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
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Abolmaali, Ali; Razavi, S.H.; and Ghassemieh, M., "A weighted residual parabolic acceleration time integration method for problems in structural dynamics" (2007). Civil Engineering Faculty Publications. 40.
https://mavmatrix.uta.edu/civilengineering_facpubs/40