Measurement method of tooth friction force for helical gears by laser displacement sensor
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(2020) 42:338
TECHNICAL PAPER
Measurement method of tooth friction force for helical gears by laser displacement sensor Hanjun Jiang1,2 · Xiaojie Sun3 · Fuhao Liu2 Received: 18 May 2019 / Accepted: 30 April 2020 © The Brazilian Society of Mechanical Sciences and Engineering 2020
Abstract Tooth friction force between the mesh teeth is a non-negligible excitation source for gear vibration and noise. However, the accurate measurement of the tooth friction force in mesh is very difficult, especially for helical gears. In this paper, a method for measuring the tooth friction force in helical gears is proposed by using a laser displacement sensor. The tooth friction force is obtained based on the bending deformation and the bending stiffness of the output shaft in the direction of the friction force. System errors of the gearbox are minimized by preload and locking device, and the measurement error is compensated according to the geometric positional relationship of the output shaft with and without the action of the mesh force. Experimental measurement is carried out by using an example of helical gears and compared with theoretical model. Experimental results have been shown that the magnitude and trend of the tooth friction force by measurement are basically the same with the theoretical calculations, which illustrate the effectiveness of the measurement method. It is also observed that both the tooth friction forces from the measurement and the theoretical model change direction twice in one mesh circle. Keywords Measurement method · Tooth friction · Laser displacement sensor · Errors minimization and compensation
1 Introduction Gear transmission has many outstanding advantages, such as compact structure, steady transmission, high transmission efficiency and strong load capacity. It has been widely used in aerospace, wind turbine, mine machinery and transportation. As the requirements of a comfortable working environment become higher and higher, the research and control of gear vibration and noise become very urgent. Transmission error (TE) is considered as the main excitation of gear vibration and noise and is defined as the deviation of the driven gear, from the position it would occupy if the gears were perfect [1]. This error can be represented in terms of a relative displacement along the line of action Technical Editor: Zilda de Castro Silveira, Ph.D. * Hanjun Jiang [email protected] 1
School of Mechanical and Automotive Engineering, Qingdao University of Technology, Qingdao, China
2
College of Automobile Engineering, Yancheng Institute of Technology, Yancheng, China
3
Affiliated Hospital of Qingdao University, Qingdao, China
of the gears [2, 3]. TE causes vibration and noise as a result from mesh forces variation at the gear contact, the vibration transmitted through the shaft and radiated noise from the cabinet [4, 5]. Experiments have been made by Houser et al. [6] from spur gears and helical gears, and they found that the predicted transmission error and measured sound power levels
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