134 真直な不減衰はりの自由振動 : その運動方程式の非可積分性

• 矢ヶ崎 一幸

  岐阜大

書誌事項

タイトル別名

• Free Vibrations of an Undamped, Straight Beam : Nonintegrability of Its Equation of Motion

抄録

We study a mathematical model for unforced and undamped, straight beams. this system is governed by an integro, partial differential equation, and its energy is conservative : It is an infinite-degree-of-freedom Hamiltonian system. We can derive "exact" finite-degree-of-freedom mode truncations for the model. Using the differential Galois theory for Hamiltonian systems, we prove that any two or more modes truncations for the model are nonintegrable in a complex analytical meaning. This also means the nonintegrability of the infinite-degree-of-freedom model for the beams. We give a numerical simulation result and observe that chaotic motions occur as in usual nonintegrable Hamiltonian systems.

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 2002 (0), 36-, 2002-09-13

  一般社団法人日本機械学会

キーワード

• Nonlinear Vibration
• Nonintegrability
• Chaos
• Beam
• Free Vibration

詳細情報

• CRID: 1574231876911431296
• NII論文ID: 110002482801
• 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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