Research Article
Free Transverse Vibration of Circular Plate of Stepped Thickness with General Boundary Conditions by an Improved Fourier–Ritz Method
Table 4
Dimensionless frequency parameters with
for stepped circular Mindlin plate with clamped boundary condition
.
| h1/h2 | Modal number | Present | FEM | Xiang and Zhang [10] |
| 0.4 | 1 | 10.125 | 10.129 | — | 2 | 17.014 | 17.021 | — | 3 | 23.562 | 23.570 | — | 4 | 27.450 | 27.462 | — | 5 | 39.128 | 39.140 | — |
| 0.8 | 1 | 10.067 | 10.073 | — | 2 | 19.138 | 19.145 | — | 3 | 30.019 | 30.025 | — | 4 | 32.816 | 32.823 | — | 5 | 46.235 | 46.242 | — |
| 1.5 | 1 | 10.652 | 10.658 | 10.6655 | 2 | 21.713 | 21.719 | 21.7095 | 3 | 35.486 | 35.495 | 35.0502 | 4 | 41.583 | 41.591 | 41.5770 | 5 | 50.386 | 50.397 | 50.3801 |
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