区间参数相关性的智能梁结构动力特性分析  

Dynamic characteristic analysis of intelligent beams structures based on the correlation of interval parameters

作　　者：王敏娟[1,2] 陈建军[1] 周育保 云永琥[1] 马洪波[1] 

机构地区：[1]西安电子科技大学电子装备结构设计教育部重点实验室,陕西西安710071 [2]西安邮电大学自动化学院,陕西西安710121 [3]中国航天科技集团第九研究院第771研究所,陕西西安710075

出　　处：《西安电子科技大学学报》2013年第3期126-131,共6页Journal of Xidian University

基　　金：国家自然科学基金资助项目(50905134)

摘　　要：研究了基于区间参数相关性的智能梁结构动力特性问题.将区间变量分解成区间系数与确定性量乘积的形式,假定各区间系数在区间内服从随机矩形分布,在考虑随机参数相关性的情况下,利用求解随机变量函数的矩法来获得区间特征值方程的均值和均方差,通过求解矩形分布函数的数学期望和方差的数学表达式来确定结构动力特征值的上下界;通过工程实例对该方法的可行性和有效性进行了验证,并与考虑区间变量彼此独立时以及区间参数相关程度不同时的计算结果进行了比较.The problem of intelligent beam structural dynamic characteristic is studied under the condition that interval physical parameters are correlative. Firstly, the interval variables are turned into the product of the interval coefficients by the certain portion, and the interval coefficients are supposed to be of an allowable range, with the random variables obeying random rectangle distribution in the definition region. Secondly, The mean value and variance of interval eigenvalues equations are deduced by the Moment method for random variable function solutions under the condition that they are correlative each other. The bounds of eigenvalues are obtained by the mean value and variance of rectangle distribution. Finally, the feasibility and validity of this approach are verified by an engineering example. For comparisons, the corresponding eigenvalues ranges are obtained on the assumption that the interval variables are independent of each other and interval parameters are different in correlation.

关 键 词：智能梁 动力特性 区间分析 随机因子 

分 类 号：O242[理学—计算数学] TB122[理学—数学]