随机参数链式机械系统动力特性分析  

Dynamic characteristics of the analysis of stochastic chain mechanical system

作　　者：陈建军[1] 赵颖颖[1] 黄居锋[1] 拓耀飞[1] 

机构地区：[1]西安电子科技大学机电工程学院,陕西西安710071

出　　处：《西安电子科技大学学报》2005年第6期829-832,838,共5页Journal of Xidian University

基　　金：陕西省自然科学基金资助项目(D7010418)

摘　　要：对求解结构固有频率的传递矩阵进行扩阶,推导了链式机械系统振动分析的扩阶传递矩阵算式.利用扩阶的传递矩阵和系统的边界条件建立了求解系统固有频率的高次代数方程,并应用数值方法求解.建立了随机性结构参数的链式机械系统动力特性分析模型,利用Monte Carlo数值模拟方法获得系统的特征值随机变量的数字特征.两个算例验证了这种模型的合理性和求解方法的正确性,计算出随机参数机械系统固有频率的均值和方差,分析了结构参数的随机性对系统动力特性的影响.The extended transfer matrix of the structural vibration analysis is derived by using the expansion to the transfer matrix to solve structural dynamic characteristic analysis. The algebra equation for calculating the natural frequency is estabilished by using the extended matrix and the structural boundary condition. The natural frequency can be calculated using the numerical value method for the equation and a facility method to solve the natural frequency of chain structures is obtained. Considering the randomness of the structural parameters, the model of the structural dynamic characteristic analysis is founded and the digit characteristics of file natural frequency is obtained using the Monte Carlo random simulation methods. The correctness and facility of the theory and method presented in this paper are checked by two examples. The mean value and file mean square value of the structural natural frequency are calculated, and the effect of the stochastic parameters on structural dynamic characteristic is analyzed.

关 键 词：随机链式机械系统 扩阶传递矩阵 随机变量 动力特性分析 

分 类 号：O324[理学—一般力学与力学基础] TH133[理学—力学]