Research Article
Free Transverse Vibration of Circular Plate of Stepped Thickness with General Boundary Conditions by an Improved Fourier–Ritz Method
Table 3
Dimensionless frequency parameters
for stepped circular Mindlin plate with simply supported boundary condition
.
| | h1/h2 | Modal number | Present | FEM | Xiang and Zhang [10] |
| | 0.4 | 1 | 4.016 | 4.021 | — | | 2 | 9.875 | 9.881 | — | | 3 | 19.085 | 19.090 | — | | 4 | 20.012 | 20.021 | — | | 5 | 32.517 | 32.529 | — |
| | 0.8 | 1 | 4.692 | 4.698 | — | | 2 | 12.276 | 12.282 | — | | 3 | 22.135 | 22.134 | — | | 4 | 27.256 | 27.265 | — | | 5 | 37.635 | 37.647 | — |
| | 1.5 | 1 | 5.671 | 5.679 | 5.68854 | | 2 | 14.483 | 14.490 | 14.4923 | | 3 | 27.012 | 27.021 | 26.9433 | | 4 | 32.685 | 32.696 | 32.6687 | | 5 | 41.198 | 41.208 | 41.1944 |
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