Approximate algorithm of fundamental frequency of pier constrained by bridge beam
  
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DOI:10.7511/jslx20085135
KeyWord:constrained by bridge,pier,energy method,fundamental frequency
WANG Jun  LIU Wei-qing  WANG Feng-quan
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Abstract:
      Because effect of upper bridge to longitudinal vibration of pier could not be neglected,fundamental frequency calculation formulas of pier restrained on its top by bridge beam were derived based on energy method.Fundamental frequency was presented as a composition of frequencies of several subsystem,which consisted of a deformation component and an inertia component.Inertia components include distributed mass of pier and attachment mass of upper structure while deformation components include constraint deformation,flexural deformation and shear deformation.Then FEM was used to verify the proposed method,and influence of factors on fundamental frequency such as upper structure longitudinal constraint and counterweight on top of pier were discussed.It is demonstrated that the algorithm is accuracy enough to meet the needs of practice.