Uncertainty quantification for transmissibility functions utilizing an efficient numerical method
The distributions of ratios of random variables arise in many applied problems such as scalar transmissibility functions in structural dynamics.When solving the distribution properties for ratio random variable through the definition of probability density function(PDF),the problem is usually accompanied by multiple integrals and complicated derivatives.In this study,a unified solution is presented to address the issues aforementioned.The unified approach is able to efficiently calculate the PDF of a ratio random variable with its denominator and nominator specified by arbitrary probability distributions.With the use of probability density transformation principle,a unified expression can be derived for the ratio random variable by reducing the concerned problem into two-dimensional integrals for complex-valued case.As a result,the PDFs of the ratio random variable can be efficiently computed by using effective numerical integration technique.Monte Carlo simulation(MCS)is used to verify the proposed scheme.Finally,based on the vibration tests performed on the Alamosa Canyon Bridge,the proposed method is applied to the data in an attempt to quantify the uncertainty of scalar transmissibility function.
PDF ratio distribution numerical integration structural dynamics
Meng-Yun Zhao Wang-Ji Yan Wei-Xin Ren
Department of Civil Engineering,Hefei University of Technology,Hefei,China
国际会议
The 7th World Conference on Structural Control and Monitoring(7WCSCM)(第七届结构控制与监测世界大会)
青岛
英文
1842-1849
2018-07-22（万方平台首次上网日期，不代表论文的发表时间）