Direct strain measure for large displacement analyses on hinge connected beam structures

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A multibody dynamics formulation based on a nonlinear finite element method is presented, particularly targeting beams connected with hinges. A nonlinear kinematics, called direct strain measure, is employed to extract the strains of beams subjected to large displacement, including finite rotations but small strain. Hinges are mathematically expressed in terms of the relation between connecting nodes, rather than Lagrange multipliers. The resultant dynamic equation is a differential equation of minimum set of degree of freedom, while the sparsity of mass and stiffness matrices are preserved. Computational examples prove the validity of the proposed method.

Original languageEnglish
Pages (from-to)509-517
Number of pages9
JournalComputers and Structures
Volume64
Issue number1-4
Publication statusPublished - 1997 Jul
Externally publishedYes

Fingerprint

Large Displacements
Hinges
Finite Rotations
Multibody Dynamics
Nonlinear Finite Element
Lagrange multipliers
Stiffness matrix
Stiffness Matrix
Sparsity
Dynamic Equation
Kinematics
Differential equations
Degree of freedom
Finite Element Method
Differential equation
Finite element method
Formulation
Vertex of a graph

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

Direct strain measure for large displacement analyses on hinge connected beam structures. / Mitsugi, Jin.

In: Computers and Structures, Vol. 64, No. 1-4, 07.1997, p. 509-517.

Research output: Contribution to journalArticle

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