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

Table 3

Comparison of the frequency parameter for a circular cylindrical shell with some elastic-support boundary conditions ( = 1 m, = 20, = 0.01, = 1).

Reference [28]	Present	Reference [28]	Present	Reference [28]	Present	Reference [28]	Present	Reference [28]	Present	Reference [28]	Present
1	0.021812	0.020328	0.027104	0.025721	0.021669	0.020163	0.033157	0.031534	0.026984	0.025467	0.021527	0.020004
2	0.011674	0.010301	0.012695	0.011816	0.011471	0.010301	0.013957	0.013881	0.012457	0.011816	0.011272	0.010301
3	0.022463	0.022211	0.022558	0.02239	0.02244	0.022209	0.022673	0.022667	0.022531	0.022387	0.022418	0.022206
4	0.042178	0.04212	0.042193	0.042156	0.042175	0.042118	0.042209	0.042208	0.04219	0.042154	0.042172	0.042117
5	0.068038	0.067936	0.068043	0.068031	0.068037	0.067936	0.068048	0.068046	0.068042	0.06803	0.068037	0.068016
6	0.099745	0.099736	0.099747	0.099742	0.099745	0.099735	0.099748	0.099749	0.099746	0.099741	0.099745	0.099735
7	0.137248	0.137243	0.137249	0.137247	0.137248	0.137243	0.13725	0.137251	0.137249	0.137246	0.137248	0.137243
8	0.180534	0.180532	0.180535	0.180534	0.180534	0.180532	0.180535	0.180536	0.180535	0.180534	0.180534	0.180531
9	0.229599	0.229598	0.229599	0.229599	0.229599	0.229598	0.229599	0.229601	0.229599	0.229599	0.229599	0.229598
10	0.284439	0.28444	0.284439	0.284441	0.284439	0.28444	0.284441	0.284442	0.284439	0.284441	0.284439	0.284440