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Title of Journal: Sci China Phys Mech Astron

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Abbravation: Science China Physics, Mechanics and Astronomy

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SP Science China Press

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DOI

10.1002/hrm.20318

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1869-1927

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An efficient timeintegration method for nonlinear

Authors: TianYun Liu QingBin Li ChongBin Zhao
Publish Date: 2013/03/08
Volume: 56, Issue: 4, Pages: 798-804
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Abstract

This paper presents an efficient timeintegration method for obtaining reliable solutions to the secondorder nonlinear dynamic problems in structural engineering This method employs both the backwardacceleration differentiation formula and the trapezoidal rule resulting in a selfstarting single step secondorder accurate algorithm With the same computational effort as the trapezoidal rule the proposed method remains stable in large deformation and long time range solutions even when the trapezoidal rule fails Meanwhile the proposed method has the following characteristics 1 it is applicable to linear as well as general nonlinear analyses 2 it does not involve additional variables eg Lagrange multipliers and artificial parameters 3 it is a singlesolver algorithm at the discrete time points with symmetric effective stiffness matrix and effective load vectors and 4 it is easy to implement in an existing computational software Some numerical results indicate that the proposed method is a powerful tool with some notable features for practical nonlinear dynamic analyses


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