in this article, is developed for seismic analysis of non-classically damped linear system subjected to spatially varying multiple-supported ground motion. The CMSRS method is based on fundamental principles of random vibration theory and properly accounts for the effect of correlation between the support motions as well as between the modal displacement and velocity responses of structure, and provides an reasonable and acceptable estimate of the peak response in term of peak seismic ground motions and response spectra at the support points and the coherency function. Meanwhile, three new cross-correlation coefficients or cross covariance especially for the non-classically damped linear structures with multiple-supports excitations are derived under the same assumptions of the MSRS method of classically damped system. The CMSRS method is examined and compared to the results of time history analyses in two numerical examples of non-classically damped structures in consideration of the coherences of spatially variable ground motion. The results show that for non-classically damped structure, the cross terms representing the cross covariance between the pseudo-static and dynamic component are also quite small just as same as classically damped system. In addition, it is found that the usual way of neglecting all the off-diagonal elements in transformed damping matrix in modal coordinates in order to make the concerned non-classically damped structure to become remaining proportional damping property will bring some errors in the case of subjected to spatially excited inhomogeneous ground motion.
机译：提出了一种新的响应谱方法，即在空间变化的多支撑地震动作用下非经典阻尼线性系统的地震分析中，本文将其称为复杂多支撑响应谱（CMSRS）方法。 CMSRS方法基于随机振动理论的基本原理，并适当考虑了支撑运动之间以及模态位移与结构速度响应之间的相关性影响，并提供了合理且可接受的峰值响应估算。支点处的峰值地震地面运动和响应谱以及相干函数的关系。同时，在经典阻尼系统的MSRS方法相同的假设下，得出了三个新的互相关系数或互协方差，特别是对于具有多支撑激励的非经典阻尼线性结构。考虑到空间可变地面运动的连贯性，在非经典阻尼结构的两个数值示例中检查了CMSRS方法并将其与时程分析结果进行比较。结果表明，对于非经典阻尼结构，与经典阻尼系统相同，表示伪静态分量和动态分量之间的交叉协方差的交叉项也很小。此外，发现在模态坐标中忽略变换阻尼矩阵中所有非对角线元素的常用方法，以使所关注的非经典阻尼结构保持比例阻尼特性，这会带来一些误差。受到空间激发的不均匀地面运动。

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