有限要素法によるローラ腰入れされた円板の振動解析 : 初期応力剛性行列と固有振動数の簡易推定法(機械力学,計測,自動制御)

概要

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This paper proposes an efficient method for estimating natural frequencies of roll-tensioned disks. In addition, initial stress stiffness matrices necessary for calculating natural frequencies are efficiently estimated. The proposed method based on SDM (Structural Dynamics Modification) technique estimates the natural frequencies after roll-tensioning from the natural frequencies and mode shapes before roll-tensioning and initial stress stiffness matrices by roll-tensioning. The examples show that when small rolling load is applied, a one-dimensional eigenvalue problem produces the accurate estimation. When the estimation errors by the one-dimensional eigenvalue problem are large, the coupled eigenvalue problem must be solved. In this case, a small-sized eigenvalue problem is sufficient because the mode shapes after roll-tensioning are expressed by the mode shapes before roll-tensioning with the same number of nodal diameters and the different number of nodal circles.
一般社団法人日本機械学会の論文
2002-01-25