Research Article

Development of a New Cracked Mindlin Plate Element

Table 7

Example 3: the ratios of the first four natural frequencies ( Δ 𝜔 𝑖 = 𝜔 𝑐 𝑖 / 𝜔 𝑖 ) of a cantilever plate with different thicknesses.

Mode 𝑡 / 𝐿 = 0 . 0 0 1 𝑡 / 𝐿 = 0 . 0 1 𝑡 / 𝐿 = 0 . 0 5 𝑡 / 𝐿 = 0 . 1

1st1.00000.99400.98400.9837
2nd1.00000.99920.99430.9941
3rd0.99990.99100.97350.9731
4th0.99990.99230.98110.9803