Research Article
Free Transverse Vibration of Circular Plate of Stepped Thickness with General Boundary Conditions by an Improved Fourier–Ritz Method
Table 2
Dimensionless frequency parameters
for stepped circular Mindlin plate with free boundary condition
.
| | h1/h2 | Modal number | Present | FEM | Xiang and Zhang [10] |
| | 0.4 | 1 | 4.352 | 4.355 | — | | 2 | 6.528 | 6.532 | — | | 3 | 11.015 | 11.020 | — | | 4 | 14.602 | 14.606 | — | | 5 | 15.192 | 15.198 | — |
| | 0.8 | 1 | 4.876 | 4.880 | — | | 2 | 8.623 | 8.627 | — | | 3 | 11.641 | 11.647 | — | | 4 | 18.371 | 18.378 | — | | 5 | 21.534 | 21.542 | — |
| | 1.5 | 1 | 6.892 | 6.898 | 6.88138 | | 2 | 11.432 | 11.440 | 11.4342 | | 3 | 13.386 | 13.493 | 13.3881 | | 4 | 21.672 | 21.681 | 21.6542 | | 5 | 22.268 | 22.380 | 22.2602 |
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