伝達マトリックス法に基づく回転翼振動解析の厳密理論 : 第3報,慣性,剛性,遠心力マトリックスの対称性,コリオリマトリックスの反対称性および慣性,全剛性マトリックスの正定性の検証

概要

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In order to show the features of the method of analyzing blade natural vibration described in the first and second reports, it must be demonstrated that the inertia, stiffness, centrifugal force and Coriolis matrices, which are equivalent to the transfer matrix of the second report, are symmetric, symmetric, symmetric and antisymmetric matrices, respectively, and that the inertia matrix and the total stiffness matrix-the latter is the sum of the stiffness and centrifugal force matrices-are positive definite matrices. It also means that natural frequencies are positive real number, and that each natural mode shape is orthogonal to the others. In addition, the result is effective in ascertaining that the selection of state variables and the treatment of centrifugal tension resistance are appropriate. In the process of the above proof, an equivalent method for symmetry verification is proposed and used, in order to make symmetry verification easier.
一般社団法人日本機械学会の論文
1995-07-25