In this paper, an explicit time integration method to determine the linear response of arbitrary structures subjected to dynamic loading is proposed. The total time of dynamic loading is divided into several time steps. For each two time steps, in modeling the acceleration over time domain, a second order polynomial with three unknown parameters is assumed. Validity and effectiveness of the proposed method is demonstrated through two examples where the results of this method are compared with those numerical methods. In this method, over two steps, six unknown responses (three responses for each time step) consisting of two displacements, two velocities and two accelerations are computed. This property reduces the computational cost of the proposed method as compared to Central difference, Houbolt, Newmark (linear and average), Wilson etc. Furthermore, accuracy of the results obtained from the proposed method is better than other methods for single and multi-degree of freedom systems. Hence, as advantages of the proposed method, this method has appropriate convergence, accuracy and low computational time. Therefore, the novelty of this work is that for very small values of t , this method is more precise and less time consuming rather than other existed methods. This is a useful instrument for the analysis of dynamic systems with very small values of t under earthquake loading
کلید واژگان :Linear dynamic response analysis; explicit method; accuracy; stability
ارزش ریالی : 600000 ریال
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