复合材料回转壳的有限元级数解

FEM and Fourier series analysis for composite shells of revolution

本文用有限元法和 Fourier级数展开技术求解复合材料回转壳体在各种荷载作用下的弯曲问题。文中利用回转壳在几何上的轴对称性质 ,将各物理量在环向展开为 Fourier级数 ,而在母线和壳厚方向分割单元 ,所采用的单元为 6节点 18自由度等参元 ,它考虑了剪切变形和挤压变形的影响 ,能计算厚度方向的挤压应力。数值算例表明 ,本文提出的单元性能优良 ,算法稳定收敛。

The bending problems of composite shells of revolution subject to various loading condition are solved by the finite element method and Fourier series expansion in this paper. The shell is cut and carved in the longitudinal and thickness direction, and all physical varibles are expanded to Fourier series in circumferential direction of the shell on the basis of its geometric axial symmetry. The element employed herein is a six noded isoparametric element with 3 degrees of freedom per node, which involved the effect of shear and pressed deformations in thickness direction, and is capable of calculating the pressed stresses. Numerical examples show that the present method is of good convergency and accuracy.