Research Article
Free Vibration Analysis of Moderately Thick Rectangular Plates with Variable Thickness and Arbitrary Boundary Conditions
Table 1
Frequency parameters
for square moderately thick plates with uniform thickness and different boundary conditions.
| | Boundary conditions | M, N | Model sequence | | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| | C-C-C-C | | 3.375 | 7.191 | 7.191 | 9.856 | 16.05 | 16.28 | 17.47 | 17.47 | | 3.299 | 6.308 | 6.308 | 8.853 | 10.46 | 10.56 | 12.63 | 12.63 | | 3.294 | 6.282 | 6.282 | 8.801 | 10.37 | 10.47 | 12.54 | 12.54 | | 3.292 | 6.278 | 6.278 | 8.797 | 10.36 | 10.46 | 12.53 | 12.53 | | 3.292 | 6.276 | 6.276 | 8.794 | 10.36 | 10.46 | 12.53 | 12.53 | | 3.292 | 6.276 | 6.276 | 8.793 | 10.36 | 10.46 | 12.52 | 12.52 | | 3.292 | 6.276 | 6.276 | 8.793 | 10.36 | 10.46 | 12.52 | 12.52 | | 3.292 | 6.275 | 6.275 | 8.792 | 10.36 | 10.45 | 12.52 | 12.52 | | Reference [4] | 3.292 | 6.276 | 6.276 | 8.792 | 10.36 | 10.46 | 12.52 | 12.52 |
| | E-E-E-E | | 0.6153 | 1.0861 | 1.0861 | 1.7898 | 2.7709 | 2.8417 | 3.5010 | 3.5010 | | 0.6150 | 1.0799 | 1.0799 | 1.7785 | 2.7695 | 2.8405 | 3.4914 | 3.4914 | | 0.6149 | 1.0796 | 1.0796 | 1.7773 | 2.7694 | 2.8403 | 3.4898 | 3.4898 | | 0.6149 | 1.0796 | 1.0796 | 1.7771 | 2.7693 | 2.8403 | 3.4893 | 3.4893 | | 0.6149 | 1.0796 | 1.0796 | 1.7770 | 2.7693 | 2.8403 | 3.4892 | 3.4892 | | 0.6149 | 1.0796 | 1.0796 | 1.7770 | 2.7693 | 2.8403 | 3.4892 | 3.4892 | | 0.6149 | 1.0796 | 1.0796 | 1.7770 | 2.7693 | 2.8403 | 3.4892 | 3.4892 | | 0.6149 | 1.0796 | 1.0796 | 1.7770 | 2.7693 | 2.8403 | 3.4891 | 3.4891 | | Reference [33] | 0.6153 | 1.0861 | 1.0861 | 1.7898 | 2.7709 | 2.8417 | 3.5010 | 3.5010 | | FEM | 0.6150 | 1.7097 | 1.7097 | 1.7774 | 2.7694 | 2.8406 | 3.4898 | 3.4898 |
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