平稳随机激励下随机参数齿轮副的动力可靠性分析  

DYNAMIC RELIABILITY ANALYSIS OF GEAR WITH STOCHASTIC PARAMETERS UNDER STATIONARY RANDOM EXCITATION

作　　者：魏永祥[1] 陈建军[1] 王敏娟[1] 王晓珍[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《机械强度》2011年第1期6-10,共5页Journal of Mechanical Strength

基　　金：国家863高技术研究发展计划项目(2006AA04Z402)资助~~

摘　　要：将一对啮合齿轮等效为单自由度随机振动系统,研究随机参数齿轮副在平稳随机激励下的动力可靠度的求解方法。从其平稳随机响应的表达式出发,同时考虑齿轮物理参数、几何尺寸的随机性,利用求解随机变量数字特征的矩法和代数综合法,导出随机参数齿轮副在平稳随机激励下位移及其导数响应的数字特征,再由动力可靠度的公式导出随机参数齿轮副动力可靠度的均值和方差的计算公式。通过与MonteCarlo方法结果的比较,验证文中方法的可行性和有效性。A method of calculating dynamic reliability of gear with stochastic parameters stationary random excitation is discussed under the condition of single degree random vibration. Considering the randomness of the structural physical parameters and the geometric dimensions parameters and utilizing the random variable＇s functional moment method and the algebra synthesis method, the mean value and the variance of the mean square value of the structural displacement and stationary random excitation are computed firstly from the expressions of system stationary response in frequency domain. And then the expressions of the mean value and the variance of stochastic gear dynamic reliability are educed from the Poisson formula of calculating dynamic reliability. Finally, the influence of the randomness of system physical and geometric dimensions parameters on the system dynamic reliability is analyzed through comparing with the Monte Carlo method, validating the feasibility of this method.

关 键 词：动力可靠性 随机参数齿轮副 平稳随机激励 随机变量 数字特征 随机因子法 

分 类 号：TB114.3[理学—概率论与数理统计] O324[理学—数学]