-3 -2 -1 0 1 2 3 -4 -3 -2 -1 0 1 2 3 4 8 1 9 4 7 3 5 2 y 6 x a Fig. 7 Plate with curved edges -2 -1 0 1 2 -3 -2 -1 0 1 2 3 -0.5 0 0.5 Mode 4 -2 -1 0 1 2 -3 -2 -1 0 1 2 3 -0.5 0 0.5 Mode 5 -2 -1 0 1 2 -3 -2 -1 0 1 2 3 -0.5 0 0.5 Mode 6 -2 -1 0 1 2 -3 -2 -1 0 1 2 3 -0.5 0 0.5 Mode 9 Fig. 8 Free plate with curved edges ( Q = 0.3, a = 1): modes 4, 5, 6 and 9 (1 to 3 are rigid body modes) Table 5 Example 5, dimensionless frequency parameter O2 ( Q = 0.3) Present approach Mode 6u6 dofs 12u12 dofs FEM 1 0 0 0 2 0 0 0 3 0 0 0 4 0.655 0.634 0.620 5 0.733 0.717 0.650 6 1.875 1.813 1.689 7 2.101 2.085 2.062 8 2.268 2.161 2.094 9 2.461 2.439 2.424 10 3.795 3.614 3.369 900 elements, 2821 nodes, 8463 dofs. 85
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