A plausible standardized formal theory of development/evolution of a wide class of computational algorithms for dynamic analysis is presented. The proposed developments are significantly different from the way traditional modal type and a wide class of step-by-step time integration approaches have been developed and described in the research literature and in standard text books over the years. The theoretical ideas and basis towards the evolution of a generalized methodology and formulations leading to integral operators in time and a wide class of single-step integration operators, multi-step integration operators, and a class of finite element in time integration operators, and their relationships for the resulting solution of dynamic equation systems are particularly addressed. Comparisons are also drawn with those obtained from the original methods of development. Furthermore, a variety of time operators are uniquely identified by discrete numerically assigned [DNA] algorithmic markers which not only serve as a prelude towards plausibly providing a standardized formal forum for selecting and identifying time operators but also permit lucid communication when referring to time operators. Furthermore, a single analysis code which permits a variety of choices to the analyst is now feasible for performing structural dynamic computations.
|Number of pages
|Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
|Published - 1998
|Proceedings of the 1998 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit and AIAA/ASME/AHS Adaptive Structures Forum. Part 1 (of 4) - Long Beach, CA, USA
Duration: Apr 20 1998 → Apr 23 1998