Journal of Applied Mathematics / 2013 / Article / Tab 4

Research Article

Analysis of Laminated Shells by Murakami’s Zig-Zag Theory and Radial Basis Functions Collocation

Table 4

Nondimensionalized fundamental frequencies of cross-ply cylindrical shells, .

Method [0/90/0] [0/90/90/0]

5 Present ( ) 20.4956 11.7774 20.5298 11.8524
Present ( ) 20.4839 11.7770 20.5201 11.8521
Present ( ) 20.4829 11.7770 20.5189 11.8521
FSDT [56] 20.332 12.207 20.361 12.267
HSDT [56] 20.330 11.850 20.360 11.830

10 Present ( ) 16.8475 11.7672 16.8583 11.8382
Present ( ) 16.8409 11.7669 16.8522 11.8380
Present ( ) 16.8401 11.7669 16.8516 11.8380
FSDT [56] 16.625 12.173 16.634 12.236
HSDT [56] 16.620 11.800 16.630 11.790

20 Present ( ) 15.8006 11.7646 15.8039 11.8346
Present ( ) 15.7955 11.7644 15.7990 11.8344
Present ( ) 15.7950 11.7644 15.7985 11.8344
FSDT [56] 15.556 12.166 15.559 12.230
HSDT [56] 15.55 11.79 15.55 11.78

50 Present ( ) 15.4945 11.7639 15.4955 11.8336
Present ( ) 15.4899 11.7637 15.4909 11.8334
Present ( ) 15.4895 11.7637 15.4905 11.8334
FSDT [56] 15.244 12.163 15.245 12.228
HSDT [56] 15.24 11.79 15.23 11.78

100 Present ( ) 15.4503 11.7638 15.4510 11.8335
Present ( ) 15.4457 11.7636 15.4464 11.8333
Present ( ) 15.4453 11.7636 15.4460 11.8333
FSDT [56] 15.198 12.163 15.199 12.227
HSDT [56] 15.19 11.79 15.19 11.78

Plate Present ( ) 15.4355 11.7638 15.4361 11.8335
Present ( ) 15.4310 11.7635 15.4316 11.8332
Present ( ) 15.4306 11.7635 15.4311 11.8332
FSDT [56] 15.183 12.162 15.184 12.226
HSDT [56] 15.170 11.790 15.170 11.780

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