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7 矩形板无量纲自振频率$\omega \sqrt {{\rho _{\rm c} }/ {E_{\rm c} }} a{^2} / h$

Table 7 The dimensionless frequencies of the rectangular laminated plate

Mode h/a = 0.2 h/a = 0.05 a/b = 0.5 a/b = 1.0 a/b = 1.5 a/b = 0.5 a/b = 1.0 a/b = 1.5 QEM 1 7.50 9.71 12.83 13.94 19.36 29.22 2 9.71 16.31 18.80 19.36 42.11 51.86 13 X 13 3 10.21 16.81 20.41 29.22 45.52 72.21 1 7.50 9.71 12.83 13.94 19.36 29.22 Ref.[18] 2 9.72 16.31 18.80 19.36 42.11 51.86 3 10.21 16.81 20.41 29.22 45.52 72.21 1 7.29 9.42 12.36 13.85 19.23 28.97 Ref.[13] 2 9.43 15.56 17.74 19.24 41.70 51.12 3 10.20 15.96 20.41 29.16 44.88 71.17