盘式分布拉杆转子系统扭转振动非线性动力学特性分析

摘要

Distributed disk-rod-fastening rotor systems are widely used in power machineries with the development of gas turbine technology.Here,the nonlinear dynamic characteristics of the torsional vibration of the rotor system considering influence of blade-disk contact effects were studied.The torsional vibration equation for the distributed disk-rod-fastening rotor system was established.With the method of equivalent and simplifying.Using the multi-scale method, the analytical solutions to the dynamic equation were obtained,and the rotor’s amplitude-frequency equation and the analytical curves of the rotor system were figured out.Based on the singular theory,the transition set of the system were obtained.With the zero solution of the perturbation equation of the rotor dynamic system,the stability characteristics of periodic solutions of the rotor system versus the dynamic paramic parameters of the system were investigated.According to the dynamic model of the system,the relationships between the actual structural parameters and the nonlinear dynamic parameters of the system were built,the stability boundary conditions of the system were derived.The results provided a guidance for designing the rotor system of gas turbine machineries.%随着燃气轮机技术的发展，盘式分布拉杆转子系统在燃气轮机等动力机械中得到广泛应用。主要研究盘式分布拉杆转子扭转振动的非线性动力学特性，通过考虑叶盘接触效应和拉杆等效简化，建立一个新的系统扭转振动方程。利用多尺度方法求解动力学方程解析解，并获得拉杆转子系统扭转振动幅频方程和解析曲线，根据奇异性理论获得系统转迁集，并利用动力学系统的扰动方程零解稳定性研究原系统的周期解的稳定特性，并发现系统动力学参数对其影响规律，并根据新模型建立实际结构参数与非线性动力学参数的联系，给出系统稳定性边界条件。分析结果对燃气轮机转子系统动力学设计具有一定的指导意义。