自重で形状が変化する二次元柔軟はり構造の固有振動数 : 幾何学的非線形を考慮したFEM解析

フォーマット:

論文

責任表示:

山口, 誉夫 ; 堺本, 和也 ; 永井, 健一 ; 丸山, 真一

言語:

日本語

出版情報:

日本機械学会, 2004-08-25

著者名:

• 山口, 誉夫
• 堺本, 和也
• 永井, 健一
• 丸山, 真一

掲載情報:

日本機械学會論文集. C編

ISSN:

0387-5024    

巻:

70

通号:

696

開始ページ:

2211

終了ページ:

2218

バージョン:

VoR

概要:

application/pdf<br />Journal Article<br />This paper describes that eigen frequencies for two dimensional beam structures under gravity. Because the beam structures were consisted of extremely thin flexible components, the shapes of the structures were changed due to their self-weight. And both ends of the beam structures were assumed to be clamped. To analyze these phenomena, discrete equations using finite element in consideration with geometrical nonlinearity … were derived as cubic simultaneous nonlinear differential equations. First, large static deformations of the structures due to gravity were calculated using the proposed FEM. Next, linear natural frequencies for the deformed structures were investigated. The calculated results for straight beams and shallow arches using the FEM were consistent with the theoretical results carried by authors previously. Further, the influences of self-weight on eigen frequencies of the structure which was comprised of three straight beams were clarified. 続きを見る