NPC integrator and its unconditional stability for response analysis of constrained structures

David W. Begg, Xiaojian Liu

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


This paper presents a Newmark-based predictor-corrector (NPC) method for the solution of constrained structures characterized by differential and algebraic equations (DAE's). The feature of this method is the formulation and solution of the generalized displacements of the structure incorporating Lagrangian multipliers in the mixed DAE's separately using a predictor-corrector-like procedure. By giving predictions of the generalized displacements, the Lagrangian multipliers are evaluated from their governing equation, and then the generalized displacements are corrected based on the evaluated Lagrangian multipliers. A rigorous proof of the unconditional stability of the integration scheme for linear DAE's is derived. To demonstrate the effectiveness of the proposed method, a 14-bar truss structure with circular slot constraints is solved.

Original languageEnglish
Title of host publicationEngineering, Construction, and Operations in Space V
EditorsStewart W. Johnson
PublisherAmerican Society of Civil Engineers (ASCE)
Number of pages8
ISBN (Print)0784401772, 9780784401774
Publication statusPublished - 1 Jun 1996
Event5th International Conference on Space - Albuquerque, United States
Duration: 1 Jun 19966 Jun 1996

Publication series

NameEngineering, Construction, and Operations in Space V


Conference5th International Conference on Space
Abbreviated titleSpace 1996
Country/TerritoryUnited States


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