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.
参考文献
| [1] | Krishnaswamy S, Chandrashekhara K, Wu W Z B. Analytical solutions to vibration of generally layered composite beams. Journal of Sound and Vibration, 1992, 159(1): 85～99 |
| [2] | Chandrashekhara K, Krishnamurth K, Roy S. Free vibration of composite beam including rotary inertia and shear deformation. Computer and Structures, 1990, 14: 269～279 |
| [3] | Abramovich H, Eisenberger M, Shulepov O. Vibration and buckling of cross-ply nonsymmetric laminated composite beam. AIAA Journal, 1996, 34(5): 1064～1069 |
| [4] | Teboub Y, Hajela P. Free vibration of generally composite beams using symbolic computations. AIAA paper, 94-1330 |
| [5] | 息志臣, 陈浩然. 复合材料层合梁理论., 1994, 11(2): 1～11 |
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