区间参数桁架结构动力特征值分析的概率处理

将不确定桁架结构中的区间参数用随机变量来表示,对获得的广义区间特征值方程的求解方法进行了研究,提出了一种简洁的算法。此方法假定各区间参量在允许取值区间内为具有熵最大的矩形分布,各随机变量在所定义区域内均匀分布并假设它们彼此独立,将区间特征值方程的求解采用概率理论来处理,再利用随机因子算法,来确定结构动力特征值边界,并与用随机正态分布变量描述的区间求解做了比较。通过实际工程算例对本文方法的有效性进行了验证,并与其他算法进行了比较。

Dynamic Eigenvalues Analysis of Structures with Interval Parameters Using Probabilistic Theory

Solution to a generalized eigenvalues interval equation is studied by denoting the interval parameters of uncertain structure with random variables,and a concise algorithm is presented.The interval variables are supposed to be rectangle distribution with maximum entropy in allowable range,and the random variables obey a uniform distribution in its definition domain on the assumption that they are independent each other.The solution to the interval eigenvalue equations is achieved by using the probabilistic ...