可信度约束区间参数天线结构动力特性分析

Dynamic Characteristics Analysis of Interval Antenna Structures with Confidence Constraints

文中构建了物理参数和几何参数同时具有区间不确定性的天线结构动力特性分析模型,并提出了基于可信度约束的结构动力特性分析方法;定义了具有可信度约束的区间运算规则;利用区间数学表述和结构振动中的Rayliegh商,推导出结构特征值的计算表达式。理论分析表明:区间参数天线结构各阶固有频率取某可能区间的可信度与各参数取值可信度的趋势是一致的。算例给出了区间参数天线结构的特征值可能值及其可信度的计算结果,表明该方法的可行性和有效性。所提方法从实际数据出发,充分利用客观的不确定性信息,结果更符合客观实际,并在一定程度上反映了天线结构固有频率结果的分布趋势。

The dynamic characteristics analysis model of antenna structures is built,in which the structural physical parameters and geometrical dimensions are all considered as interval variables with confidence constraints.And a structure dynamic characteristic analysis method based on the interval factor method with confidence constraints is given.The arithmetic operation rules of interval analysis with confidence constraints are defined.By the mathematics expressions of interval factor and Rayliegh quotient,the computational expression of structural characteristic is developed.The theoretical analysis shows that the trend of each order natural frequency taking certain value is consistent with that of each parameter taking value.At last,an example is given,in which the possible intervals and confidences of the uncertain structure eigenvalues are obtained.The feasibility and validity of the presented method are demonstrated.The proposed method embarks from actual data,and makes full use of the objective uncertain information.Then the obtained results are more accord with objective reality,reflecting the distribution trends of antenna structure nature frequency in some extent.