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. and Lee, J. M., 1999, “Vibration Analysis of Arbitrarily Shaped Membrane Using Non-dimensional Dynamics Influence Function,” Journal of Sound and Vibration, Vol. 221, 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., 2000, “Eigenmode Analysis of Arbitrarily Shaped Twodimensional Cavities by the Method of Pointmatching,” Journal of the Acoustical Society of America, Vol. 107, No. 3, pp. 1153-1160 https://doi.org/10.1121/1.428456
- 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. 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. and Lee J. M., 2002, “Free Vibration Analysis of Composite Rectangular Membranes with an Oblique Interface,” Journal of Sound and Vibration, Vol. 251, No. 3, pp. 505-517 https://doi.org/10.1006/jsvi.2001.4015
- Kang, S. W., Kim, I. S. and Lee, J. M., 2003, “Free Vibration Analysis of Arbitrarily Shaped Plates with Free Edges Using Non-dynamic Influence Functions,” Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 13, No. 10, pp. 821-827 https://doi.org/10.5050/KSNVN.2003.13.10.821
- Kang, S. W. 2004, “Free Vibration Analysis of Composite Rectangular Membranes with a Bent Interface,” Journal of Sound and Vibration, Vol. 272, No. 1, pp. 39-5 https://doi.org/10.1016/S0022-460X(03)00305-5
- Kang, S. W. and Lee, J. M., 2004, “Free Vibration Analysis of an Unsymmetric Trapezoidal Membrane,” Journal of Sound and Vibration, Vol. 272, No. 2, pp. 450-460 https://doi.org/10.1016/S0022-460X(03)00798-3
- Kang, S. W., 2007, “Free Vibration Analysis of Clamped Plates with Arbitrary Shapes Using Series Functions,” Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 13, No. 10, pp. 531-538 https://doi.org/10.5050/KSNVN.2007.17.6.531
- 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 Korean 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, Transaction of ASME, Vol. 130, No. 4, pp. 041010.1-041010.8
- Kang, S. W. and Atluri, S. N., 2008, “Development of Meshless Method for Free Vibration Analysis of Arbitrarily Shaped Free Plates Using Local Polar Coordinates,” Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 18, No. 6, pp. 674-680 https://doi.org/10.5050/KSNVN.2008.18.6.674
- Kang, S. W. and Kim, S. H., 2008, “Vibration Analysis of Simply Supported Rectangular Plates with Unidirectionally, Arbitrarily Varying Thickness,” Journal of Sound and Vibration, Vol. 312, pp. 551-562 https://doi.org/10.1016/j.jsv.2007.12.032
- Nardini, D. and Brebbia C. A., 1982, “A New Approach to Free Vibration Analysis Using Boundary Elements,” Applied Mathematical Modeling. Vol. 7, No. 3, pp. 157-162
- Banerjee, P. K. and Ahmad, S., 1988, “A New Approach for the Acoustic Eigenfrequency Analysis,” International Journal of Numerical Methods Engineering, Vol. 26, pp. 1299-1309 https://doi.org/10.1002/nme.1620260606
- Blevins, R. D., 1979, “Formulas for Natural Frequency and Mode Shape,” Litton Educational Publishing, New York
- Conway, H. D. and Farnham, K. A., 1965, “The Free Flexural Vibration of Triangular, Rhombic and Parallelogram Plates and Some Analogies,” International Journal of Mechanical Sciences, Vol. 7, pp. 811-816 https://doi.org/10.1016/0020-7403(65)90034-2
- Spiegel, M. R., 1983, “Advanced Mathematics,” McGraw-Hill, Inc, Singapore
- Gohberg, I., Lancaster, P. and Rodman, L., 1982, “Matrix Polynomials,” Academic Press, New York
- Ruhe, A., 1973, “Algorithms for the Nonlinear Eigenvalue Problem,” Journal of Numerical Analysis. Vol. 10, pp. 674-689 https://doi.org/10.1137/0710059
- Davis, G. J., 1981, “Numerical Solution of a Quadratic Matrix Equation,” Journal of Scientific Computing, Vol. 2, pp. 164-175 https://doi.org/10.1137/0902014
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