区间参数智能梁结构开环系统动力特性分析

以区间参数压电智能梁结构为研究对象，在材料性能参数和几何尺寸为区间变量时采用区间分析法建立了结构质量矩阵和刚度矩阵的区间模型。从求解结构振动动态特性的Rayleigh商出发，利用区间变量运算法则推导出了结构开环系统固有频率的数字特征表达式。通过算例，考察了区间参数对结构固有频率特性的影响，验证了所建模型和方法的可行性与合理性。研究结果表明，文中利用区间系数分析法来研究压电智能梁结构开环系统的动力特性具有一定的工程应用价值。

Dynamic characteristic analysis of an open-loop system for an intelligent beam with interval parameters

Structures with a piezoelectric intelligent beam were taken as study objects here.According to the method of interval analysis,the interval models of mass matrix and stiffness matrices with interval variables for structural physical parameters and geometric dimensions were built.From Rayleigh quotient for dynamic characteristic of structural vibration,and based on the interval algorithms,the computation expressions of natural frequencies of a structural open-loop system were deduced.Through an example,the effects of the uncertainty of the structural interval parameters on the structural natural frequency were inspected,and the model constructed and the method proposed here were verified.It was shown that the interval coefficient method is applicable in dealing with the dynamic characteristic of an open-loop system of an intelligent beam.