Research Article

Development of a New Cracked Mindlin Plate Element

Table 1

Example 1: natural frequency of a simply supported plate with thickness 𝑡 = 0 . 0 0 1  m. (STRI3 is a Kirchhoff element with 3 nodes; S4 is an element with 4 nodes for thin or thick sections; S4R is an S4 element with reduced integration).

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

First mode484.33484.19
5 × 5 459.85505.95500.48496.71
7 × 7 485.26494.88492.23490.12
1 0 × 1 0 483.58489.06487.80483.56

Second mode1210.801210.00
5 × 5 1105.551434.101408.601347.10
7 × 7 1200.351315.101303.701277.80
1 0 × 1 0 1204.351258.901253.601241.80

Third mode1937.301935.10
5 × 5 1625.902323.502206.802026.40
7 × 7 1863.702118.602069.602000.90
1 0 × 1 0 1915.502020.301998.601980.80