Primal and mixed variational principles for dynamic analysis of spatial beams with finite rotations

Marco Quadrelli, S. N. Atlurit

Research output: Contribution to conferencePaper

Abstract

This paper describes primal and dual variational formulations to model spatial beams envisioned for multibody dynamics applications. Use is made of the finite rotation vector to parameterize the rotation field, and of its tangent maps to compute the tangent iteration matrices used to numerical integrate the equations of motion in descriptor form. A Total Lagrangean primal corotational method and an Updated Lagrangean mixed variational method are proposed to compute the tangent stiffness matrix of the spatial beam.

Original languageEnglish
Pages2416-2426
Number of pages11
DOIs
StatePublished - 1996
Event37th AIAA/ASME/ASCE/AHS/ASC Structure, Structural Dynamics and Materials Conference, 1996 - Salt Lake City, United States
Duration: Apr 15 1996Apr 17 1996

Conference

Conference37th AIAA/ASME/ASCE/AHS/ASC Structure, Structural Dynamics and Materials Conference, 1996
CountryUnited States
CitySalt Lake City
Period04/15/9604/17/96

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