Abstract:

Based on interval factor method, system dynamic characteristic analysis for interval  elastic linkage mechanisms was presented. Its stiffness matrix and mass matrix were discomposed into a sum of matrixes with same interval factors, respectively. By using interval factor method, the interval parameters can be all expressed as the products of two parts corresponding to the interval factors and deterministic value. Based on the Rayleigh's quotient formula, the computational expressions for the lower, upper bonds and mean value of system dynamic characteristic were developed using the interval operations. The effects of the uncertainty of the bar length and radius, mass density and elastic modulus on mechanism dynamic characteristics were studied through an example.

Key words: interval parameter, interval factor method, elastic linkage mechanism, Rayleigh quotient, natural frequency

摘要：

应用区间因子法分析了具有区间参数的弹性连杆机构的固有频率,将系统的刚度矩阵和质量矩阵分解为具有相同区间因子的矩阵之和的形式,利用区间因子法将区间变量表示为其区间因子和确定性量的乘积,再从求解系统固有频率的瑞利商公式出发,应用区间算法,推导出了系统固有频率上下限与均值的计算表达式。通过算例,分析了机构物理参数和几何尺寸的不确定性对机构固有频率的影响。
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关键词: 区间参数, 区间因子法, 弹性连杆机构, 瑞利商, 固有频率