231 初期軸変位により形状が変化する2Dビーム構造の共振周波数の幾何学的非線形性FEA

概要

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Eigen frequencies for two dimensional beam structures were investigated under initial axial displacements. When the beam structures are consisted of extremely thin flexible components,the shapes of the structures are changed due to the initial axial displacement. And then, their eigen frequencies are affected by the axial displacements. To analyze these phenomena, discrete equations using finite element in consideration with geometrical nonlinearity were derived as cubic simultaneous nonlinear differential equations. First,large static deformations of the structures due to initial axial displacement were calculated using the proposed FEM. Next, linear natural frequencies for the deformed structures were investigated. In the numerical analysis, both ends of the beam structures were assumed to be clamped. The calculated results for straight beams with initial compressive displacement using the FEM were consistent with the theoretical results carried by the authors previously. Further,the influences of initial axial displacement on eigen frequencies of the plane structure which was comprised of five straight beams were clarified.
一般社団法人日本機械学会の論文
2005-08-22