than in 2D problems. An orthogonal frequency dependent basis may be written as follows , (4.17) is the polar angle and is the azimuthal angle. ϕ θ In Figure 4.25, the wave profile obtained by using LBIE for and ht=0 is k=5 given. In the subsequent figures, the wave profile on the same surface is plotted along the line mm, 75 mm], y=50 mm. x=[25 Figure Wave profile on the top surface of the thin for and ht=0. k=5 In Figure 4.26, the pressure wave profile along the line [25 mm, 75 mm], y=50 x= mm is plotted for the null thickness case. It can be observed that the LBIE methods produce very similar results. The COMSOL result indicates slightly higher wave amplitude. Figure Pressure wave profile along the line (x=[25 mm, 75 mm], y=50 mm, z=30mm) for and ht=0. k=5 In Figure 4.27, the pressure wave profile along the line [25 mm, 75 mm], x= y=50 mm is plotted for 1mm thick plate. It can be observed that the LBIE methods
than in 2D problems. An orthogonal frequency dependent basis may be written as follows , (4.17) ϕ is the polar angle and θ is the azimuthal angle. In Figure 4.25, the wave profile obtained by using LBIE for k=5 and ht=0 is given. In the subsequent figures, the wave profile on the same surface is plotted along the line x=[25 mm, 75 mm], y=50 mm. Figure Wave profile on the top surface of the thin for k=5 and ht=0. In Figure 4.26, the pressure wave profile along the line x= [25 mm, 75 mm], y=50 mm is plotted for the null thickness case. It can be observed that the LBIE methods produce very similar results. The COMSOL result indicates slightly higher wave amplitude. Figure Pressure wave profile along the line (x=[25 mm, 75 mm], y=50 mm, z=30mm) for k=5 and ht=0. In Figure 4.27, the pressure wave profile along the line x= [25 mm, 75 mm], y=50 mm is plotted for 1mm thick plate. It can be observed that the LBIE methods
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