基于高阶剪切变形理论的四边形求积元板单元及其应用1)
申志强, 夏军, 宋殿义, 程盼

A QUADRILATERAL QUADRATURE PLATE ELEMENT BASED ON REDDY'S HIGHER-ORDER SHEAR DEFORMATION THEORY AND ITS APPLICATION1)
Shen Zhiqiang, Xia Jun, Song Dianyi, Cheng Pan
表8 变厚度方板无量纲自振频率$\omega {a^2}/{\pi ^2}\sqrt {{12\rho \left({1 - \nu ^2} \right)}/{Eh_0^2 }} $
Table 8 The dimensionless frequencies of the square plate with variable thickness (Type I)
Mode 1 2 3 4 5 6
QEM 1.374 9 3.1150 3.1331 4.6741 5.451 5 5.5566
9x9
QEM 1.374 9 3.1150 3.1331 4.6741 5.5050 5.5829
10 x 10
QEM 1.374 9 3.1150 3.1331 4.6741 5.5047 5.5839
11 x 11
Ref.[35] 1.373 8 3.1096 3.1276 4.661 3 5.4883 5.5657
Ref.[36] 1.378 7 3.1324 3.1500 4.6923 5.5509 5.631 0