燃气燃爆实验数据的多约束B样条曲线拟合

样条拟合是数据处理的重要方法,该文给出一个实际工程中多条件约束拟合的典型实例.燃气燃爆分析是涉及安全生产的重要问题,精确安全的燃爆边界有助于危险预测和控制.该文对消防公司的实验数据进行分析,基于多约束样条拟合方法,给出了油气燃爆界和爆炸强度曲线.具体地,将燃气燃爆不同特性转化数学约束条件并做合理简化,在这些约束条件下进行曲线拟合,得到具备燃爆特征的爆炸强度曲线.该方法不受维数限制,可以推广用于多因素燃爆分析.

Fitting B-spline Curves to Gas Explosion Data Points with Multi-constraints

Fitting data points by spline curves is an important method of data processing. A typical example of fitting with multi-constraints in project is presented. Gas explosion analysis is an important issue related to production safety. Precise and safe explosive boundaries are helpful to hazard prediction and control. This paper analyzes the experimental data obtained from the firefighting company, and provides the explosion bounds and explosive strength based on multi-constrained spline fitting method. Specifically, different characteristics of the gas explosion are converted to mathematical constraints and then are simplified appropriately. Fitting B-spline curves to the data points under these conditions results in the explosive strength curves with the explosive characteristics. This method can be generalized to multi-factor explosion analysis, not restricted to dimensions.