爆炸容器力学安全的敏感度分析方法

Sensitivity Analysis of Mechanical Safety of Explosion Vessel

为识别爆炸容器力学安全敏感因素,建立了基于拉丁超立方抽样(LHS)和Spearman偏秩相关分析方法的参数敏感度分析模型。采用该模型对某容器内爆炸过程进行了大量数值模拟和统计分析,给出了相关因素的敏感度大小及排序,分析了样本量、参数分布类型及参数取值范围对敏感度分析结果的影响,并与其他敏感度分析方法进行了比较。结果表明,对所研究的爆炸容器,体积比内能、屈服强度为影响容器力学安全的最敏感因素,切线模量为较敏感因素,而弹性模量、泊松比为不敏感因素;且体积比内能与容器应变正相关,泊松比与容器应变不相关,其他因素与容器应变负相关。本研究建立的爆炸容器力学安全敏感度分析方法可用于各类爆炸容器的力学安全敏感因素分析,为优化容器设计和促进试验安全提供了量化依据。

To identify the sensitive factors in mechanical safety of explosion vessels, a parameter sensitivity analysis model based on the Latin Hypereube Sampling （LHS） and the Spearman partial rank correlation analysis methods is built. A great number of numerical simulations and statistical analyses were carried out for the explosion process in a hermetic vessel with this model, the sensitivity values and the orders of related factors were obtained, the impacts of the sample sizes, the parameter distribution types and the parameter＂ value ranges on the sensitivity results were analyzed, and a comparison between the method in this paper and other sensitivity analysis methods was inade. It is shown that the volumetric internal energy and the yield strength are the most sensitive factors in mechanical safety of the sample vessel, the tangent modulus is a relatively sensitive factor, while the elastic modulus and the Poisson＇s ratio are insensitive factors. It is also shown that the volumetric internal energy has a positive correlation with the vessel strain, the Poisson＇s ratio has no correlation with the vessel strain, while other factors have negative correlations with the vessel strain. The sensitivity analysis method presented in this paper can be used for the sensitivity analysis of various explosion vessels, to provide a quantitative basis for optimizing the vessel safety design and to enhance the safety in tests.