461 ウェーブレットによる時変モード表現とその同定

• 増田 新

  京工繊大

• 曽根 彰

  京工繊大

書誌事項

タイトル別名

• Time-Varying Modal Representation by Wavelets

抄録

The purpose of this paper is to provide a modal expression of a time-varying MDOF system and to develop an identification method for it. An ordinary time-invariant MDOF system can be represented by a superposition of time-invariant SDOF subsystems. Extending this manner to a time-varying case, we express the single-input-multi-output relation of a time-varying MDOF system as a superposition of time-varying SDOF subsystems in the time domain, where the expansion coefficients represent the time-varying mode-shapes, and the natural frequency and the damping ratio of each subsystem represent the time-varying modal parameters of each mode. Then we define the SDOF wavelets which correspond to the time-varying impulse responses of each SDOF subsystem and show that the output of the entire system can be expressed by a superposition of SDOF wavelets. Therefore, the identification problem is reduced to an atomic decomposition problem of choosing the nearly best set of SDOF wavelets and determining the expansion coefficients. We develop a modified matching pursuit algorithm, called modal pursuit, to solve the problem. Basic examples are numerically examined to show that the proposed modal representation and the identification method are applicable to track the modal characteristics of time-varying structures.

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), 239-, 2000-09-01

  一般社団法人日本機械学会

キーワード

• Modal Analysis
• Time-Varying System
• Identification
• Wavelets

詳細情報

• CRID: 1571417127145044224
• NII論文ID: 110002482601
• 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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