Author : P. Manoj Reddy 1
Date of Publication :16th May 2017
Abstract: There are two basic approaches to numerically evaluate the dynamic response of the structures. The first approach is numerical interpolation of the excitation and the second is numerical integration of the equation of motion. In the present study, the second approach (Newmark’s method) is used to find the response of a set of 40 structures idealised as SDOF system. The 40 structures are chosen in such a way that their time period varies from 0.1 to 4 sec. The response of all 40 structures is evaluated for 8 past Indian earthquakes. A program is developed in MATLAB to find the peak response of each structure for each earthquake using Newmark’s method. Average peak response of each structure under eight earthquakes is calculated. A response spectrum is developed as average peak response versus time period of 40 structures. As a second part of the work, the response of 40 structures is evaluated as per response spectra given in IS1893: 2002 based on time period of the structure. A comparative study is made between Newmark’s response and the response as per IS1893 response spectra. The study reveals that the responses calculated using IS1893 response spectra and Newmarks method are not similar for all the earthquakes
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