Natural Frequencies of Shear Deformable Plates by Polyharmonic Splines

Table 1

Convergence study of frequency parameters, 𝜆=(𝜔𝑏²/𝜋²)(𝜌𝑡/𝐷)^1/2 for rectangular isotropic plates with SSSS boundaries, ℎ/𝑎=0.001,𝑏/𝑎=1.0.

Mode	𝑁=21	𝑁=25	𝑁=30	Liew et al. [3]
1	2.0146	2.0089	2.0087	2.0000
2	5.0630	5.0343	5.0218	5.0000
3	5.0644	5.0371	5.0255	5.0000
4	8.1648	8.0717	8.0508	7.9999
5	9.8773	9.9908	10.0138	9.9998
6	10.2520	10.2462	10.0472	9.9998
7	12.7965	12.9815	13.0339	12.9997
8	12.8308	13.1027	13.0579	12.9997