Application of Single-Step Block Format in Structural Dynamic Response Analysis
The typical calculation methods of dynamic time history response are low-order numerical algorithms,which are more sensitive to the calculation step size,and usually a smaller calculation step size is required to meet the accuracy requirements of the dynamic response analysis.In this paper,the one-step block method is used in the dy-namic response analysis of a multi-degree-of-freedom damping system.Drawing lessons from the basic idea of the integration differential method,the Duhamel integral term of the non-homogeneous term of the dynamic equation is converted into a differential equation,and the one-step block method is used to solve the problem.At the same time,the precise integration method is used to calculate the matrix exponent of each time node.For a given period,the s-stage one block scheme can calculate the dynamic response of s time-steps at the same time,so it has a high degree of parallel computing,and has strong numerical stability and maintains the characteristics of an explicit algorithm.Nu-merical test results show that the algorithm has strong numerical stability,high numerical calculation accuracy,high calculation efficiency under a large time step,and stable and reliable calculation results.
万方数据
维普
