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: Contribution to journalConference articlepeer-review

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)
Pages (from-to)4208-4218
Number of pages11
JournalCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume6
StatePublished - Aug 28 2003
Event44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - Norfolk, VA, United States
Duration: Apr 7 2003Apr 10 2003

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