夹层梁的弹性解研究

采用弹性解法对夹层梁进行分析，并得到一个弹性解。在分析过程中，夹层梁分为上面层、中间夹层、下面层三部分。面层用Euler-Bernoulli梁理论来分析，中间夹层用经典弹性力学来分析。按弹性理论导出了既满足控制方程又同时满足全部边界条件、层间应力和位移的弹性解，它可以确切反映夹层梁的位移形态和应力分布。

A study of elastic solution to sandwich beams

An elastic solution is obtained by analysing sandwich beams with an elastic method. A sandwich beam consists of upper layer, middle layer and lower layer. The upper layer is analyzed by Euler-Bernoulli beam theory and the middle layer by the classical elastic mechanics theory. An elastic solution is derived from the elastic theory that satisfies not only governing equations but all the boundary conditions, interface stress and displacement, and may exactly reflect the pattern of displacement and stress distribution of sandwich beams.