A dynamic modeling approach for a high-speed winding system with twin-rotor coupling

Abstract

This paper continues the previous study and presents a dynamic modeling approach for a high-speed winding system. To meet the requirements of high-speed winding, a twin-rotor coupling structure is adopted in the winding system. It is a complex spindle system, due to its high speed, heavy load, frequency-dependent coupling parameters, and time-varying rotational speed. In this paper, an approach to establishing a finite element model of the winding system is proposed to predict its dynamic behavior characteristics during the winding process. First, the spindle and contact roller models of the discrete single component are developed based on Timoshenko beam theory. Bending, transverse shear effects, and gyroscopic moment are considered in the models. The contact stiffness between the contact roller and the packages to be wound on the spindle is simplified by a nonlinear spring. The contact stiffness is identified by dynamics analysis in ANSYS® 17.0. Next, a fully dynamic model of the winding system, which consists of the spindle subsystem, the contact roller, and the flexible coupling elements, is established. Third, the Newmark method is used to develop the program to solve the dynamic equations in MATLAB® 2013b. Finally, the effects of the supporting system and contact state on the winding system's dynamic response are investigated. The results indicate the model of the winding system presented in this paper is suitable for predicting dynamic performance during the winding process.

Keywords

winding system rotor dynamics twin rotor time varying frequency dependent

Get full access to this article

View all access options for this article.

References

Wang

Zhang

Yan

, et al. A dynamic modeling approach for winding spindle during start-up with coupled flexible support system. Text Res J 2020; 90(7–8): 757–775. .

Prohl

. A general method for calculating critical speeds of flexible rotors. ASME J Appl Mech 1945; 12: 142–148.

Jiang

Mao

. Investigation of variable optimum preload for a machine tool spindle. Int J Mach Tool Manu 2009; 50: 19–28.

Jiang

Zheng

. Dynamic design of a high-speed motorized spindle-bearing system. ASME J Mech Design 2010; 132: 034501: 1–5.

Jiang

Zheng

. A modeling approach for analysis and improvement of spindle-drawbar-bearing assembly dynamics. Int J Mach Tool Manu 2010; 50: 131–142.

Cao

Niu

, et al. Mechanical model development of rolling bearing-rotor systems: A review. Mech Syst Signal Pr 2018; 102: 37–58.

Nelson

. A finite rotating shaft element using timoshenko beam theory. J Mech Design 1980; 102: 793–803.

Rao

Shiau

Chang

. Theoretical analysis of lateral response due to torsional excitation of geared rotors. Mech Mach Theor 1998; 33: 761–783.

Liu

Cai

, et al. Timoshenko beam-based stability and natural frequency analysis for heavy load mechanical spindles. J Mech Sci Technol 2012; 26: 3375–3388.

10.

Cao

Altintas

. A general method for the modeling of spindle-bearing systems. J Mech Design 2004; 126: 1089–1104.

11.

Hasegawa

Kanematsu

. Preventive safety measures and an efficient maintenance system for high-speed yarn winders. J Text I 1997; 88(3): 94–102.

12.

Sueoka

Ryu

Yoshikawa

, et al. Pattern formation generated in a winder system of textile machine. Jsme Int J 1998; 41(3): 630–638.

13.

Chien

Fung

Tsai

. Non-liner vibration analysis of the coupled textile/rotor system by finite element method. J Soud Vib 1999; 221(1): 67–84.

14.

Ouyang

, et al. Experimental and numerical investigations on dynamic characteristics of gear-roller-bearing system. Mech Mach Theory 2019; 140: 730–746.

15.

Malik

Hinton

. Displacement of multiple coupled timoshenko beams in discontinuous nonlinear elastic contact, with application to rolling mills. ASME J Manuf Sci E-T 2012; 134: 051009.

16.

Kapil

Eberhard

Dwivedy

. Dynamic analysis of cold-rolling process using the finite-element method. ASME J Manuf Sci E-T 2016; 138: 041002.

17.

Mosayebi

Zarrinkolah

Farmanesh

. Calculation of stiffness parameters and vibration analysis of a cold rolling mill stand. Int J Adv Manuf Technol 2017; 91: 4359–4369.

18.

Cai

. Simulation on the rotational vibration of helical gears in consideration of the tooth separation phenomenon. J Mech Des Trans ASME 1995; 117: 460–469.

19.

Saxena

Chouksey

Parey

. Measurement of FRFs of coupled geared rotor system and the development of an accurate finite element model. Mech Mach Theory 2018; 123: 66–75.

20.

Luo

Baddour

Liang

. Dynamical modeling and experimental validation for tooth pitting and spalling in spur gears. Mech Syst Signal Pr 2019; 119: 155–181.

21.

Saxena

Chouksey

Parey

. Effect of mesh stiffness of healthy and cracked gear tooth on modal and frequency response characteristics of geared rotor system. Mech Mach Theory 2017; 107: 261–273.

22.

Tran

. Dynamic response prediction of a twin-screw compressor with gas-induced cyclic loads based on multi-body dynamics. Int J Refrig 2016; 65: 1111–1128.

23.

Soom

Serpe

. Normal stiffness and damping at lightly loaded rough planar contacts. Tribol Int 2016; 100: 171–177.

24.

Mokhtar

Darp

Gupta

. Investigations on bending-torsional vibrations of rotor during rotor-stator rub using Lagrange multiplier method. J Sound Vib 2017; 401: 94–113.

25.

Atmaca1

Dal

Yılmaz

, et al. Investigation of the effects of fabric parameters on air permeability of woolen fabrics. Text Res J 2015; 85(20): 2099–2107. .

26.

Wang

, et al. An analytical approach of filament bundle swinging dynamics, Part I: Modeling filament bundle by ANCF. Text Res J 2019; 89(21–22): 4607–4619. .

27.

Wang

, et al. Modeling and simulation of a moving yarn segment: Based on the absolute nodal coordinate formulation. Math Probl Eng 2019; 6567802: 1–15. .