Research Article

Development of a New Cracked Mindlin Plate Element

Table 4

Error comparison of natural frequency for 1 0 × 1 0 mesh.

First modeSecond modeThird mode
𝛼 𝛽 𝛼 𝛽 𝛼 𝛽

𝑡 / 𝐿 = 1 % S40.00980.01010.03970.04040.04280.0440
S4R0.00720.00750.03530.03600.03160.0328
STRI30.00150.00130.00530.00470.01130.0101
MP40.00160.00130.02560.02630.02240.0236

𝑡 / 𝐿 = 5 % S40.01370.00680.00730.02490.00850.0191
S4R0.01600.00910.00370.02120.01760.0097
STRI30.00350.00350.00160.01580.01880.0085
MP40.01000.00290.00320.01420.02650.0006

𝑡 / 𝐿 = 1 0 % S40.05860.03240.06430.00050.11190.0168
S4R0.06060.03440.06710.00350.11840.0240
STRI30.01110.03920.02480.04170.04130.0613
MP40.05820.03210.06420.00040.11070.0155

α: Error to thin theory, β: Error to thick theory.