Free Vibration Analysis of Plate Structures Using Finite Element-Transfer Stiffness Coefficient Method

  • Park, Myung-Soo (Department of Control & Mechanical Engineering, Division of Mechanical Engineering, Pukyong National University)
  • 발행 : 2003.06.01

초록

In order to execute efficiently the free vibration analysis of 2-dimensional structures like plate structures, the author developed the finite element-transfer stiffness coefficient method. This method is based on the combination of the modeling techniques in the FEM and the transfer technique of the stiffness coefficient in the transfer stiffness coefficient method. Numerical results of the simply supported and the elastic supported rectangular plates showed that the present method can be successfully applied to the free vibration analysis of plate structures on a personal computer. We confirmed that, in the case of analyzing the free vibration of rectangular plate structures, the present method is superior to the FEM from the viewpoint of computation time and storage.

키워드

참고문헌

  1. Cheung, Y. K., 1976, Finite Strip Method in Structural Analysis, Pergamon Press, Oxford
  2. Cheung, Y. K. and Leung, A. Y. T., 1991, Finite Element Methods in Dynamics, Kluwer Academic, London
  3. Doyle, J. F., 1997, Wave Propagation in Structures : Spectral Analysis Using Fast Discrete Fourier Transforms, 2nd edition, Springer-Verlag, New York, pp. 150-197
  4. Dokainish, M. A., 1972, 'A New Approach for Plate Vibrations: Combination of Transfer Matrix and Finite Element Technique,' Trans. of the ASME Journal of Engineering for Industry, Vol. 94, pp. 526-530 https://doi.org/10.1115/1.3428185
  5. Geradin, M. and Chen, S. L., 1995, 'An Exact Model Reduction Technique for Beam Structures: Combination of Transfer and Dynamic Stiffness Matrices,' J. of Sound and Vibration, Vol. 185, No. 3, pp. 431-440 https://doi.org/10.1006/jsvi.1995.0390
  6. Gerald, C. F. and Wheatley, P. O., 1989, Applied Numerical Analysis, 4th edition, Addison Wesley, New York
  7. Horner, G. C. and Pilkey, W. D., 1978, 'The Riccati Transfer Matrix Method,' Trans. of the ASME Journal of Mechnical Design, Vol. 100, pp. 297-302 https://doi.org/10.1115/1.3453915
  8. Kondou, T., Ayabe, T. and Sueoka, A., 1996, 'Transfer Stiffness Coefficient Method Combined with the Concept of Substructure Synthesis Method( Linear Free and Forced Virbration Analyses of a Straight- Line Beam Structure),' Trans. of the Japan Society of Mechanical Engineering (C), Vol. 62, No. 596, pp. 1277-1284 https://doi.org/10.1299/kikaic.62.1277
  9. Lee, D. M., Choi M. J. and Oh T. Y., 1996, 'Transfer Matrix Modelling for the 3-Dimensional Vibration Analysis of Piping System Containig Fluid Flow,' KSME Inter. J., Vol. 10, No. 2, pp. 180-189 https://doi.org/10.1007/BF02953657
  10. Lee, U. and Lee, J., 1998, 'Vibration Analysis of the Plates Subject to Distrbuted Dynamic Loads by Using Spectral Element Method,' KSME Inter. J., Vol. 12, No. 4, pp. 565-571 https://doi.org/10.1007/BF02945717
  11. Lee, U., 2000, 'Vibration Analysis of One-Dimensional Structures Using the Spectral Transfer Matrix Method,' Engineering Structures, Vol. 22, No. 6, pp. 681-690 https://doi.org/10.1016/S0141-0296(99)00002-4
  12. Liu, W. H. and Huang, C. C., 1992, 'Vibration Analysis of Folded Plates,' J. of Sound and Vibration, Vol. 157, No. 1, pp. 123-137 https://doi.org/10.1016/0022-460X(92)90570-N
  13. Moon, D. H. and Choi, M. S., 1999, 'Vibration Analysis of Structures Having Various Connection Parts Using Transfer of Stiffness Coefficient,' Trans. of the KSME, Vol. 23, No. 2, pp. 344-356
  14. Moon, D. H. and Choi, M. S., 2000, 'Vibration Analysis for Frame Structures Using Transfer of Dynamic Stiffness Coefficient Method,' J. of Sound and Vibration, Vol. 234, No. 5, pp. 725-736 https://doi.org/10.1006/jsvi.1999.2970
  15. Ohga, M., Shigematsu, T. and Hara, T., 1993, 'A Finite Element-Transfer Matrix Method for Dynamic Analysis of Frame Structures,' J. of Sound and Vibration, Vol. 167, No. 3, pp. 401-411 https://doi.org/10.1006/jsvi.1993.1344
  16. Pestel, E. C. and Leckie, F. A., 1963, Matrix Methods in Elastomechanics, McGraw-Hill, New York
  17. Petyt, M., 1990, Introduction to Finite Element Vibration Analysis, Cambridge university, New York
  18. Sehmi, N. S., 1989, Large Order Structural Eigenanalysis Techniques Algorithm for Finite Element Systems, Ellis Horwood, New York
  19. Timoshenko, S. and Young, D. H., 1974, Vibration Problems in Engineering, John Wiley & Sons, New York
  20. Xue, H., 1997, 'A Combined Finite Element Riccati Transfer Matrix Method in Frequency Domain for Transient Structural Response,' Computers and Structures, Vol. 62, No. 2, pp. 215-220 https://doi.org/10.1016/S0045-7949(96)00192-7
  21. Yuhua, C., 1995, 'Large Deflection Analysis of Structures by an Improved Combined Finite Element-Transfer Matrix Method,' Computers and Structures, Vol. 55, No. 1, pp. 167-171 https://doi.org/10.1016/0045-7949(94)00414-X