对称叠层板稳定计算的一种新方法

New Calculation Method of Stability Problem of Symmetrically Laminated Plate

无单元法是一种新的数值算法,它信息处理简单,其基本思想是在计算域上用一些离散的点由最小二乘法来拟合场函数,从而摆脱了单元的限制,因为它应用了滑动最小二乘法,所以与有限元不同,它的近似场函数不一定精确通过计算点,这会使计算略为复杂,但与这种方法带来的方便性相比,这点缺陷是微不足道的,因此这种方法愈来愈引起人们的关注.笔者将无单元法用于对称叠层板的屈曲问题,通过计算不同边界条件下各向同性板和对称叠层板的屈曲荷载参数,验证了该法的有效性,且精度较高,有着广泛的工程应用前景.

The element free Galerkin method（ EFGM ） is a newly numerical method, its bagic idea is to simulate field functions by means of moving least squares（MLS） method with many discrete nodes in spite of the unit limit. Therefore, it is different from FEM, because its approximate field functions may not traverse accurately the calculation nodes, and it hereby brings more convenience in compare with its complex calculation. Thus EFGM has been generally recognized. In the present paper, the method was applied to compute symmetrically laminated composite plate, buckling load parameters of isotropic and symmetrically laminated composite plates for different boundary conditions were calculated to demonstrate the efficiency and high precision of EFGM, Consequently, the method has a promising prospect in engineering application.