A time discontinuous formulations preserving a consistent high-order of accuracy for nonlinear/linear structural dynamics

Ramdev Kanapady, Siddharth Srinivasan, Kumar K Tamma

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

Abstract

Given a time integrator of a prescribed level of accuracy for integrating step-by-step the linear equations of motion, the key objective of the present paper is to design consistent high-order of accuracy time discretized operators for nonlinear dynamic situations based on a generalized bi-discontinuous weakform formulation. Emanating from a generalized bi-discontinuous time weighted residual formulation, a new unified set of energy dissipating time discretized operators for the equations of motion in the two-field form are presented that are fundamentally useful for non-linear structural dynamic computations. A consistent theoretical development is provided such that the order of convergence of the time integrators for linear situations are also preserved for non-linear situations. The theoretical developments and stability, accuracy, and convergence are described via various non-linear single degree-of-freedom dynamic systems representative of many practical applications.

Original languageEnglish (US)
Title of host publication44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
StatePublished - Dec 1 2003
Event44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2003 - Norfolk, VA, United States
Duration: Apr 7 2003Apr 10 2003

Publication series

Name44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

Other

Other44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2003
CountryUnited States
CityNorfolk, VA
Period4/7/034/10/03

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Kanapady, R., Srinivasan, S., & Tamma, K. K. (2003). A time discontinuous formulations preserving a consistent high-order of accuracy for nonlinear/linear structural dynamics. In 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference).