Shock and Vibration / 2015 / Article / Tab 14 / Research Article
Three-Dimensional Vibration Analysis of Isotropic and Orthotropic Open Shells and Plates with Arbitrary Boundary Conditions Table 14 The first five frequency parameters
of an open isotropic spherical shell with various boundary conditions and meridian dimensions (
,
,
m,
,
GPa, and
).
Mode Boundary conditions FFFF FFFC CFFFF FSFS FCFC SFSF SSSS SCSC CFCF CSCS CCCC 1 0.3396 0.0736 1.2127 0.3772 0.3464 0.7931 1.1614 1.1952 3.0624 3.2486 3.3176 2 0.5312 0.0951 1.2320 0.5875 0.5971 1.0303 1.7034 1.7680 3.0640 3.2887 3.3482 3 0.7473 0.2249 1.5289 0.9444 0.8254 1.6863 2.3589 2.3823 3.2730 3.4337 3.5946 4 0.8582 0.2766 1.9177 1.2117 1.0095 2.1082 2.3722 2.4307 3.3581 3.4861 3.7113 5 1.2390 0.5785 2.1733 1.4049 1.2301 2.1244 2.6004 2.6517 3.4307 3.7493 3.9922 1 0.2254 0.0567 0.4832 0.2681 0.3884 0.3526 0.6733 0.7128 1.3685 1.5437 1.6240 2 0.3474 0.0805 0.5981 0.5820 0.4298 0.6070 1.1785 1.2212 1.3716 1.5710 1.7063 3 0.5669 0.1808 0.6773 0.6731 0.7881 0.6711 1.1952 1.3154 1.5569 1.6229 1.9719 4 0.6454 0.2538 1.0277 0.9620 0.8104 0.7865 1.3272 1.4204 1.5885 1.7715 2.0406 5 0.9703 0.4872 1.1454 1.1509 1.0139 1.1836 1.5446 1.6729 1.6881 2.1317 2.3737 1 0.2126 0.0580 0.2379 0.2819 0.4292 0.2769 0.6692 0.6938 0.8346 0.9442 1.0676 2 0.2606 0.0803 0.2840 0.5475 0.4689 0.3002 0.8560 0.9925 0.8559 0.9845 1.2500 3 0.5323 0.1718 0.4670 0.7092 0.7338 0.3740 0.9431 1.0621 0.9811 1.0750 1.3691 4 0.5418 0.2511 0.5593 0.8415 0.8164 0.7040 0.9442 1.2147 1.0527 1.2809 1.5463 5 0.8533 0.4427 0.6721 1.0935 0.9915 0.9231 1.1936 1.3363 1.1993 1.3517 1.5777 1 0.2444 0.0815 0.1090 0.4494 0.5350 0.2052 0.5474 0.7132 0.4876 0.5474 0.8128 2 0.2548 0.1004 0.1109 0.5805 0.5673 0.2533 0.6518 0.7898 0.6067 0.7073 0.9307 3 0.5319 0.2163 0.2741 0.7805 0.8465 0.3545 0.6736 0.9967 0.7137 0.8791 1.0796 4 0.5928 0.2856 0.2829 0.9844 0.8830 0.6073 0.8265 1.2215 0.7504 0.9041 1.2947 5 0.6822 0.4981 0.4473 1.0485 1.0250 0.6499 1.0942 1.2959 0.7543 1.1170 1.3992