摘要
基于一阶剪切变形理论推导了功能梯度材料矩形板的基本方程 ,并用一种新型的数值方法——微分容积法求解了该方程 ,讨论了边界条件。
Static bending of functionally graded rectangular plate is studied by using a novel numerical solution technique, the differential cubature method First, the equations of equilibrium are established based on the first shear deformation theory Then the governing equations and boundary conditions are transformed into sets of algebraic equations by means of the differential cubature method Solving these algebraic equations, the displacements at each discrete point can be obtained At last, the solutions for deflections and stresses of functionally graded square plates with various relative thickness and subjected to different boundary conditions are presented The influence of the material gradient index on the dimensionless deflections and stresses is carefully discussed
出处
《石家庄铁道学院学报》
2003年第2期1-5,共5页
Journal of Shijiazhuang Railway Institute
