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 language||English (US)|
|Number of pages||11|
|Journal||Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference|
|State||Published - Aug 28 2003|
|Event||44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - Norfolk, VA, United States|
Duration: Apr 7 2003 → Apr 10 2003