In this work, the nonlinear dynamic responses of a high-speed rotor-bearing system have been investigated to explore the safe operating regions (SORs) with stable parametric shelter. Here, a new large deflection model of a high-speed multi-disk rotating shaft mounted on a moving base has been developed accounting for nonlinear geometric curvature and gyroscopic effect. Viscoelastic rotating shaft has been chosen to passively reduce the severity of the structural instability. Frequency response analysis has been studied to investigate the steady state responses and their stability and bifurcation. Further, stability diagrams have been established to forecast the route to chaos phenomena. It has been found that the present system losses its stability via S-N bifurcation while depending on parameter’s value; system can undergo chaotic behaviour. Frequency responses curves and bifurcation diagrams have been validated by exploring the time histories, Poincare’s section, and phase portraits. The behaviour of the present system can be successfully controlled with an appropriate selection of magnitude and frequency of base motion, loss-factor and number of rigid-disks. Outcomes from this work can enable significant theoretical understanding of forced vibration analyses which are of great practical importance to determine the operational stability and possibility of chaos occurrence.

在这项工作中，研究了高速转子轴承系统的非线性动态响应，以探索具有稳定参数庇护所的安全工作区 (SOR)。在这里，考虑到非线性几何曲率和陀螺效应，开发了安装在移动底座上的高速多盘旋转轴的新大挠度模型。选择粘弹性旋转轴来被动地降低结构不稳定的严重程度。已经研究了频率响应分析以研究稳态响应及其稳定性和分岔。此外，还建立了稳定性图来预测混沌现象的路径。已经发现，本系统通过SN分岔而失去稳定性，同时取决于参数值；系统可以经历混沌行为。频率响应曲线和分叉图已通过探索时间历程、庞加莱截面和相图得到验证。The behaviour of the present system can be successfully controlled with an appropriate selection of magnitude and frequency of base motion, loss-factor and number of rigid-disks. 这项工作的成果可以使对强迫振动分析的重要理论理解成为可能，这对于确定运行稳定性和混沌发生的可能性具有重要的实际意义。损耗因子和刚性磁盘的数量。这项工作的成果可以使对强迫振动分析的重要理论理解成为可能，这对于确定运行稳定性和混沌发生的可能性具有重要的实际意义。损耗因子和刚性磁盘的数量。这项工作的结果可以对强迫振动分析进行重要的理论理解，这对于确定运行稳定性和混沌发生的可能性具有重要的实际意义。