Study on the effect of dynamic stiffness of supporting structure on dynamic characteristics of the rotor system

Abstract

The rotor systems are the critical components of many rotational machines. The dynamic stiffness of the supporting structure affects the dynamic characteristics of the rotor system significantly. The effect can’t be overlooked for obtaining accurate dynamic characteristics. The judgment index of dynamic stiffness influence (DSI) is proposed in this paper to evaluate the degree of dynamic stiffness influence on the dynamic characteristics. The dynamic model of the rotor system considering the dynamic stiffness of supports is established, and the expression of DSI is given. Then the Campbell diagrams and corresponding DSI values for different system parameters under the influence of dynamic stiffness are discussed and analyzed. The effectiveness of DSI is verified by the literature. Besides, an experiment is carried out to verify the effectiveness of the DSI. The results indicate that the effectiveness of DSI can be confirmed by both numerical and experimental cases, and that the DSI can evaluate the degree of dynamic stiffness influence well.

Keywords

Rotor system dynamic stiffness dynamic characteristic Campbell diagrams influence evaluation

Get full access to this article

View all access options for this article.

References

Tiwari

Chakravarthy

Simultaneous estimation of the residual unbalance and bearing dynamic parameters from the experimental data in a rotor-bearing system. Mech Mach Theory 2009; 44: 792–812.

Ooi

Ripin

ZM.

Dynamic stiffness and loss factor measurement of engine rubber mount by impact test. Mater Des 2011; 32: 1880–1887.

Kim

Jang

Hwang

, et al. Analysis of dynamic characteristics and evaluation of dynamic stiffness of a 5-axis multi-tasking machine tool by using FEM and exciter test. In: International conference on smart manufacturing application, Goyangi, Korea, 9–11 April 2008. DOI: 10.1109/ICSMA.2008.4505589

Tao

Lei

Liu

, et al. Nonlinear static and dynamic stiffness characteristics of support hydraulic system of TBM. Chin J Mech Eng 2019; 32: 101.

Gupta

TC.

Parametric studies on dynamic stiffness of ball bearings supporting a flexible rotor. J Vib Control 2019; 25: 2175–2188.

Xiao

Chen

HY.

Stability and dynamic stiffness analysis of Jeffcott rigid support rotor system. Chin J Appl Mech 2021; 38: 1663–1669.

Liao

A test method of dynamic stiffness and its application in dynamic balance. Noise Vib Control 2014; 34: 207–211.

Zhao

Chen

, et al. Finite element calculation and verification of dynamic stiffness of aero-engine casing support. Aeronaut Comput Technol 2011; 41: 34–38.

Sinou

JJ.

Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings. Mech Mach Theory 2009; 44: 1713–1732.

10.

Briend

Dakel

Chatelet

, et al. Effect of multi-frequency parametric excitations on the dynamics of on-board rotor-bearing systems. Mech Mach Theory 2020; 145: 103660.

11.

Hong

Chen

Liu

, et al. Application of whole engine finite element models in aero-engine rotor dynamic simulation analysis. In: Proceedings of the ASME Turbo Expo 2007, Montreal, Canada, 14–17 May 2007, pp.771–778. New York: ASME. DOI: 10.1115/GT2007-27162

12.

Moore

Vannini

Camatti

, et al. Rotordynamic analysis of a large industrial turbocompressor including finite element substructure modeling. J Eng Gas Turbine Power 2010; 132: 082401.

13.

Song

Wang

Sun

Rotordynamic characteristics analysis for an aero-engine low pressure rotor rig test model. In: 2nd International conference on mechanical, material and aerospace engineering, Beijing, China, 10–13 May 2018, vol. 179, p.3012. DOI: 10.1051/matecconf/201817903012

14.

Long

Yuan

Analysis of the influence of supporting dynamic stiffness on the critical speed of a turboshaft engine gas generator rotor. Chin J Turb 2018; 60: 66–70.

15.

Wang

Hong

Study on dynamic stiffness of supporting structure and its influence on vibration of rotors. Chin J Aeronaut 2022; 35: 252–263. DOI: 10.1016/j.cja.2022.01.017

16.

Deepthikumar

Sekhar

Srikanthan

MR.

Modal balancing of flexible rotors with bow and distributed unbalance. J Sound Vib 2013; 332: 6216–6233.

17.

Chen

Vibration modelling and verifications for whole aero-engine. J Sound Vib 2015; 349: 163–176.

18.

Luo

, et al. An improved partial similitude method for dynamic characteristic of rotor systems based on Levenberg–Marquardt method. Mech Syst Signal Process 2022; 165: 108405.

19.

Lee

Kim

YC.

A finite element transient response analysis method of a rotor-bearing system to base shock excitations using the state-space Newmark scheme and comparisons with experiments. J Sound Vib 2006; 297: 595–615.

20.

, et al. A new dynamic model of rotor–blade systems. J Sound Vib 2015; 357: 168–194.

21.

Rao

Saunders

Rotor Dynamics. J Vib Acoust 1985; 107: 351–352.

22.

Yoon

Lin

Allaire

PE.

Introduction to Rotor Dynamics. 1st-order ed. London: Springer, 2013. pp.17.

23.

Luo

Yang

, et al. Experimental and numerical investigations on novel models for mechanical behaviors of the elastic ring in aero-engine. Proc IMechE, Part C: J Mechanical Engineering Science 2021; 235: 6257–6267.

24.

Zhang

Ding

Elastic ring deformation and pedestal contact status analysis of elastic ring squeeze film damper. J Sound Vib 2015; 346: 314–327.

25.

Han

Ding

Zhang

Dynamical analysis of an elastic ring squeeze film damper-rotor system. Mech Mach Theory 2019; 131: 406–419.