1. 西安空间无线电技术研究所
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张学刚. 一种改进响应面法结构可靠度计算方法[J]. 机械强度, 2018,40(6):1382-1388.
ZHANG XueGang. STRUCTURAL RELIABILITY ANALYSIS BASED ON AN IMPROVEMENT OF THE RESPONSE SURFACE METHOD[J]. 2018,40(6):1382-1388.
张学刚. 一种改进响应面法结构可靠度计算方法[J]. 机械强度, 2018,40(6):1382-1388. DOI: 10.16579/j.issn.1001.9669.2018.06.018.
ZHANG XueGang. STRUCTURAL RELIABILITY ANALYSIS BASED ON AN IMPROVEMENT OF THE RESPONSE SURFACE METHOD[J]. 2018,40(6):1382-1388. DOI: 10.16579/j.issn.1001.9669.2018.06.018.
为了减少设计的样本点以及充分利用样本点信息资源,采用了一种改进响应面法结构可靠度计算方法。利用可靠度指标作为收敛条件,在迭代过程中采用混合响应面法,即第一次迭代响应函数采用一次多项式,其余迭代步都采用不含交叉项的二次多项式,在迭代收敛后运用样本重用思想并利用加权响应面法来逼近真实的极限状态方程,即从所有样本点中选取靠近真实失效曲线处的样本点利用含交叉项的完全二次多项式并对所选样本点进行加权来构造响应曲线,最后通过蒙特卡洛抽样的方法计算可靠度。多个数值算例表明,该方法构造出的响应曲线能够很好地逼近失效曲线,有效地提高可靠度计算精度,同时采用混合响应面法可以减少设计的样本点,在工程应用中可减少计算时间。
In order to reduce sample points and make full use of information resources of sample points, an improvement of the response surface method for structural reliability analysis was developed, that structural reliability index was regarded as convergence condition. The method used mixed response surface method during iterations, at the first iteration a linear response surface function was used, at the following iteration a quadratic polynomial response surface without mixed terms was used. Then the sample points near the failure boundary from all sample points were selected after convergence, the limit state function was built by a quadratic polynomial response surface with mixed terms and square terms, and finally the structural reliability was calculated by the Monte Carlo method. Numerical examples show that the response function is able to approximate the real failure curve, and effectively improves the reliability calculation accuracy, using mixed response surface method during iterations sample points are reduced, in other words computing time in engineering are decreased.
结构可靠度样本重用混合响应面加权响应面蒙特卡洛
Structural reliabilitySample points reusedMixed response functionWeighted response functionMonte Carlo
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