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Additional info for From Waves in Complex Systems to Dynamics of Generalized Continua: Tributes to Professor Yih-Hsing Pao on His 80th Birthday
7(f), and this band determines the bottom edge of the first complete band gap. The displacement distribution shows a circular polarization pattern on the plate at x3=h/2, and this band is excitable by the x2-polarized source. The next mode, mode G, is shown in Fig. 7(g) and exists between the two complete band gaps. The displacement fields of two slices a-a' and b-b' are plotted, respectively, in order to show the polarization clearly. Basically, the displacement field shows the property as a flexural mode in a plate, similar to the case shown in Fig.
Pao, F. Ziegler and Y. S. 1414-1426. 96. -C. -H. Pao, 1989, “ ”, Doctoral Dissertation, National Taiwan University. 97. -H. Pao, T. T. Wu and U. , T. T. Wu, M. -H. 18-23. 98. P. -H. Pao and K. 193-221. 99. X. Y. -H. 351-368. 100. M. -H. Pao and W. 301-312. 101. -H. Pao and D. C. 157-165. 102. -H. 141-153. 103. S. M. -H. 884-891. 104. -H. Pao and G. S. -C. -C. -H Pao, M. H. Schultz and A. D. Pierce, World Scientific, Singapore (presented in the 3rd International Conference on Theoretical and Computational Acoustics, 1997).
6. (a) Setup of the unit cell of the phononic plate in using the FDTD method. 57 Lamb Waves in Phononic Band Gap Structures 23 the eigenmodes are coupled, and they are identified as flexural (antisymmetric), longitudinal (symmetric), and transverse (shear horizontal) waves such as Lamb waves in classical plates. In order to investigate the wave modes in the dispersion relation, the transmission of the waves and the polarization of the specific modes were analyzed. First, to launch a wide frequency wave packet along the ΓX direction, x2 and x3 polarized line sources were defined on the plate surface.