论文部分内容阅读
基于参数α=2的Gegenbauer正交多项式展开方法,研究了大变异系数情况下复合随机强Duffing体系的可靠性分析问题.应用随机空间的正交多项式展开方法,Edgeworth级数逼近技术求取了强非线性随机振动系统响应的前四阶矩以及概率密度函数.基于首次超越模型,讨论了复合随机强Duffing体系的可靠性分析问题.提出了系统动态可靠度与系统平均可靠度的区别、联系以及各自特点,发展了可靠度数值计算公式.分析计算结果与Monte-Carlo模拟结果较好符合,表明该方法的正确与有效.
Based on the Gegenbauer orthogonal polynomial expansion method with parameter α = 2, the reliability analysis of composite random strong Duffing system under large coefficient of variation is studied. By using orthogonal polynomial expansion method of random space and Edgeworth series approximation technique, The first four moments and the probability density function of the nonlinear stochastic vibration system.According to the first overtaking model, the reliability analysis of the stochastic strong Duffing system is discussed.The difference and connection between the system dynamic reliability and the system average reliability The numerical calculation formula of reliability is developed.The results of the analysis and calculation are in good agreement with the results of Monte-Carlo simulation, which shows that the method is correct and effective.