轴压下叠层梁的挠曲与屈曲分析

A Deflection and Buckling Analysis of a Laminated Beam under Axial Pressure

在一阶剪切理论基础上，研究了叠层梁受轴压的挠曲和屈曲问题，得到该问题的封闭解，并将固支、简支、悬臂梁的屈曲载荷和对应的经典理论解联系起来，统一于一个表达式。就边界约束对耦合效应、耦合刚度对屈曲载荷的影响以及经典解的有效范围等问题进行了讨论，还得到无论在什么边界条件下叠层梁的屈曲载荷不大于等效剪切刚度的结论。

Based On the first-order shearing theory , he deflection and bucking of a laminatedbeam under axial pressure are studied and the solutions in closed form for the beam deforma-tion have been obtained.In connection with the classical theory,the expressions for thebuckling loads under three boundary conditions have been unified.It is concluded that thecritical buckling load of the laminated beam will never be greater than that of the equivalentshearing rigidity under any boundary conditions.