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应用分布参数传递函数法分析了复合材料组合梁在轴压载荷作用下的振动与稳定性问题。通过引入对偶变量，利用Ｌｅｇｒｅｎｄｒｅ 变换和Ｌａｐｌａｃｅ 变换，建立了可进入Ｈａｍ ｉｌｔｏｎ 体系的混合能量变分原理，并推导出了结构在复频域内的状态空间控制方程， 从而得到了任意边界条件下组合梁振动与稳定性问题的传递函数精确解。分析了一阶和高阶横向剪切变形、转动惯量、细长比、材料各向异性等多种因素对组合梁固有频率和屈曲载荷的影响。文中最后给出了数值算例， 验证了本方法的有效性和适应性。
The problem of vibration and stability of composite composite beams subjected to axial compressive load is analyzed by means of distributed parameter transfer function method. By introducing the dual variable, using the Legrendre transform and Laplace transform, a hybrid energy variational principle that can enter the Hamilton system is established, and the state space governing equation of the structure in the complex frequency domain is deduced. The composite beam with arbitrary boundary conditions Exact Solution of Transfer Function for Vibration and Stability Problems. The effects of first-order and high-order transverse shear deformation, moment of inertia, slenderness ratio, material anisotropy and other factors on the natural frequency and buckling load of composite beam were analyzed. Finally, a numerical example is given to verify the validity and adaptability of this method.