复合材料非均匀（变厚度）叠层梁的研究

在铁摩辛柯各向同性梁理论的基础上，利用迭合刚度法和Ｈａｍｉｌｔｏｎ原理导出了适合于复合材料叠层梁静支力分析的梁理论。此理论能够考虑同剪切变形和旋转惯性的影响，而且便于分析和求解叠层梁的各种静动力问题。

STUDY OF NON-HOMOGENEOUS (VARIABLE-THICKNESS) COMPOSITE LAMINATED BEAMS

Based on Timoshenko's isotropic beam theory,the theory for analysis of static and dynamic problems of composite laminated beams, which includes the effects of transverse shear deformation and rotatory inertia,is established by using the lamination stiffness method and Hamilton's principle,and it is convenient to analyze and solve the static and dynamic problems of laminated beams. In addition,the laminated beam theory presented in this paper and the extended stepped reduction method are used for study of bending of non--homogeneous composite laminated beams,and the analytic solution of this problem is obtained for the first time. The results of the isotropic variable thickness beam obtained by reduction of the solution show that the composite laminated beam theory and the method used for study are correct.