Research Article

Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray Matrix

Table 2

Comparison of the frequency parameter for a circular cylindrical shell with some classical boundary conditions ( = 1 m, , , = 1).

SS-SSCE-SSCE-CE
Reference [7]Reference [28]Reference [13]PresentReference [7]Reference [28]Reference [13]PresentReference [7]Reference [28]Reference [13]Present

10.016101 0.016103 0.016101 0.016101 0.023974 0.024065 0.024721 0.023930 0.032885 0.033176 0.034879 0.032792
20.009382 0.009388 0.009382 0.009382 0.011225 0.011238 0.011281 0.011215 0.013932 0.013970 0.014052 0.013902
30.022105 0.022108 0.022105 0.022105 0.022310 0.022314 0.022335 0.022309 0.022672 0.022677 0.022725 0.022667
40.042095 0.042097 0.042095 0.042095 0.042139 0.042141 0.042166 0.042139 0.042208 0.042210 0.042271 0.042208
50.068008 0.068008 0.068008 0.068008 0.068024 0.068026 0.068054 0.068025 0.068046 0.068048 0.068116 0.068046
60.099730 0.099730 0.099731 0.099731 0.099738 0.099739 0.099771 0.099739 0.099748 0.099749 0.099823 0.099749
70.137239 0.137239 0.137240 0.137240 0.137244 0.137244 0.137279 0.137245 0.137249 0.137250 0.137328 0.137251
80.180527 0.180528 0.180527 0.180530 0.180531 0.180531 0.180569 0.180533 0.180535 0.180535 0.180617 0.180536
90.229594 0.229594 0.229596 0.229596 0.229596 0.229596 0.229636 0.229599 0.229599 0.229600 0.229684 0.229601
100.284435 0.284436 0.284438 0.284439 0.284437 0.284438 0.284478 0.284440 0.284439 0.284441 0.284526 0.284442