### 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 language | English |
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Pages (from-to) | 509-517 |

Number of pages | 9 |

Journal | Computers and Structures |

Volume | 64 |

Issue number | 1-4 |

Publication status | Published - 1997 Jul |

Externally published | Yes |

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### 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.

Research output: Contribution to journal › Article

*Computers and Structures*, vol. 64, no. 1-4, pp. 509-517.

}

TY - JOUR

T1 - Direct strain measure for large displacement analyses on hinge connected beam structures

AU - Mitsugi, Jin

PY - 1997/7

Y1 - 1997/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0031189202&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031189202&partnerID=8YFLogxK

M3 - Article

VL - 64

SP - 509

EP - 517

JO - Computers and Structures

JF - Computers and Structures

SN - 0045-7949

IS - 1-4

ER -