journal article·2020-03-27Open access

A Detailed Investigation of Gear Body-Induced Tooth Deflections and Development of an Improved Analytical Solution

Hongsheng Zhang, Jun Pan, Meng Rao, Zhengwei Li, Xihui Liang

Applied Sciences· Volume 10· Issue 7

Abstract

Many researchers have developed analytical methods to evaluate gear meshing stiffness. Some of these methods ignored the effect of the gear body while others used a simplified model to consider its effect. Until now, a detailed investigation of gear body-induced tooth deflections has been rare, especially for the double-tooth-pair meshing period. In this study, we present a detailed investigation of gear body-induced tooth deflections. To be specific, we will discuss how to accurately evaluate gear body-induced tooth deflections using the finite element analysis, and what are the effect of parameters such as loading and gear parameters on gear body-induced tooth deflections. Then, an improved solution is developed for evaluating the body-induced tooth deflection. In the single-tooth-pair meshing period, the improved formula is developed based on a popular formula proposed by Sainsot and Velex. This is achieved by optimizing the coefficients used in their formula to make the formula more accurate to evaluate gear body-induced tooth deflections. Meanwhile, we introduce a new term called affiliated body stiffness to evaluate the body-induced tooth deflections in the double-tooth-pair meshing period. The improved method can give higher accuracy in evaluating gear body-induced tooth deflections of spur gears with a pressure angle of 20°.
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Research context

OpenAlex topics: Gear and Bearing Dynamics Analysis · Tribology and Lubrication Engineering · Mechanical Engineering and Vibrations Research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China

National and Local Joint Engineering Research Center of Reliability Analysis and Testing for Mechanical and Electrical Products, Zhejiang Sci-Tech University, Hangzhou 310018, China

Department of Mechanical Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada

Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, Canada

Funding

Harbin Institute of Technology Key Laboratory Open Fund, China · Natural Sciences and Engineering Research Council of Canada · the International S&T Cooperation Program of China · the University of Manitoba University Research Grants Program

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