On Lax-Wendroff/Taylor-Galerkin computational methodology for structural dynamics analysis

Kumar K Tamma, R. R. Namburu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We propose an explicit velocity-based Lax-Wendroff/Taylor-Galerkin methodology of computation with emphasis on applicability to the dynamics of structures. The proposed formulations are general and applicable to the areas of linear/nonlinear computational structural dynamics (CSD). The concepts are based on the philosophy of an improved rationale for treating both the spatial and temporal variations in direct integration methods. As a consequence, the approach is based on first expressing the transient time-derivative terms in conservation form in terms of a Taylor series expansion including higher order time-derivatives, which are evaluated from the governing dynamic equations of motion also expressed in conservation form. An updating scheme is proposed for the necessary conservation variables for obtaining the dynamic response. The basic methodology is described, with emphasis on applications to beam-type structural models. Results which are of comparative nature are presented to validate and demonstrate the applicability to linear/nonlinear dynamics of structures.

Original languageEnglish (US)
Title of host publicationUnknown Host Publication Title
PublisherPubl by American Soc of Mechanical Engineers (ASME)
Pages27-35
Number of pages9
StatePublished - Dec 1 1988
EventComputers in Engineering 1988 - Proceedings - San Francisco, CA, USA
Duration: Jul 31 1988Aug 4 1988

Other

OtherComputers in Engineering 1988 - Proceedings
CitySan Francisco, CA, USA
Period7/31/888/4/88

    Fingerprint

Cite this

Tamma, K. K., & Namburu, R. R. (1988). On Lax-Wendroff/Taylor-Galerkin computational methodology for structural dynamics analysis. In Unknown Host Publication Title (pp. 27-35). Publ by American Soc of Mechanical Engineers (ASME).