A Study on the Free Vibration of the Helically Curved Members

나선형(螺旋形) 곡선부재(曲線部材)의 자유진동(自由振動)에 관한 연구(研究)

  • Received : 1988.04.29
  • Published : 1988.06.30

Abstract

The curved structures in space, such as multi-level inter-changes, ramped structures, and circular curved structures etc., are modelled as helically curved members with constant helix angle in this study. Equilibrium equations are derived, considering the geometrical properties and initial curvatures of helix. Modal equations of the simply supported helically curved members which can calculate the normalized natural frequencies are derived from these equations by assuming the modal shape function. These equations are used to calculate the normalized natural frequencies of the simply supported helically curved members and verify the distribution of the natural frequencies of them.

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