322 運動する系の偏微分方程式のモーダルモデル(モード解析と応用関連技術1)(OS.16 : モード解析と応用関連技術)

概要

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Axially moving strings or beams are subjected to the Coriolis effect, and rotating shafts to gyroscopic effect. The partial differential equations of moving strings or rotating shafts are rewritten in terms of state equations in a skew-Hermitian form, and the orthogonality of the eigenfunctions is then achieved. For the partial differential equations that include the Coriolis or gyroscopic term, approximate solving methods for applying to equations with a perturbation terms are developed by modal analysis based upon the exact orthogonality condition. In this paper, we demonstrate the validity of the asymptotic expansion by comparison of the approximate solution with the exact solution.
一般社団法人日本機械学会の論文
2001-08-03