Novel Approach for Solving Dynamic Response of Material Nonlinear System

There are two contents in this paper:(1)Combining the merits of analytic method and numerical method,this paper proposed a novel approach for dynamic analysis of material non linear systems with the related form ulae derived.The proposed approach uses the piecewise Lagrange interpolating polynomial and the Duhamel integral for solution of dynamic response of nonl inear system.When a dynamic load is e xpressed as a piecewise polynomial,the Duhamel integral can be analytically solved in every branch of the constitutive relationship.Additionally,by employing the continuity of displacement and v elocity on the transitional point of the stiffness,an exact solution of n onlinear dynamic response can be given on the whole of the time domain.Because it is based on analytic solution,the prop osed method not only offers much higher ac curacy and requires less computatio nal effort than the traditional step-by-step integration solution technique,but also thoroughly avoids the problem s of convergence and stability encou ntered in many numerical procedures.(2)The seismic strengthening scheme of a single-story industrial building by adding lateral bracings was proposed,and the proposed computational approach was appl ied to the evaluation of the strength ened single-story industrial building.