### Abstract

The transfer stiffness coefficient method, which was developed in the previous report by introducing the concept of the substructure synthesis method into the computation process of the transfer influence coefficient method, is applied to a structure with closed loops in the system. Such a structure can not be analyzed easily by the transfer influence coefficient method. However, the transfer stiffness coefficient method becomes applicable to such a structure, since the cross dynamic stiffness coefficient matrix is introduced to represent the relationship between the state variables of substructure. As a typical example of the structure with closed loops, an algorithm based on the transfer stiffness coefficient method is formulated for the free and forced vibration analyses of a framework structure constructed from some uniform beams. In the analysis, both the truss and rahmen structures are treated. The validity of the present algorithm concerning the computation efficiency and the computational accuracy is confirmed by comparing the numerical computational results obtained by the transfer stiffness coefficient method with those obtained by applying the finite element method and the transfer matrix method.

Original language | English |
---|---|

Pages (from-to) | 2203-2210 |

Number of pages | 8 |

Journal | Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C |

Volume | 70 |

Issue number | 8 |

Publication status | Published - Aug 1 2004 |

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### All Science Journal Classification (ASJC) codes

- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering

### Cite this

*Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C*,

*70*(8), 2203-2210.

**Vibration analysis of a structure with closed loops by the transfer stiffness coefficient method.** / Bonkobara, Yasuhiro; Kondou, Takahiro; Ayabe, Takashi.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C*, vol. 70, no. 8, pp. 2203-2210.

}

TY - JOUR

T1 - Vibration analysis of a structure with closed loops by the transfer stiffness coefficient method

AU - Bonkobara, Yasuhiro

AU - Kondou, Takahiro

AU - Ayabe, Takashi

PY - 2004/8/1

Y1 - 2004/8/1

N2 - The transfer stiffness coefficient method, which was developed in the previous report by introducing the concept of the substructure synthesis method into the computation process of the transfer influence coefficient method, is applied to a structure with closed loops in the system. Such a structure can not be analyzed easily by the transfer influence coefficient method. However, the transfer stiffness coefficient method becomes applicable to such a structure, since the cross dynamic stiffness coefficient matrix is introduced to represent the relationship between the state variables of substructure. As a typical example of the structure with closed loops, an algorithm based on the transfer stiffness coefficient method is formulated for the free and forced vibration analyses of a framework structure constructed from some uniform beams. In the analysis, both the truss and rahmen structures are treated. The validity of the present algorithm concerning the computation efficiency and the computational accuracy is confirmed by comparing the numerical computational results obtained by the transfer stiffness coefficient method with those obtained by applying the finite element method and the transfer matrix method.

AB - The transfer stiffness coefficient method, which was developed in the previous report by introducing the concept of the substructure synthesis method into the computation process of the transfer influence coefficient method, is applied to a structure with closed loops in the system. Such a structure can not be analyzed easily by the transfer influence coefficient method. However, the transfer stiffness coefficient method becomes applicable to such a structure, since the cross dynamic stiffness coefficient matrix is introduced to represent the relationship between the state variables of substructure. As a typical example of the structure with closed loops, an algorithm based on the transfer stiffness coefficient method is formulated for the free and forced vibration analyses of a framework structure constructed from some uniform beams. In the analysis, both the truss and rahmen structures are treated. The validity of the present algorithm concerning the computation efficiency and the computational accuracy is confirmed by comparing the numerical computational results obtained by the transfer stiffness coefficient method with those obtained by applying the finite element method and the transfer matrix method.

UR - http://www.scopus.com/inward/record.url?scp=8344283563&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=8344283563&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:8344283563

VL - 70

SP - 2203

EP - 2210

JO - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 8

ER -