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根据在定常轴向力作用下 ,均匀梁的横向振动方程 ,推导了其固有振动特性计算的连续质量传递矩阵模型。通过对模型的修正 ,获得了在分布轴向力作用下梁振动计算的传递矩阵模型 ,并使用该模型计算了在不同分布轴向力作用下悬臂梁的固有频率以及 432型叶片的静频和动频 ,结果表明此方法不仅能精确地计算在分布轴向力作用下梁结构的振动特性 ,还能比较准确地计算叶片的静态和动态振动特性。
According to the transverse vibration equation of a uniform beam under constant axial force, the continuous mass transfer matrix model of its inherent vibration characteristics is deduced. Through the modification of the model, the transfer matrix model of the beam vibration under distributed axial force was obtained and the natural frequency of the cantilever beam and the static frequency of the 432-type blade were calculated using the model. The results show that this method not only can accurately calculate the vibration characteristics of beam structure under the distributed axial force, but also can calculate the static and dynamic vibration characteristics of blade more accurately.