On the Modeling of Shells in Multibody Dynamics

Abstract

Energy preserving/decaying schemes are presented for the simulation of the nonlinear multibody systems involving shell components. The proposed schemes are designed to meet four specific requirements: unconditional nonlinear stability of the scheme, a rigorous treatment of both geometric and material nonlinearities, exact satisfaction of the constraints, and the presence of high frequency numerical dissipation. The kinematic nonlinearities associated with arbitrarily large displacements and rotations of shells are treated in a rigorous manner, and the material nonlinearities can be handled when the constitutive laws stem from the existence of a strain energy density function. The efficiency and robustness of the proposed approach is illustrated with specific numerical examples that also demonstrate the need for integration schemes possessing high frequency numerical dissipation.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 2000
Accession Number
ADA384903

Entities

People

  • Carlo L. Bottasso
  • Jou-young Choi
  • Olivier A. Bauchau

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bending Moments
  • Composite Materials
  • Computational Science
  • Curvature
  • Differential Equations
  • Differential Geometry
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Fluid Mechanics
  • Frequency
  • Geometry
  • Materials
  • Mechanical Energy
  • Mechanics
  • Momentum
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.