Research Article
A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions
Table 4
Comparison of the first five nondimensional frequency parameters
for an open cylindrical shell with C-F-C-F boundary condition.
| | Modes | | | | Ref. [29] | Ref. [37] | Present | Ref. [29] | Ref. [37] | Present | Ref. [29] | Ref. [37] | Present |
| 30° | 1 | 0.120 | 0.120 | 0.120 | 0.046 | 0.046 | 0.046 | 0.025 | 0.025 | 0.025 | 2 | 0.169 | 0.169 | 0.169 | 0.054 | 0.054 | 0.054 | 0.028 | 0.028 | 0.028 | 3 | 0.281 | 0.280 | 0.281 | 0.100 | 0.101 | 0.101 | 0.059 | 0.059 | 0.059 | 4 | 0.330 | 0.327 | 0.331 | 0.132 | 0.132 | 0.132 | 0.066 | 0.066 | 0.066 | 5 | 0.338 | 0.337 | 0.339 | 0.167 | 0.167 | 0.167 | 0.094 | 0.095 | 0.095 |
| 60° | 1 | 0.142 | 0.141 | 0.142 | 0.061 | 0.061 | 0.061 | 0.031 | 0.031 | 0.031 | 2 | 0.153 | 0.151 | 0.153 | 0.068 | 0.069 | 0.069 | 0.054 | 0.054 | 0.054 | 3 | 0.305 | 0.300 | 0.305 | 0.118 | 0.119 | 0.119 | 0.074 | 0.074 | 0.075 | 4 | 0.305 | 0.303 | 0.305 | 0.128 | 0.129 | 0.129 | 0.078 | 0.078 | 0.078 | 5 | 0.308 | 0.303 | 0.309 | 0.185 | 0.187 | 0.188 | 0.106 | 0.106 | 0.106 |
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