论文部分内容阅读
本文应用加权残量法基本原理，给出了建立杂交／混合元模型的简明列式，构造了四 边形杂交／混合（多变量）薄板弯曲单元ＱＰ１２元。该单元列式简明，采用自然坐标插值，保持了 坐标的几何不变性：形成单元刚度阵的各矩阵均推出了显式，不需作数值积分，从而避免了 高阶矩阵的求逆运算，提高了计算效率和精度。数值结果表明， ＱＰ１２元的应力、位移精度均 较高，对各种载荷工况和边界支承条件适应性强。
In this paper, by using the basic principle of weighted residual method, a concise formula of hybrid / mixed element model is established and the QP12 element of quadrangular hybrid / hybrid (multivariable) flexural plate is constructed. The unit is simple and concise, using natural coordinate interpolation to maintain the geometric invariance of the coordinates: all matrixes forming unit stiffness matrix are introduced explicitly without numerical integration, so as to avoid the inversion of high-order matrix and improve The calculation of efficiency and accuracy. Numerical results show that the QP12 element has high stress and displacement accuracy and is adaptable to various load conditions and boundary conditions.