形状関数近似による質量搭載片持ばりの曲げ振動解析

フォーマット:

論文

責任表示:

永井, 健一 ; 荒井, 徳幸 ; 長屋, 幸助 ; 武田, 定彦

言語:

日本語

出版情報:

日本機械学会, 1989-08-25

著者名:

• 永井, 健一
• 荒井, 徳幸
• 長屋, 幸助
• 武田, 定彦

掲載情報:

日本機械学會論文集. C編

ISSN:

0387-5024    

巻:

55

通号:

516

開始ページ:

1941

終了ページ:

1947

バージョン:

VoR

概要:

application/pdf<br />Journal Article<br />An analytical method is presented for free flexural vibrations of a cantilevered beam with a concentrated mass, introducing the new mode shape function to the Galerkin procedure. The mode shape function is expressed with the sum of the product of the trigonometrical function and the finite power series truncated with the fourth order. The trigonometrical function expresses the form of the higher mode … of vibration. The coefficients of the power series are determined by solving the homogeneous equations for the boundary conditions of the beam. Applying the Galerkin method, the sets of differential equation in a time function are reduced. It is found that this method gives good accuracy to the natural frequencies and the natural modes of vibration within the limited number of terms for unknown time functions. 続きを見る