Study on the dynamic behaviors of curved beam structure using spectral element

스펙트럴 요소를 이용한 곡선 보 구조물의 동적거동 해석

  • 이준근 (인하대학교, 기계공학과) ;
  • 이우식 (인하대학교 공과대학 기계공학과) ;
  • 박철희 (인하대학교 공과대학 기계공학과)
  • Published : 1996.02.01

Abstract

The significance of spectral element method is that it can treat the mass and stiffness distribution exactly in contrast to the conventional finite element method, and therefore the dynamic behaviors within each spectral element can be obtained exactly. The present study provides the derivation of the spectral element of a curved beam, while the previous ones presented that of a straight structure. Further, in order to verify the derived spectral element, the natural frequencies of a ring by the spectral element method are compared with those by the analytical method and those by the FEM. From the verification, derived spectral element is admissible. And the dynamic behaviors of curved beam are simulated by using the derived spectral element of a curved beam.

Keywords

References

  1. Wave Propagation in Elastic Solids Achenbach, J. D.
  2. Defect Characterization Potential Via Guided Waves, Ph. D. Dissertation, Pennsyvania State University Cho, Y.
  3. International Journal of Analytical and Experimental Modal Analysis v.3 no.1 A Spectrally Formulated Finite Element for Longitudinal Wave Propagation Doyle, J. F.
  4. Journal of Sound and Vibration v.58 no.1 A Matrix Methodology for Spectral Analysis of Wave Propagation in Multiple Connected Timoshenko Beams Gopalakrishnan, S.;Martin, M.;Doyle, J. F.
  5. Journal of Sound and Vibration v.175 no.3 Wave Propagation in Connected Waveguides of Varying Cross-Section Gopalakrishnan, S.;Doyle, J. F.
  6. Wave Propagation in Structure : FFT-based Spectral Analysis Methodology Doyle, J. F.
  7. Vibrations of Shells and Plates(2nd) Soedel, w.