Analysis of vibration in L- and H-shaped planar frame structures using transfer function

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Abstract

This paper analyzed the vibration of planar frame structures using the transfer function, which is obtained as the Laplace transform of Green's function. The transfer function was used to represent the relationship between the excitation (including the initial and boundary conditions) and the response of the system; that is, it can determine the vibration response and stability of the system. The frame was divided into several joint blocks with substructures (beams). A state-space matrix form was used to represent the equation of motion in the beams. The compatibility between the joint blocks and beams allows us to establish the characteristic matrix of the frame, of which the determinant is the characteristic equation. With the eigenvalues obtained as the roots of the characteristic equation, one can establish the eigenfunction of the frame. The receptance of the structure with a single point excitation was also studied. The application of the transfer function to analysis of the L- and H-shaped planar frame structures was conducted in this paper. The results agree well with those published in the literature.

Original languageEnglish
Article number1750067
JournalInternational Journal of Structural Stability and Dynamics
Volume17
Issue number6
DOIs
Publication statusPublished - 2017 Aug 1

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Building and Construction
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics

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