高次と低次のモードの省略可能な新しいモード合成技術の開発 : 第4報, 時刻歴応答問題への適用

概要

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A mode superposition technique which is able to compensate truncated lower modes as well as higher modes, is presented for the time history analysis. The procedure for frequency response developed by two of the authors is generalized and applied to the transient response problem. The formulation of the structural system and coupled acoustic-structural system are described. A frequency parameter is introduced, and it is shown that the proposed method is a generalization of modal displacement method and Hansteen's method. By adequate setting of the nonzero parameter, reduction of lower modes as well as higher modes becomes possible. The accuracy and the efficiency of the procedure are demonstrated through numerical study of the structural system. The numerical results are also compared with the one obtained by Hansteen's method. A sample solution of the coupled acoustic-structural system is presented, and it is shown that the size of computation becomes much smaller with the reduction of lower modes.
社団法人日本機械学会の論文
1992-01-25