摘要
应用拓广的随机因子法分析了物理参数和几何参数均为随机变量的齿轮-转子系统的时变固有频率。将系统的刚度矩阵和质量矩阵分解为具有相同随机因子的矩阵之和的形式,再由求解系统固有频率的瑞利商公式出发,将系统频率展成部分频率分量之和的形式,利用求解随机函数数字特征的代数综合法求解系统固有频率的数字特征。通过算例分析了随机参数对系统固有频率的影响,并验证了方法的可行、有效和正确性。
Based on the generalized random factor method,the time-variable natural frequencies were analyzed for the torsional vibration of a gear-rotor system with random physical and geometrical parameters.Its stiffness matrix and mass matrix were discomposed into a sum of matrices with same random factors,respectively.Based on the Rayleigh quotient formula,the natural frequencies of the system were changed into a sum of partial ones.And then the mathematic characteristics expressions of the natural frequencies were obtained by utilizing the algebra synthesis method.Finally,an example showed the influence of the randomness of the physical and geometrical parameters on the natural frequencies,and verified the feasibility of the proposed method.
出处
《工程力学》
EI
CSCD
北大核心
2011年第4期172-177,共6页
Engineering Mechanics
基金
国家自然科学基金项目(50905134)
关键词
随机参数齿轮-转子系统
固有频率
随机因子法
数字特征
代数综合法
gear-rotor system with random parameters
natural frequencies
generalized random factor method
mathematic characteristics
algebra synthesis method
