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《结构与土木工程前沿(英文)》 >> 2019年 第13卷 第1期 doi: 10.1007/s11709-018-0486-2

A fast and accurate dynamic relaxation scheme

Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

录用日期: 2018-07-17 发布日期: 2019-01-04

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摘要

Dynamic relaxation method (DRM) is one of the suitable numerical procedures for nonlinear structural analysis. Adding the fictitious inertia and damping forces to the static equation, and turning it to the dynamic system, are the basis of this technique. Proper selection of the DRM artificial factors leads to the better convergence rate and efficient solutions. This study aims to increase the numerical stability, and to decrease the analysis time. To fulfil this objective, the reduction rate of analysis error for consecutive iterations is minimized. Based on this formulation, a new time step is found for the viscous dynamic relaxation. After combining this novel relationship with the other DRM factors, various geometrical nonlinear structures, such as, trusses, frames and shells are analyzed. The obtained results verify the efficiency of authors’ scheme.

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