基于分布质量轴模型的尾传动轴系临界转速分析

Critical Speed Analysis of Helicopter Tail Drive Shaft Based on Distributed Mass Shaft Model

以直升机尾斜轴为研究对象,推导了传动轴的分布质量传递矩阵,模型中考虑了弯矩、横向位移、剪切变形、转动惯量、陀螺力矩和轴向力等因素的综合影响。建立了膜片联轴器和弹性支承的传递矩阵。给出了尾传动轴系临界转速的计算方法。以三支点水平轴系为分析对象,将本文传递矩阵法计算的结果与有限元法计算的结果进行了对比分析,以检验本文传递矩阵法的有效性。本文传递矩阵法相对于有限元法的最大计算误差为4.1%,表明本文传递矩阵法的计算精度较高,同时本文传递矩阵法的计算速度更快,便于设计人员进行尾传动轴系临界转速的影响因素分析。

The transfer matrix of the distributed mass shaft model for the helicopter oblique drive tail shaft is derived.The bending moment,lateral displacement,shear distortion,moment of inertia,gyroscopic moment and axial force are all considered in the model.The transfer matrix of the diaphragm coupling and elastic support are established.The calculation method of the critical speed of the tail drive shaft is presented.In order to test the validity and precision of the presented method,the results of horizontal shaft with three supports are compared with those of the finite element method.The maximum error of the presented method with respect to the finite element method is 4.1%,which indicates that the presented method is high in calculation accuracy and quick in calculation speed.Consequently the presented method is very suitable for the designers to analysis the influence factors of critical speeds of tail drive shaft system.