A weighted residual quadratic acceleration time integration method in nonlinear structural dynamics

A. Gholampour, M. Ghassemieh

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

A new method is proposed for the direct time integration method for nonlinear structural dynamics problems. In the proposed method which includes an extensive family of direct time integration, the order of the time integration scheme is higher than the classical methods. This method assumes quadratic variation of the acceleration at each time step. The result obtained from this new higher order method is compared with two classical explicit methods; namely the central difference method and the Newmark's method (linear acceleration method). Due to increase in order of variations of acceleration, this method has higher accuracy than classical methods. Proposed method includes a family of conditionally stable methods. The numerical dispersion of the proposed method is far less than of those classical methods.

Original languageEnglish
Title of host publicationProceedings Second International Conference on Computer Research and Development
Subtitle of host publicationICCRD 2010
Place of PublicationIEEE
PublisherIEEE
Pages584-587
Number of pages4
ISBN (Print)9780769540436
DOIs
Publication statusPublished - 2010
Externally publishedYes
EventSecond International Conference on Computer Research and Development: ICCRD 2010 - Kuala Lumpur, Malaysia
Duration: 7 May 201010 May 2010

Conference

ConferenceSecond International Conference on Computer Research and Development
CountryMalaysia
CityKuala Lumpur
Period7/05/1010/05/10

Keywords

  • Explicit method
  • Nonlinear structural dynamics
  • Quadratic acceleration
  • Time integration
  • Weighted residual

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