擬似モードを用いた曲がりはりの低次元非線形モード方程式(<小特集>機械系における非線形力学と解析法)

概要

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The finite element method is used to investigate steady-state vibrations of a curved beam with geometrical nonlinearity. The nonlinear strain-displacement relation is employed and the in-plane displacement in middle plane is included in the model. Equations of motion are derived by applying the principle of virtual work. A reduced-order model is derived by transforming the equations of motion from the physical coordinates to the modal coordinates on the pseudo-mode space. We can obtain only a few d.o.f. equations of motion in the modal coordinates, and present numerical results are compared with results obtained by applying a numerical integration directly to the equations of motion in the physical coordinates.
社団法人日本機械学会の論文
2007-04-25