A Weighted Residual Parabolic Acceleration Time Integration Method for Problems in Structural Dynamics
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.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A Weighted Residual Parabolic Acceleration Time Integration Method for Problems in Structural Dynamics ; volume:7 ; number:3 ; year:2007 ; pages:227-238
Computational methods in applied mathematics ; 7, Heft 3 (2007), 227-238
- Creator
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Razavi, S.H.
Abolmaali, A.
Ghassemieh, M.
- DOI
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10.2478/cmam-2007-0014
- URN
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urn:nbn:de:101:1-2410261628556.748808942215
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:34 AM CEST
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Associated
- Razavi, S.H.
- Abolmaali, A.
- Ghassemieh, M.
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