Establishment Method of a Mixture Model and Its Practical Application for Transmission Gears in an Engineering Vehicle  

作　　者：WANG Jixin WANG Zhenyu YU Xiangjun YAO Mingyao YAO Zongwei ZHANG Erping 

机构地区：[1]College ofMechanicalScience andEngineering, Jilin University, Changchun 130022, China [2]School of Automatic Control and Mechanical Engineering, Kunming University, Kunming 650214, China [3]Guangxi Liugong Machinery Co., Ltd., Liuzhou 545007, China

出　　处：《Chinese Journal of Mechanical Engineering》2012年第5期1001-1010,共10页中国机械工程学报（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 50805065, 51075179)

摘　　要：Highly versatile machines, such as wheel loaders, forklifts, and mining haulers, are subject to many kinds of working conditions, as well as indefinite factors that lead to the complexity of the load. The load probability distribution function （PDF） of transmission gears has many distributions centers; thus, its PDF cannot be well represented by just a single-peak function. For the purpose of representing the distribution characteristics of the complicated phenomenon accurately, this paper proposes a novel method to establish a mixture model. Based on linear regression models and correlation coefficients, the proposed method can be used to automatically select the best-fitting function in the mixture model. Coefficient of determination, the mean square error, and the maximum deviation are chosen and then used as judging criteria to describe the fitting precision between the theoretical distribution and the corresponding histogram of the available load data. The applicability of this modeling method is illustrated by the field testing data of a wheel loader. Meanwhile, the load spectra based on the mixture model are compiled. The comparison results show that the mixture model is more suitable for the description of the load-distribution characteristics. The proposed research improves the flexibility and intelligence of modeling, reduces the statistical error and enhances the fitting accuracy, and the load spectra complied by this method can better reflect the actual load characteristic of the gear component.Highly versatile machines, such as wheel loaders, forklifts, and mining haulers, are subject to many kinds of working conditions, as well as indefinite factors that lead to the complexity of the load. The load probability distribution function （PDF） of transmission gears has many distributions centers; thus, its PDF cannot be well represented by just a single-peak function. For the purpose of representing the distribution characteristics of the complicated phenomenon accurately, this paper proposes a novel method to establish a mixture model. Based on linear regression models and correlation coefficients, the proposed method can be used to automatically select the best-fitting function in the mixture model. Coefficient of determination, the mean square error, and the maximum deviation are chosen and then used as judging criteria to describe the fitting precision between the theoretical distribution and the corresponding histogram of the available load data. The applicability of this modeling method is illustrated by the field testing data of a wheel loader. Meanwhile, the load spectra based on the mixture model are compiled. The comparison results show that the mixture model is more suitable for the description of the load-distribution characteristics. The proposed research improves the flexibility and intelligence of modeling, reduces the statistical error and enhances the fitting accuracy, and the load spectra complied by this method can better reflect the actual load characteristic of the gear component.

关 键 词：mixture distribution model probability distribution function correlation coefficient load spectra wheel loader 

分 类 号：O121.5[理学—数学] TV698.11[理学—基础数学]