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2013•Xihua Daxue xuebao. Zhexue shehui kexue banRequires access

A New Step-by-step Integration Method Based ON Uniform Qunitic B-spline Interpolation for Dynamic Response

Gu Bi

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Abstract

In order to calculate structural dynamic response,a new step-by-step integration is presented.The step-by-step recursion method is deduced on the basis of uniform quintic B-spline interpolation of nodal displacement,velocity,and acceleration within a local time domain.Two parameters are introduced to meet good stability and accuracy.The proposed method has advantages of self-starting and no middle computational procedure.The numerical results and the comparison with Newmark and Wilson method show this method possesses high calculation accuracy.

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What this paper is about

In order to calculate structural dynamic response,a new step-by-step integration is presented.The step-by-step recursion method is deduced on the basis of uniform quintic B-spline interpolation of nodal displacement,velocity,and acceleration within a local time domain.Two parameters are introduced to meet good stability and accuracy.The proposed method has advantages of self-starting and no middle computational procedure.The numerical results and the comparison with Newmark and Wilson method show this method possesses high calculation accuracy.

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Available abstract

In order to calculate structural dynamic response,a new step-by-step integration is presented.The step-by-step recursion method is deduced on the basis of uniform quintic B-spline interpolation of nodal displacement,velocity,and acceleration within a local time domain.Two parameters are introduced to meet good stability and accuracy.The proposed method has advantages of self-starting and no middle computational procedure.The numerical results and the comparison with Newmark and Wilson method show this method possesses high calculation accuracy.

Key concepts: Newmark-beta method, Quintic function, Interpolation (computer graphics), Spline interpolation, Mathematics, Displacement (psychology), Algorithm, Acceleration

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