Abstract
Resonance responses for two dimensional beam structures were investigated under gravity. When the beam structures are consisted of extremely thin flexible components, the shapes of the structures are changed due to their self-weight. And then, their resonance response affected by the deflections. To analyze these phenomena, discrete equations using finite element in consideration with geometrical nonlinearity were derived as cubic simultaneous nonlinear differential equations. Linear natural frequencies and nonlinear resonance response for the deformed structures were calculated using proposed FEM. In the numerical analysis, both ends of the beam structures were assumed to be clamped. The calculated results for straight beams using FEM were consistent with the theoretical results carried previously by authors. Further, influences of self-weight on resonance response of a structure, which was comprised of three straight beams, were clarified.
