Research Article

Development of a New Cracked Mindlin Plate Element

Table 3

Example 1: natural frequency of a simply supported plate with thickness 𝑡 = 0 . 0 1  m.

𝑡 / L = 1 0 % Thin plateThick plateSTRI3S4S4RMP4 (present)

First mode4843.34712.3
5 × 5 4566.24738.64699.54625.7
7 × 7 4813.14623.04603.44573.6
1 0 × 1 0 4896.94559.74550.04561.0

Second mode12108.311335.5
5 × 5 10902.012747.012595.012189.0
7 × 7 11771.011796.011725.011637.0
1 0 × 1 0 11808.511330.011296.011331.0

Third mode19373.217499.7
5 × 5 16015.019263.018661.017443.0
7 × 7 18131.017904.017635.017345.0
1 0 × 1 0 18573.017205.017080.017228.6