地震多点输入模型中影响矩阵R的意义与注记

英文篇名：Mathematical and Physical Meaning of Influence Matrix R in Calculation Model for Multiple-Input Structural Analysis
中文刊名：振动.测试与诊断
英文刊名：Journal of Vibration ; Measurement & Diagnosis
作者：柳国环 ; 练继建 ; 国巍 ; 耿辰
英文作者：Liu Guohuan ; Lian Jijian ; Guo Wei ; Geng Chen ; State Key Laboratory Hydraulic Engineering Simulation and Safety ; Tianjin University ; School of Civil Engineering ; Tianjin University ; School of Civil Engineering ; Central South University ; School of Civil Engineering ; Tianjin Chengjian University
中文关键词：多点输入 ; 差动输入 ; 影响矩阵 ; 拟静力反应
英文关键词：multi-support input ; spatially-motions input ; influence matrix ; pseudo-static response
出版日期：2014-12-01
机构：天津大学水利工程仿真与安全国家重点实验室;天津大学建筑工程学院;中南大学土木工程学院;天津城建大学土木工程学院;
年：2014
期：06
出版单位：振动.测试与诊断

摘要

在多点地震输入(差动输入)计算模型中,时域或频域分析均会涉及到一个重要参数,即影响矩阵R=-K-1ttKts。定性揭示了R的数学和物理意义,定量论证R的固有特征,并给予图解说明和算例论证,证明由R计算得到的拟静力响应在数学意义层面独立于结构的动力反应,而在物理意义层面二者并非相互独立而存在。
The influence matrix R=-K_(tt)~(-1)K_(ts) is an important parameter in calculation models,including the models for time or frequency-domain analysis,and for multiple-input structural analysis.In this paper,the mathematical and physical meaning of parameter R are discussed,and its natural characteristics are given and demonstrated through a numerical example.It is shown that the pseudo-static response obtained from R is independent from the dynamic response in mathematical meaning,but not in physical meaning.

引文

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