한국소음진동공학회논문집 (Transactions of the Korean Society for Noise and Vibration Engineering)

  • 제11권8호
  • /
  • Pages.357-363
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  • 2001
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  • 1598-2785(pISSN)
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  • 2287-5476(eISSN)
한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
권호 표지

Differential Transformation에 의한 가변 2 파라미터 탄성기초에 설치된 보의 진동해석

Vibration Analysis for Beams on Variable Two-Parameter Elastic Foundations Using Differetial Transformation

  • 발행 : 2001.11.01
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초록

This paper presents the application of the technique Q( differential transformation to the vibration analysis of beams resting on variable two-parameter elastic foundations. The closed form series solutions for beams are obtained for various boundary conditions. Numerical calculations are carried out and compared with previously published results. The results obtained by the present method agree very well with those reported in the previous works. The present analysis shows the usefulness and validity of differential transformation in solving nonlinear problem of the free vibration.

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참고문헌

  1. Journal of Engineering Mechanics v.109 Beam Elements on Two-Parameter Elastic Foundations Zhaohua, F.;Cook, R. D.
  2. Uchenyei Zapiski Moskovoskogo Gosudarstuennogo Universiteta Mechanika, U. S. S. R. v.46 Some Approximate Theories of the Elastic Foundation Filomenko-Borodich, M. M.
  3. Gosudarsvennoe Izdatelstvo Literaturi po Stroitelstvu i Arkhitekure On a New Method of Analysis of an Elastic Foundation by Means of Two Foundation Constants Pasternak, P. L.
  4. Israel Program for Scientific Translation Beams, Plates and Shells on Elastic Foundation Vlasov, V. Z.;Leontev, U. N.
  5. Earthquake Engineering and Structural Dynamics v.18 Stability and Dynamics of Beams on Winkler Foundations Rosa, M. A. De.
  6. Journal of Soudn and Vibration v.185 no.2 An Exact Frequency Equation for an Axially Loaded Beam-Mass-Spring System Resting on a Winkler Elastic Foundation Farghaly, S. H.;Zeid, K. M.
  7. Journal of Sound and Vibration v.124 no.1 A Further Note on the Free Vibrations of Beams Resting on an Elastic Foundation Maurizi, M. J.;Rosales, M.;Belles, P.
  8. Earthquake Engineering and Structural Dynamics v.16 Vibration of Beam-Columns on Two-Parameter Elastic Foundations Valsangkar, A. J.;Pradhanang, R.
  9. Computers and Structures v.57 no.1 Free Vibrations of Timoshenko Beams on Two-Parameter Elastic Foundation Rosa, M. A. De.
  10. Journal of Sound and Vibration v.176 no.5 Vibration Frequencies for Beams on Variable One-and Two-Parameter Elastic Foundations Eisenberger, M.
  11. Differential Transformation and Its Application for Electrical Circuits Zhou, J. K.
  12. Applied Mathematics and Computation v.79 Application of Differential Transformation to Eigenvalue Problems Chen, C. K.;Ho, S. H.
  13. Applied Mathematics and Computation v.96 Vibration Analysis of Continuous Systems by Differential Transformation Moinuddin, M.;Hao, H. D.
  14. Journal of Sound and Vibration v.233 no.2 Characteristic Equations of Rectangular Plates by Differential Transformation Malik, M.;Allali, M.
  15. Journal of Sound and Vibration v.233 no.3 Free Vibration Analysis on Non-Homogeneous Rectangular Membranes Using a Hybrid Method Ho, S. H.;Chen, C. K.