阵型分解法的理解和应用

Understanding and Application of Model Analysis Method

建筑结构设计中,常涉及结构在动荷载下的响应分析,尤其是地震动下的响应,常用的分析方法有时程法和反应谱法。前者是对若干地震波的动力求解,更能激发出高阶响应,但缺点是计算结果受所选地震波的影响,具有一定的偶然性,且比较耗时。后者是一种以静力分析代替动力分析的简化方法,具有统计意义,且耗时很少,缺点是并非模拟真实的地震波,往往无法激发出高阶响应,且仅能进行线弹性分析。两种分析方法各有优势,互为补充。时程法又分为直接积分法和阵型分解法两种,反应谱法则必然用到阵型分解。本文就常提到的阵型分解法进行过程推导、描述,供工程师参考、理解和应用。

The response analysis of structures under dynamic load,especially under ground motion,is often involved in the design of building structures.The commonly used analysis methods are time history method and response spectrum method.The former is the dynamic solution of several seismic waves,which can stimulate higher-order response,but the disadvantage is that the calculation results are affected by the selected seismic waves,which is accidental and time-consuming.The latter is a simplified method that uses static analysis instead of dynamic analysis,it is statistically significant and less time-consuming.The disadvantage is that it does not simulate the real seismic wave,and it is often unable to excite the high-order response,and can only conduct linear elastic analysis.The two methods have their own advantages and complement each other.The time history method can be divided into direct integration method and model analysis method.The response spectrum method must use formation decomposition.This paper describes the process derivation of the commonly mentioned array decomposition method for engineers'reference,understanding and application.