基于改进四阶矩的齿轮可靠性研究  

RESEARCH ON GEAR RELIABILITY BASED ON IMPROVED FOURTH MOMENT

作　　者：王春荣 周福平[1] 夏尔冬 高浩[2] WANG ChunRong;ZHOU FuPing;XIA ErDong;GAO Hao(College of Mechanical and Electrical Engineering,Fujian Agriculture and Forestry University,Fuzhou 350002,China;School of Mechanical and Electrical Engineering,Sanming University,Sanming 365004,China)

机构地区：[1]福建农林大学机电工程学院,福州350002 [2]三明学院机电工程学院,三明365004

出　　处：《机械强度》2024年第3期636-642,共7页Journal of Mechanical Strength

基　　金：国家重点研发计划(2020YFB2010100);国家科技项目备案(2021L3029);福建省科技重大专项(2022HZ026025);福建省自然科学基金项目(2022J011181);三明市引导性科技项目(2021⁃G⁃7);三明市产学研协同创新项目(2022⁃G⁃13)。

摘　　要：齿轮是最常用的传动部件,其常见的失效模式为齿面点蚀与齿根断裂。为了快速、精确地对其进行可靠性分析,提出了一种考虑失效相关的改进四阶矩法。首先,根据失效机制分别建立齿面接触疲劳与齿根弯曲断裂失效的可靠性模型。其次,为提高传统四阶矩求解精度,先使用改进一次二阶矩法求出的二阶可靠性指标,再求得新四阶可靠性指标,从而提高单一失效模式的可靠性求解精度;然后,基于条件概率降维法计算多失效模式间的相关度及考虑失效相关时的整体失效概率。最后,以某系统的传动齿轮为例,比较了所提方法、均值一次二阶矩(Mean Value First Order Second Moment,MVFOSM)法、改进一次二阶矩(Advanced First Order Second Moment,AFOSM)法和传统高阶矩标准化技术(High-Order Moment Standardization Technique,HOMST)法的计算效果。结果显示,所提方法在精度和效率上都得到了较大的提升,提供了一种分析多失效模式可靠性的理论方法。Gear is the most commonly used transmission component,and its most common failure mode is tooth surface pitting and tooth root fracture.In order to analyze its reliability quickly and accurately,an improved fourth moment method considering failure correlation was proposed.Firstly,according to the failure mechanism,the reliability models of tooth contact fatigue and tooth root bending fracture failure were established respectively.Secondly,in order to improve the accuracy of the traditional fourth order moment solution,the second order reliability index obtained by the improved first order second moment method was used to obtain the new fourth order reliability index,so as to improve the reliability solution accuracy of single failure mode;Then,the correlation between multiple failure modes and the overall failure probability considering failure correlation were calculated based on the conditional probability dimension reduction method.Finally,taking the transmission gear of a system as an example,the calculation results of the proposed method,mean value first order second moment(MVFOSM)method,advanced first order second moment(AFOSM)method and traditional high⁃order moment standardization technique(HOMST)method were compared.The results show that the accuracy and efficiency of the proposed method are greatly improved,and it also provides a theoretical method to analyze the reliability of multiple failure modes.

关 键 词：齿轮 四阶矩 多失效模式 可靠性 

分 类 号：TB114.3[理学—概率论与数理统计]