359 せん断変形を考慮した変厚長方形板の振動解析と基本振動数の最大化

• 角舘 智則

  北海道工大院

• 笹島 学

  寿産業

• 成田 吉弘

  北海道工大

書誌事項

タイトル別名

• Vibration Analysis of a Shear-deformable Rectangular Plate of Variable Thickness and Maximization of the Fundamental Frequency

抄録

An optimal design approach is proposed for maximizing the fundamental frequency of free flexural vibration of thick rectangular plates with varying thickness. The plate analysis is based on the first order shear deformation theory, and a frequency equation is derived by using a method of Ritz for arbitrary sets of classical boundary conditions. In numerical examples, the thickness variation is assumed to be linear in one direction, and the taper ratio is used as a design variable to maximize the frequency under the constraint condition of the constant plate volume. It was found that there exist optimal solutions for the taper ratio that depend upon the boundary conditions of the rectangular plates.

収録刊行物

• Dynamics and Design Conference : 機械力学・計測制御講演論文集 : D & D

  Dynamics and Design Conference : 機械力学・計測制御講演論文集 : D & D 2000 (0), 173-, 2000-09-01

  一般社団法人日本機械学会

キーワード

• Optimal design method
• Free vibration
• Tapered plate
• Ritz's method
• Mindlin plate theory

詳細情報

• CRID: 1572543027051560960
• NII論文ID: 110002482536
• NII書誌ID: AA11901770
• ISSN: 13480235
• 本文言語コード: ja
• データソース種別:
  • CiNii Articles