荷载平稳二项随机过程简化组合方法

为了解决荷载平稳二项随机过程组合方法在求解时段组合幅值的最大熵概率密度函数时求解高度非线性方程组计算复杂,不便于实际工程应用的不足.本文根据荷载时段组合幅值的概率特点,以两参数的极值Ⅰ型来描述其概率特征,建立了简化的组合方法.根据数值模拟试验和实测风浪资料计算结果表明本文极值Ⅰ型与最大熵分布都能很好的描述时段组合幅值的概率特征,并且具有一致性;当计算不同重现期极值组合荷载时,本文简化方法计算的结果偏于保守.

Simplified combination method for stationary binomial of loads

Firstly the combination method for stationary binomial process of load is introduced simply. The method has some difficult in practical engineering because the method need to calculate nonlinear equation when maximum entropy distribution of load is solved. According to probabilistic property of extreme value of combination load in time-interval, Extreme I Distribution with two parameters can describe this property. So the simplified combination method is established with Extreme I Distribution instead of maximum entropy distribution. The calculating results with numerical simulative data and observed wind and wave data indicate that both Extreme I Distribution and maximum entropy distribution can describe the probabilistic property of extreme value of combination load in time-interval and are identical in characterizing its probabilistic property. But when the extreme values of combination load of different return are calculated, the calculating results with the simplified combination method are little larger than the results with the original combination method.