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11 斜板无量纲自振频率(UD) $\omega {a^2} / h\sqrt {{\rho _m }/{E_m }} $

Table 11 The dimensionless frequencies of the FG-CNTRC skew plate (UD)

Mode 1 2 3 4 5 6 α =15° QEM 15 x 15 13.746 18.278 18.327 22.576 28.358 33.426 Ref.[12] 14.088 18.320 18.895 22.618 29.333 33.641 α = 30° QEM 15 x 15 14.519 18.668 20.719 28.286 32.165 34.834 Ref.[12] 14.898 18.830 21.372 28.432 33.108 35.118 α = 45° QEM 15 x 15 16.707 20.197 26.207 36.689 38.864 39.160 Ref.[12] 17.186 20.512 26.990 37.014 39.632 39.657