A generalized class of energy conservation/dissipation [GInO]-σ family of time operators with improved physical attributes for non-linear computational dynamics

Sukhpreet S. Sandhu, Ramdev Kanapady, Kumar K. Tamma

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

Abstract

Direct extension of linear multistep time integration methods (LMS) when applied to non-linear situations exhibit unbounded growth in energy with both dissipative and non-dissipative framework. It is well known that energy-momentum conserving method (EMM) when applied to non-linear situations, conserves energy. The key difference between the EMM and the Mid-point rule, although they are equivalent in the linear regime is the unique treatment of the stress update. Therefore, in this paper, extension of the generalized integration operator [GInO] framework to represent the non-linear internal force by employing the true algorithmic stress is presented. In addition to modeling of conservation/dissipation of energy correctly, the methodology which is termed here as [GInO]-σ is also inherits optimal properties such as second-order accuracy, minimal numerical dissipation and dispersion, and zero-order displacement and velocity overshoot behavior.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Pages1967-1977
Number of pages11
Volume3
StatePublished - 2003
Event44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - Norfolk, VA, United States
Duration: Apr 7 2003Apr 10 2003

Other

Other44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
CountryUnited States
CityNorfolk, VA
Period4/7/034/10/03

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Sandhu, S. S., Kanapady, R., & Tamma, K. K. (2003). A generalized class of energy conservation/dissipation [GInO]-σ family of time operators with improved physical attributes for non-linear computational dynamics. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (Vol. 3, pp. 1967-1977)