Reducing torsional oscillations of screw compressor rotor based on optimizing parameters of multiple dynamic vibration absorber

Abstract

The rotors of the screw compressor, referred to as male and female, are affected by adverse torsional oscillation due to the constant pressure fluctuations within the compressor. A method for reducing screw rotor oscillation in compressors is a necessary requirement for engineers and researchers. Therefore, a mathematical model is proposed for reducing the torsional oscillation of the screw rotor. The torsional oscillation equation of the screw rotor with the multidynamic vibration absorber (MDVA) is built to simulate the torsional oscillation of the system. The screw rotor with MDVA, known as a damped system, is transformed into the approximately undamped system based on the weighted dual criteria of the equivalent linearization technique. Based on the approximately undamped system, the mathematical form of MDVA parameters is defined by minimizing the amplitude function (AF) of the screw rotor with MDVA. In the numerical example, the AF of the screw rotor with optimal MDVA is significantly reduced by at least 91.26% compared with the screw rotor without MDVA, and this reduction is greater than that achieved by at least 1.05% compared with the previous method, the least square estimate. The effect of the MDVA parameters, including position ratio, mass ratio, and the torsional viscous damping parameter, is investigated. The sensitivity of the optimal parameters of the MDVA system is analyzed.

Graphical Abstract

This is a visual representation of the abstract.

Keywords

Reducing torsional oscillation damped screw rotor multidynamic vibration absorber weight dual criteria amplitude function.

Get full access to this article

View all access options for this article.

References

Tuan

Tran

. Torsional vibration suppression for a high-damped rotor using dynamic vibration absorber based on weighted dual estimation of equivalent linearization techniques. Appl Math Model 2024; 130: 774–789.

Singh

Kumar

. Modelling and analysis of passenger rail vehicle for the improvement of critical speed using MR damper based semi-active suspension. Proc Inst Mech Eng Part K J Multi-Body Dyn 2022; 236: 440–452.

Yücesan

Mugan

. Development and control of an active torsional vibration damper for vehicle powertrains. Proc Inst Mech Eng Part K J Multi-Body Dyn 2021; 235: 452–464.

Zhao

Fan

. Optimisation of electric vehicle with the in-wheel motor as a dynamic vibration absorber considering ride comfort and motor vibration based on particle swarm algorithm. Proc Inst Mech Eng Part K J Multi-Body Dyn 2023; 237: 49–59.

Watts

. On a method of reducing the rolling of ships at sea. In: Read at the 24th Session of the Royal Institution of Naval Architects, RINA Transactions: 1883–12, 16 March 1883, (1883).

Ormondroyd

Den Hartog

. The theory of the dynamic vibration absorber. Trans Am Soc Mech Eng 1928; 49–50: 021007.

Brock

. A note on the damped vibration absorber. J Appl Mech Trans ASME 1946; 13: A284.

Asami

Nishihara

Baz

. Analytical solutions to h∞ and h2 optimization of dynamic vibration absorbers attached to damped linear systems. J Vib Acoust 2002; 124: 284–295.

Phuc

Tran

Van Quyen

. A novel design of the dynamic vibration absorbers for damped main systems under torsional excitation using least squares estimation of the equivalent linearization method. Proc Inst Mech Eng Part K J Multi-Body Dyn 2019; 233: 60–70.

10.

Mayet

Ulbrich

. Tautochronic centrifugal pendulum vibration absorbers: general design and analysis. J Sound Vib 2014; 333: 711–729.

11.

Ikeda

. Bifurcation phenomena caused by multiple nonlinear vibration absorbers, 2010.

12.

Alsuwaiyan

Shaw

. Performance and dynamic stability of general-path centrifugal pendulum vibration absorbers. J Sound Vib 2002; 252: 791–815.

13.

Alsuwaiyan

. Stability of the synchronous response of a system of multiple translational vibration absorbers. Arab J Sci Eng 2014; 39: 9071–9081.

14.

Zuo

. Effective and robust vibration control using series multiple tuned-mass dampers, 2009.

15.

Zuo

Cui

. Dual-functional energy-harvesting and vibration control: electromagnetic resonant shunt series tuned mass dampers. J Vib Acoust 2013; 135: 051018.

16.

Asami

. Optimal design of double-mass dynamic vibration absorbers arranged in series or in parallel. J Vib Acoust 2017; 139: 011015.

17.

Duc Phuc

Tran

. Optimization design for multiple dynamic vibration absorbers on damped structures using equivalent linearization method, Proc Inst Mech Eng Part K J Multi-Body Dyn 2022; 236: 41–50.

18.

Singiresu

. Mechanical vibrations. Boston, MA: Addison Wesley, 1995.

19.

James

. High damping metals for engineering applications. Mater Sci Eng 1969; 4: 1–8.

20.

Anh

Linh

. A weighted dual criterion of the equivalent linearization method for nonlinear systems subjected to random excitation. Acta Mech 2018; 229: 1297–1310.

21.

Anh

Nguyen

Hoa

. Design of three-element dynamic vibration absorber for damped linear structures. J Sound Vib 2013; 332: 4482–4495.

22.

Hoang

Nguyen

. A universal rotor design method for twin-rotor fluid machines with a parameterized sealing line considering inter-lobe clearances. Vacuum 2021; 189: 110276.

23.

Ansari

Meher

Bisoi

, et al. Augmentation of damping force by modifying the geometrical shape of the MR damper. J Braz Soc Mech Sci Eng 2023; 45: 310.