A modal analysis for a hung Euler-Bernoulli beam with a lumped mass

  • Kasahara, Misawa (Tokyo Metropolitan Institute of Technology, Department of Electronic Systems Engineering) ;
  • Kojima, Akira (Tokyo Metropolitan Institute of Technology, Department of Electronic Systems Engineering) ;
  • Ishijima, Shintaro (Tokyo Metropolitan Institute of Technology, Department of Electronic Systems Engineering)
  • Published : 1992.10.01

Abstract

In this paper, a modal analysis is applied for a hung Euler-Bernoulli beam with a lumped mass. We first derive the equations of motion using the Hamilton's principle. Then regarding the tension of beam as constant, we characterize the eigenfrequencies and the feature of eigenfunctions. The approximation employed here is corresponding that the lumped mass is sufficiently large than that of beam. Finally we compare the eigenfrequencies derived here with those obtained based on the Southwell's method.

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