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《Journal of Earthquake Engineering and Engineering Vibration》 2013-01
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Combination resonance of finite-length beam on Winkler foundation

ZHAO Yueyu,JIN Yiming,MA Jianjun,ZHAO Yaobing(College of Civil Engineering,Hunan University,Changsha 410082,China)  
In this paper,based on Winkler foundation model and Euler-Bernoulli beam theory,the combination resonance model of the finite-length beam on Winkler foundation under two excitation forces is built.Then,amplitude-frequency response equation is derived by using Galerkin method and multi-scale method.Finally,various amplitude-frequency response curves are given to show the effect of kinds of parameters on response amplitude,such as stiffness coefficient of foundation,modulus of elasticity,damping coefficient,excitation amplitude and so on.The numerical results show that the amplitude of vibration decreases as the strength of stiffness coefficient of foundation,modulus of elasticity or damping coefficient increases.Nevertheless,decreasing the excitation amplitude will decrease the vibration amplitude of the beam.In addition,damping coefficient has little effect on the resonance field.
【Fund】: 国家自然科学基金资助项目(11032004 50808075 10972073 11002030 11102063);; 湖南省科技计划资助项目(2010FJ4145)
【CateGory Index】: TU348
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