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《Journal of Vibration and Shock》 2015-04
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Tests for frequency response features of a beam structure under nonlinear boundaries

ZHAO Huan-di;WANG Jun;CHEN Li-fen;Department of Mechanics and Engineering Science,Fudan University;  
Tests for frequency response features of a beam structure under nonliear boundaries were conducted here. The test rig consisted of a linear cantilever main beam with a rectangular cross-section and two thin identical sheet beams connected at the main beam's free end and being perpendicular to the main beam to form a T-type structure. The different nonlinear supports at the one end of the main beam were formed by inserting steel rulers with different thicknesses into the ends of the sheet beams. The different pre-deformation levels of the sheet beams change the main beam's equilibrium position. The test results showed that with the variation of pre-deformation and external excitation amplitude,the frequency response features of the main beam reveal a complex evolution process among soft characteristic,hard one and linear one. The further theoretical analysis showed that the pre-deformation makes the beam's dynamic governing equations contain square and cubic nonliear terms. The results of numerical simulation agreed well with those of tests,they demonstrated that the pre-defoemation and external excitation amplitude have a significant effect on the beam's frequency response features.
【Fund】: 国家自然科学基金资助项目(11172067)
【CateGory Index】: O342
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