## 抄録

This paper presents a new topology optimization method that maximizes multiple eigen-frequencies to obtain, at the conceptual design phase, the most stable designs of mechanical structures for dynamic problems. This method is developed based on frame elements that can consider the principal direction of the second moment of inertia in the cross-section to obtain optimal results that illustrate the relationship between the objective function and desired cross-sectional properties. For each frame element, an ellipsoidal cross-section is assumed as the simplest case. The normalized cross-sectional area, the rotational angle denoting the principal direction, and the ratio of the lengths of the major and minor axes, are considered as design variables. A method for obtaining the optimal angle is derived, based on the minimization of complementary energy. Finally, several numerical examples confirm the validity and utility of the proposed method, which should be useful for mechanical design engineers at the conceptual design phase.

寄稿の翻訳タイトル | Topology optimization using frame elements (for cases where eigen-frequencies are to be maximized) |
---|---|

本文言語 | Japanese |

ページ（範囲） | 3018-3025 |

ページ数 | 8 |

ジャーナル | Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C |

巻 | 71 |

号 | 10 |

DOI | |

出版ステータス | Published - 2005 10 |

外部発表 | はい |

## Keywords

- Computer Aided Engineering
- Design Engineering
- Framed Structure
- Optimum Design
- Sensitivity Analysis
- Structural Analysis

## ASJC Scopus subject areas

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