Analytical solution to orifice design in a rotary valve controlled electro-hydraulic vibration exciter for high-frequency sinusoidal vibration waveform

Abstract

The present study is focused on a novel method for the acquisition of high-frequency sinusoidal vibration waveform with electro-hydraulic vibration exciter. A rotary valve controlled electro-hydraulic vibration exciter is proposed to make it easier to obtain high vibration frequency than the conventional servo valve controlled counterpart. Three common used offices are taken into consideration: rectangular orifice, triangular orifice, and semicircular orifice. Analytical solution to orifice design of shape and axial length is suggested for the accurate control of vibration waveform. Harmonic theory borrowed from electronic technology is used as an evaluation index for the shape of vibration waveform. The orifice shape design decision is made according to the total harmonic distortion of vibration waveform. The nonlinear differential equation which models vibration waveform is established. The orifice axial length is designed according to the supply pressure, vibration frequency, and amplitude. Both theoretical and experimental results show that rectangular orifice is desirable for high-frequency sinusoidal vibration waveforms. With the orifice design solution, the proposed vibration exciter can output the vibration waveform with total harmonic distortion of less than 1% as compared with sinusoidal waveform and maximum error of 5% as compared with experimental value at vibration frequency of higher than 100 Hz, and greatly extend the frequency bandwidth when sinusoidal vibration waveform is required.

Keywords

Electro-hydraulic vibration exciter rotary valve orifice design sinusoidal vibration waveform total harmonic distortion

Get full access to this article

View all access options for this article.

References

Belgacem

Berry

Masson

. Active vibration control on a quarter-car for cancellation of road noise disturbance. J Sound Vib 2012; 331: 3240–3254.

Moghaddam

Bagheri

. Suppressing vibration in a functionally graded material plate using genetic algorithm particle swarm optimization and sliding mode control system. Proc IMechE, Part E: J Process Mechanical Engineering 2014; 230: 120–133.

Pakar

Bayat

. Nonlinear vibration of stringer shell: an analytical approach. Proc IMechE, Part E: J Process Mechanical Engineering 2015; 229: 44–51.

Huang

Sun

Zhen

, et al. Dynamic analysis and tracking trajectory control of a crane. Proc IMechE, Part E: J Process Mechanical Engineering 2017; 231: 1045–1052.

Wang

Gong

Zhou

, et al. A rotary valve controlled electro-hydraulic vibration exciter. Proc IMechE, Part C: J Mechanical Engineering Science 2016; 230: 3397–3407.

Nilsson

Olsson

. An investigation of worn work roll materials used in the finishing stands of the hot strip mill for steel rolling. Proc IMechE, Part E: J Process Mechanical Engineering 2013; 227: 837–844.

Mridha

Maity

. Experimental investigation on nonlinear dynamic response of concrete gravity dam-reservoir system. Eng Struct 2014; 80: 289–297.

Behzad

Bastami

Mba

. Rolling bearing fault detection by short-time statistical features. Proc IMechE, Part E: J Process Mechanical Engineering 2012; 226: 229–237.

Fujiwara

Matsuo

Yamashita

. Vibration analysis of oil-injected twin-screw compressors using simple simulated waveforms. Proc IMechE, Part E: J Process Mechanical Engineering 2011; 225: 105–116.

10.

Zhang

Sconyers

Byington

, et al. A probabilistic fault detection approach: application to bearing fault detection. IEEE T Ind Electron 2011; 58: 2011–2018.

11.

Jafari

Mehdigholi

Behzad

. Investigation of the relationship between engine valve leakage and acoustic emission measured on the cylinder head ignoring combustion effects. Proc IMechE, Part E: J Process Mechanical Engineering 2014; 230: 2161–2170.

12.

Almasi

. Practical torsional analysis and coupling selection for multi-machine complex process rotating equipment trains. Proc IMechE, Part E: J Process Mechanical Engineering 2010; 224: 137–141.

13.

Wang

Jiao

Quan

. Adaptive velocity synchronization compound control of electro-hydraulic load simulator. Aerosp Sci Technol 2015; 42: 309–321.

14.

Ruan

Burton

. An electrohydraulic vibration exciter using a two-dimensional valve. Proc IMechE, Part I: J Systems and Control Engineering 2009; 223: 135–147.

15.

Wang

Quan

Zhang

, et al. Reduced-order model based active disturbance rejection control of hydraulic servo system with singular value perturbation theory. ISA Trans 2017; 67: 455–465.

16.

Shi

Yang

Gong

, et al. Determination of the cutterhead torque for EPB shield tunneling machine. Automat Constr 2011; 20: 1087–1095.

17.

Guan

Wang

Xiong

. Multi-input multi-output random vibration control of a multi-axis electro-hydraulic shaking table. J Vib Control 2014; 21: 329–335.

18.

Shi

Yang

Gong

, et al. Energy saving of cutterhead hydraulic drive system of shield tunneling machine. Automat Constr 2014; 37: 11–21.

19.

Wang

Gong

Zhou

, et al. Steady flow torques in a servo motor operated rotary directional control valve. Energy Convers Manage 2016; 112: 1–10.

20.

Cui

Ding

. Novel bidirectional rotary proportional actuator for electrohydraulic rotary valves. IEEE Trans Magn 2007; 43: 3254–3258.

21.

Zhuang

. Modeling and analysis of a rotary direct drive servovalve. Chinese J Mech Eng 2014; 27: 1064–1074.

22.

Matsuoka

Esumi

Ikeguchi

, et al. Optical and thrust measurement of a pulse detonation combustor with a coaxial rotary valve. Combust Flame 2012; 159: 1321–1338.

23.

Wang

Fan

Zhu

, et al. Experimental studies on rotary valves for single-tube pulse detonation rocket engines. Proc IMechE, Part G: J Aerospace Engineering 2014; 228: 262–270.

24.

McBee

Simoes

. Evaluating the long-term impact of a continuously increasing harmonic demand on feeder-level voltage distortion. IEEE Trans Ind Appl 2014; 50: 2142–2149.

25.

Duarte

Kagan

. A power-quality index to assess the impact of voltage harmonic distortions and unbalance to three-phase induction motors. IEEE Trans Power Deliver 2010; 25: 1846–1854.

26.

Chowdhury

Grady

Fuchs

. An investigation of the harmonic characteristics of transformer excitation current under nonsinusoidal supply voltage. IEEE Trans Power Deliver 1999; 14: 450–458.

27.

Demoulias

Goutzamanis

Gouramanis

. Analysis of the voltage harmonic distortion at buses feeding office loads. IET Sci Meas Technol 2009; 3: 286–301.

28.

Martin

Herrera

Vazquez

, et al. Unbalance and harmonic distortion assessment in an experimental distribution network. Electr Power Syst Res 2015; 127: 271–279.

29.

Dekka

Yaramasu

. Dual-stage model predictive control with improved harmonic performance for modular multilevel converter. IEEE Trans Ind Electron 2016; 23: 6010–6019.

30.

Rakesh

Narayanan

. Investigation on zero-sequence signal injection for improved harmonic performance in split-phase induction motor drives. IEEE Trans Ind Electron 2017; 64: 2732–2741.