Explicit reliability sensitivities of linear structures with interval uncertainties under stationary stochastic excitation
Explicit reliability sensitivities of linear structures with interval uncertainties under stationary stochastic excitation
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DOI：
10.1016/j.strusafe.2014.03.001
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发表时间：
2015
影响因子：
5.8
通讯作者：
G. Muscolino;R. Santoro;A. Sofi
中科院分区：
文献类型：
--
作者：
G. Muscolino;R. Santoro;A. Sofi
解决了参数不确定的随机激励线性结构的可靠性灵敏度评估问题。激励被建模为平稳高斯随机过程。通过应用区间模型，在非概率框架内处理影响结构参数的不确定性。在独立向上交叉指定阈值的假设下，提出了区间可靠性灵敏度的分析推导程序。关键思想是通过额外酉区间应用改进的区间分析，并结合经过修改的区间矩阵逆的新颖级数展开，在频域中执行随机分析，本文称为区间有理级数展开（IRSE）。这种方法产生区间响应统计和结构可靠性及其对不确定参数的敏感性的近似显式表达式。可靠性敏感性提供了有用的信息来提高安全水平，并且还可以在一阶区间泰勒级数展开的背景下利用，以在涉及轻微不确定性时估计区间可靠性的界限。对具有区间刚度特性的风激桁架结构进行了分析，以表明该方法的有效性。
Reliability sensitivity evaluation of randomly excited linear structures with uncertain parameters is addressed. The excitation is modeled as a stationary Gaussian random process. Uncertainty affecting structural parameters is handled within a non-probabilistic framework by applying the interval model. Under the assumption of independent up-crossings of a specified threshold, a procedure for the analytical derivation of interval reliability sensitivity is presented. The key idea is to perform stochastic analysis in the frequency domain by applying theimproved interval analysis via extra unitary intervalin conjunction with a novel series expansion of the inverse of an interval matrix with modifications, herein calledInterval Rational Series Expansion(IRSE). This approach yields approximate explicit expressions of interval response statistics and structural reliability along with their sensitivities with respect to the uncertain parameters. Reliability sensitivities provide useful information to increase the safety level and can be also exploited in the context offirst-order interval Taylor series expansionto estimate the bounds of interval reliability when slight uncertainties are involved. A wind-excited truss structure with interval stiffness properties is analyzed to show the effectiveness of the proposed procedure.