【摘要】 将固体力学中具有两个广义位移的梁弯曲问题和振动问题的高阶方程组，转换成正则方程的形式，以矩阵分析为数学工具，求解此正则方程组得到他们的通解。与传统的分析方法相比，本文方法的求解过程清晰，并能得到通解的解析表达式，有一定的理论价值。更多还原

【Abstract】 In two general displacements beam bending theory of solid mechanics, the bending and vibration problems are described by two high order differential equations. This paper presentes a new method and treats them in normal equation. On the basis of matrix analySis theory, the general solutions of the bending and vibration of beam are presented. Comparing the new method with the traditional method, this new method is more clear in calculation and possesses some theoretic value.更多还原