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4 方板无量纲自振频率$\omega h\sqrt {{2\rho (1 + \nu )} / E} $

Table 4 The dimensionless frequencies of the square plate

Mode QEM 9x9 QEM 10 x 10 QEM 11 x 11 Reddy [34] Shufrin[33] Nayak [13] 1,1 0.093 0 0.0930 0.093 0 0.093 1 0.0930 0.0930 1,2 0.222 0 0.2220 0.2220 0.2222 0.2220 0.2222 2,2 0.3406 0.3406 0.3406 0.341 1 0.3406 0.341 2 1,3 0.4090 0.4151 0.4151 0.4158 0.4151 0.4169 2,3 0.511 2 0.5208 0.5208 0.5221 0.5208 0.5231 1,4 0.569 4 0.6455 0.6526 0.6545 — 0.6599