J-1-5-116 座屈後はりの非線形振動におよぼす集中質量の軸方向慣性力による影響(J-1-5:非線形振動1(連続体),領域1:解析・設計の高度化と新展開,総合テーマ「海を越え,国を越え,世代を超えて!」)

• 丸山 真一

  群馬大学理工学研究院

• 高橋 知也

  群馬大学大学院理工学府

• 永井 健一

  群馬大学

• 山口 誉夫

  群馬大学理工学研究院

書誌事項

タイトル別名

• J-1-5-116 Effects of axial inertia of a concentrated mass on nonlinear vibrations of a buckled beam

抄録

In this study, a new analytical procedure on vibrations of a thin walled beam with a concentrated mass is presented. The beam is divided into a few segments with different cross section. Different from the previous analysis, the equation of motion of the beam is formulated as an expression including the axial displacements at nodes of the segments as unknown quantities, which makes it possible to analyze nonlinear problem and to consider the axial inertia force of a concentrated mass. Furthermore, employing this expression and applying the Galerkin procedure, the nonlinear governing equations of the beam are reduced to nonlinear ordinary differential equations of motion in a multiple-degree-of-freedom system. Static deformation, linear natural frequencies and corresponding modes of vibration of the beam and nonlinear periodic responses are calculated including the effects of axial inertia of concentrated masses.

収録刊行物

• 機械力学・計測制御講演論文集

  機械力学・計測制御講演論文集 2013 "116-1"-"116-10", 2013-08-25

  一般社団法人日本機械学会

キーワード

• Nonlinear Vibration
• Vibration of Continuous System
• Methoed of Vibration Analysis

詳細情報

• CRID: 1571417127850881280
• NII論文ID: 110009979070
• NII書誌ID: AA11901770
• ISSN: 13480235
• 本文言語コード: ja
• データソース種別:
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