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

Marco Quadrelli; S. N. Atlurit

doi:10.2514/6.1996-1594

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

Marco Quadrelli, S. N. Atlurit

Mechanical Engineering

Research output: Contribution to conference › Paper › peer-review

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 language	English
Pages	2416-2426
Number of pages	11
DOIs	https://doi.org/10.2514/6.1996-1594
State	Published - 1996
Event	37th AIAA/ASME/ASCE/AHS/ASC Structure, Structural Dynamics and Materials Conference, 1996 - Salt Lake City, United States Duration: Apr 15 1996 → Apr 17 1996

Conference

Conference	37th AIAA/ASME/ASCE/AHS/ASC Structure, Structural Dynamics and Materials Conference, 1996
Country/Territory	United States
City	Salt Lake City
Period	04/15/96 → 04/17/96

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10.2514/6.1996-1594

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title = "Primal and mixed variational principles for dynamic analysis of spatial beams with finite rotations",

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.",

author = "Marco Quadrelli and Atlurit, {S. N.}",

note = "Publisher Copyright: {\textcopyright} 1996 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.; 37th AIAA/ASME/ASCE/AHS/ASC Structure, Structural Dynamics and Materials Conference, 1996 ; Conference date: 15-04-1996 Through 17-04-1996",

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AB - 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.

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T2 - 37th AIAA/ASME/ASCE/AHS/ASC Structure, Structural Dynamics and Materials Conference, 1996

Y2 - 15 April 1996 through 17 April 1996

ER -

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

Abstract

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