Document Type

Article

Source Publication Title

Computational methods in applied mathematics

First Page

227

Last Page

238

Abstract

In the proposed method, the variation of displacement in each time step is assumed to be a fourth order polynomial in time and its five unknown coefficients are calculated based on: two initial conditions from the previous time step; satisfying the equation of motion at both ends of the time step; and the zero weighted residual within the time step. This method is non-dissipative and its dispersion is considerably less than in other popular methods. The stability of the method shows that the critical time step is more than twice of that for the linear acceleration method and its convergence is of fourth order.

Disciplines

Civil and Environmental Engineering | Civil Engineering | Engineering

Publication Date

1-1-2007

Language

English

Available for download on Wednesday, January 01, 3000

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