Research Article
A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions
Table 18
Comparison of frequency parameters
for a closed conical shell with different boundary conditions (
).
| BC | Method | | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| SD-SD | Ref. [16] | 0.2234 | 0.5462 | 0.6309 | 0.5061 | 0.3941 | 0.3337 | 0.3235 | 0.3510 | Ref. [18] | 0.2233 | 0.5463 | 0.6310 | 0.5062 | 0.3942 | 0.3340 | 0.3239 | 0.3514 | Ref. [27] | 0.2230 | 0.5460 | 0.6308 | 0.5061 | 0.3941 | 0.3336 | 0.3232 | 0.3504 | Ref. [48] | 0.2233 | 0.5461 | 0.6308 | 0.5062 | 0.3941 | 0.3337 | 0.3233 | 0.3505 | Present | 0.2233 | 0.5461 | 0.6309 | 0.5062 | 0.3942 | 0.3339 | 0.3238 | 0.3515 |
| SD-C | Ref. [16] | 0.8691 | 0.8113 | 0.6610 | 0.5244 | 0.4316 | 0.3822 | 0.3732 | 0.3980 | Ref. [18] | 0.8700 | 0.8118 | 0.6613 | 0.5246 | 0.4319 | 0.3826 | 0.3737 | 0.3987 | Ref. [27] | 0.8693 | 0.8115 | 0.6611 | 0.5245 | 0.4317 | 0.3823 | 0.3731 | 0.3977 | Ref. [48] | 0.8694 | 0.8115 | 0.6611 | 0.5246 | 0.4318 | 0.3824 | 0.3732 | 0.3978 | Present | 0.8697 | 0.8117 | 0.6612 | 0.5246 | 0.4318 | 0.3822 | 0.3720 | 0.3948 |
| C-C | Ref. [16] | 0.8732 | 0.8120 | 0.6696 | 0.5428 | 0.4565 | 0.4088 | 0.3961 | 0.4141 | Ref. [18] | 0.8732 | 0.8120 | 0.6696 | 0.5428 | 0.4566 | 0.4089 | 0.3963 | 0.4143 | Ref. [27] | 0.8726 | 0.8117 | 0.6694 | 0.5426 | 0.4563 | 0.4085 | 0.3956 | 0.4133 | Ref. [48] | 0.8726 | 0.8117 | 0.6694 | 0.5427 | 0.4564 | 0.4086 | 0.3958 | 0.4135 | Present | 0.8729 | 0.8119 | 0.6695 | 0.5427 | 0.4565 | 0.4088 | 0.3960 | 0.4139 |
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