高压物理学报2025，Vol.39Issue(2)：31-39,9.DOI:10.11858/gywlxb.20240862
基于活跃子空间的爆压不确定度传递分析
Uncertainty Propagation Analysis of Detonation Pressure Based on Active Subspace
摘要
Abstract
Uncertainty cannot be eliminated in the indirect calibration of the detonation pressure,and the predictability and credibility of the model can be enhanced through uncertainty quantification of the detonation pressure.However,the indirect calibration function of the detonation pressure exhibits complex nonlinearity coupled with multiple inputs,making the study of uncertainty propagation of detonation pressure prone to issues such as the"curse of dimensionality".Active subspace is proven to be an effective tool for handling uncertainty quantification of the detonation pressure model.The specific steps are as follows:to begin with,the covariance matrix is derived based on gradient of the system response quantity(SRQ).Then an active variable is deduced through the Monte Carlo method,which is the direction whose perturbations produce the greatest change in SRQ.A single derived active subspace is used as the input uncertainty instead of the six parameters.The"curse of dimensionality"can be relieved in this case.Finally,a fourth-order polynomial response surface model is established based on a one-dimensional active variable.The results show that the effects of input uncertainty on SRQ are successfully characterized using the means of the active subspace technique.The test data fall within the confidence interval of the predicted values from the surrogate model,and the predictive capability of the detonation pressure model is validated.The study also reveals that there is a significant degree of dispersion in detonation pressure,which is consistent with the viewpoint of Prof.Chengwei Sun.Furthermore,a new detonation pressure model is constructed in this paper.This model is a composite operation between an affine transformation and a polynomial function.It retains the characteristic of a concise form,sufficient smoothness,strong robustness,and fast computation.The input of the model is a random variable rather than a fixed value,and the polynomial coefficients remain unchangeable when it confronts the variability of input uncertainty.The research is an extension and development of previous scholars.Moreover,the research methodology is systematic,which can be applied to detonation pressure prediction for other types of explosives.关键词
活跃子空间/不确定度量化/爆压/响应面模型/降维Key words
active subspace/uncertainty quantification/detonation pressure/surface model/dimension reduction分类
数理科学引用本文复制引用
梁霄,范孟君,王言金,王瑞利..基于活跃子空间的爆压不确定度传递分析[J].高压物理学报,2025,39(2):31-39,9.基金项目
国家自然科学基金(12171047) （12171047）
国家自然科学基金委-中国工程物理研究院NSAF联合基金(U2230208) （U2230208）
山东省自然科学基金(ZR2021BA056) （ZR2021BA056）
国家留学基金委公派访学项目(CSC202308370209) （CSC202308370209）
