References
- Bathe, K., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall, New Jersey.
- Brebbia, C. A., Telles, J. C. F. and Wrobel, L. C., 1984, Boundary Element Techniques, Springer- Verlag, New York.
- Kang, S. W., Lee, J. M. and Kang, Y. J., 1999, Vibration Analysis of Arbitrarily Shaped Membrane Using Non-dimensional Dynamics Influence Function, Journal of Sound and Vibration. Vol. 221, No. 1, pp. 117-132. https://doi.org/10.1006/jsvi.1998.2009
- Kang, S. W. and Lee, J. M., 2000, Application of Free Vibration Analysis of Membranes Using the Non-dimensional Dynamics Influence Function, Journal of Sound and Vibration. Vol. 234, No. 3, pp. 455-470. https://doi.org/10.1006/jsvi.1999.2872
- Kang, S. W. and Lee, J. M., 2001, Free Vibration Analysis of Arbitrarily Shaped Plates with Clamped Edges using Wave-type Functions, Journal of Sound and Vibration, Vol. 242. No, 1, pp. 9-26. https://doi.org/10.1006/jsvi.2000.3347
- Kang, S. W., 2002, Free Vibration Analysis of Arbitrarily Shaped Plates with a Mixed Boundary Condition using Non-dimensional Dynamic Influence Functions, Journal of Sound and Vibration, Vol. 256, No. 3, pp. 533-549. https://doi.org/10.1006/jsvi.2002.5009
- Kang, S. W., 2007, Free Vibration Analysis of Arbitrarily Shaped Polygonal Plates with Free Edges by Considering the Phenomenon of Stress Concentration at Corners, Transactions of the Korea Society for Noise and Vibration Engineering, Vol. 17, No. 3, pp. 220-225. https://doi.org/10.5050/KSNVN.2007.17.3.220
- Kang, S. W., Kim, I. S. and Lee, J. M., 2008, Free Vibration Analysis of Arbitrarily Shaped Plates with Smoothly Varying Free Edges Using NDIF Method, Journal of Vibration and Acoustics, Vol. 130, No. 4, pp. 041010.1-041010.8.
- Kang, S. W. and Yoon, J. I., 2012, Development of the NDIF Method Using a Sub-domain Method Approach for Extracting Highly Accurate Natural Frequencies of Arbitrarily Shaped Plates, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 22, No. 9, pp. 830-836. https://doi.org/10.5050/KSNVE.2012.22.9.830
- Kang, S. W. and Kim, J. G., 2009, A Formulation of NDIF Method to the Algebraic Eigenvalue Problem for Efficiently Extracting Natural Frequencies of Arbitrarily Shaped Plates with the Simply Supported Boundary Condition, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 19, No. 6, pp. 607-613. https://doi.org/10.5050/KSNVN.2009.19.6.607
- Blevins, R. D., 1979, Formulas for Natural Frequency and Mode Shape. Litton Educational Publishing, New York.
- Spiegel, M. R., 1983, Advanced Mathematics, McGraw-Hill, Inc, Singapore.
- Meirovitch, L., 1967, Analytical Methods in Vibrations, Macmillan Publishing, New York.
- Gohberg, I., Lancaster, P. and Rodman, L., 1982, Matrix Polynomials, Academic Press, New York.
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