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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作用下的振动与稳定性问题及其相关性。建立了组合梁在任意边界条件下振动与稳定性的状态空间控制方程和振动频率与轴压载荷之间的相互关系式。分析中同时考虑了一阶和高阶横向剪切变形、转动惯量、细长比、各向异性、扭转变形等多种因素对组合梁固有频率和屈曲载荷的影响。并将数值例子的结果与试验值或文献所提供的结果相比较。
The distribution and transfer function method was used to analyze the vibration and stability of composite composite beams subjected to axial compression and their correlations. The governing equation of state space and the relationship between vibration frequency and axial compressive load of composite beam under arbitrary boundary conditions are established. In the analysis, the influences of first-order and high-order transverse shear deformation, moment of inertia, slenderness ratio, anisotropy, torsional deformation and other factors on the natural frequency and buckling load of composite beam are considered. The results of the numerical examples are compared with the experimental values or the results provided in the literature.