Research Article

Development of a New Cracked Mindlin Plate Element

Table 2

Example 1: natural frequency of a simply supported plate with thickness 𝑡 = 0 . 0 0 5  m.

𝑡 / 𝐿 = 5 % Thin plateThick plateSTRI3S4S4RMP4 (present)

First mode2421.702404.80
5 × 5 2295.302482.902458.502426.10
7 × 7 2421.502422.602410.902385.80
1 0 × 1 0 2413.202388.502382.902397.70

Second mode6054.105950.20
5 × 5 5509.106934.306826.406546.80
7 × 7 5973.106371.206323.006210.80
1 0 × 1 0 6044.216098.506076.406034.90

Third mode9686.609424.50
5 × 5 8100.7010967.0010499.009716.10
7 × 7 9256.2010059.009860.609591.40
1 0 × 1 0 9504.809604.309516.009427.90