### Abstract

In the first report, there has been presented a general method of optimum design of structures in which natural frequencies are involved in objective functions and/or conditions of constraints. In the second report, the method are demonstrated in the problems of ″type-1″ (i. e. to find the optimum shapes of structures which gave maximum fundamental natural frequencies under specified total mass). The structural elements having 1- and 2-section-freedoms are taken as concrete objects, and numerical results obtained were discussed in detail from many points of view. In this report, we consider the basic problems of ″type-1″ vibrating beams which are subjected to axial forces as advanced numerical examples of the method presented in the first report. Many numerical results are demonstrated and also discussed in detail. Especially, it is necessary to pay attention to the buckling problems in the case of beams subjected to axial forces and columns with regard to their own weight. The problem of finding the optimum shapes of structures which give maximum fundamental natural frequencies under specified total mass (type-1 problem) is considered for beams subjected to axial forces and for tower-shaped structures (columns) with regard to their weight. Numerical examples are presented and discussed in detail.

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

Pages (from-to) | 637-643 |

Number of pages | 7 |

Journal | Bulletin of the JSME |

Volume | 21 |

Issue number | 154 |

Publication status | Published - 1978 Apr |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Bulletin of the JSME*,

*21*(154), 637-643.

**OPTIMUM DESIGN OF STRUCTURES WITH REGARD TO THEIR VIBRATIONAL CHARACTERISTIC - 4. Type-1-PROBLEMS OF BEAMS SUBJECTED TO AXIAL FORCES.** / Yamakawa, Hiroshi; Amari, Masahiko; Kunihiro, Masashi; Kawashima, Kazue.

Research output: Contribution to journal › Article

*Bulletin of the JSME*, vol. 21, no. 154, pp. 637-643.

}

TY - JOUR

T1 - OPTIMUM DESIGN OF STRUCTURES WITH REGARD TO THEIR VIBRATIONAL CHARACTERISTIC - 4. Type-1-PROBLEMS OF BEAMS SUBJECTED TO AXIAL FORCES.

AU - Yamakawa, Hiroshi

AU - Amari, Masahiko

AU - Kunihiro, Masashi

AU - Kawashima, Kazue

PY - 1978/4

Y1 - 1978/4

N2 - In the first report, there has been presented a general method of optimum design of structures in which natural frequencies are involved in objective functions and/or conditions of constraints. In the second report, the method are demonstrated in the problems of ″type-1″ (i. e. to find the optimum shapes of structures which gave maximum fundamental natural frequencies under specified total mass). The structural elements having 1- and 2-section-freedoms are taken as concrete objects, and numerical results obtained were discussed in detail from many points of view. In this report, we consider the basic problems of ″type-1″ vibrating beams which are subjected to axial forces as advanced numerical examples of the method presented in the first report. Many numerical results are demonstrated and also discussed in detail. Especially, it is necessary to pay attention to the buckling problems in the case of beams subjected to axial forces and columns with regard to their own weight. The problem of finding the optimum shapes of structures which give maximum fundamental natural frequencies under specified total mass (type-1 problem) is considered for beams subjected to axial forces and for tower-shaped structures (columns) with regard to their weight. Numerical examples are presented and discussed in detail.

AB - In the first report, there has been presented a general method of optimum design of structures in which natural frequencies are involved in objective functions and/or conditions of constraints. In the second report, the method are demonstrated in the problems of ″type-1″ (i. e. to find the optimum shapes of structures which gave maximum fundamental natural frequencies under specified total mass). The structural elements having 1- and 2-section-freedoms are taken as concrete objects, and numerical results obtained were discussed in detail from many points of view. In this report, we consider the basic problems of ″type-1″ vibrating beams which are subjected to axial forces as advanced numerical examples of the method presented in the first report. Many numerical results are demonstrated and also discussed in detail. Especially, it is necessary to pay attention to the buckling problems in the case of beams subjected to axial forces and columns with regard to their own weight. The problem of finding the optimum shapes of structures which give maximum fundamental natural frequencies under specified total mass (type-1 problem) is considered for beams subjected to axial forces and for tower-shaped structures (columns) with regard to their weight. Numerical examples are presented and discussed in detail.

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UR - http://www.scopus.com/inward/citedby.url?scp=0017956006&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0017956006

VL - 21

SP - 637

EP - 643

JO - Bulletin of the JSME

JF - Bulletin of the JSME

SN - 0021-3764

IS - 154

ER -