热爆炸试验数据处理中采用近似时的误差分析

采用自研热爆炸装置对炸药A进行了热爆炸试验，采用指数形式拟合了温度与延滞期的关系，分析了拟合方程在不同温度条件下的近似结果及近似处理时的误差。分析了在lnt与1/T存在线性关系的温度范围内，采用有限个数据点去外推时的误差及外推时试验数据选取的原则。采用多种方式计算临界区域和超临界区域绝热至爆时间及各种近似处理的误差。结果表明：对于炸药A而言，采用指数拟合时延滞期误差最大为20%；当温度大于480 K时可以认为是远大于临界温度，近似所产生的误差为1.2%；在452.15～461.15 K温度范围内 lnt与1/T存在线性关系。采用接近临界温度的数据外推时更接近真实值；在临界值附近的数据越多外推时越精确；在热爆炸试验设计和数据处理时要选择热爆炸临界温度附近的试验点。

Error Analysis of Data Processing by Using Approximate Time on Thermal Explosion Test

Thermal explosion tests on explosive A were conducted on the self-developed thermal explosion test instrument, with the fitting of the relationship between temperature and time to ignition. Various expressions through approximate processing under different temperatures were gained with the corresponding processing errors analyzed. The error of extrapolating from limited data points and the principles of data choice were analyzed in the temperature range in which natural logarithm of time to ignition (lnt) has the linear relationship with temperature (T). The characteristics of critical region and supercritical region were described and adiabatic time to explosion was calculated through several ways with the error analysis. Results showed that for explosive A, the maximal error of time to ignition is 20% using the exponential equation to fit the temperature and time to ignition directly, and temperature above 480 K can be regarded to exceed far from the critical temperature with error 1.2%. In the temperature range 452.15~461.15 K, the linear relationship between lnt and T exists, and the extrapolating outcome is closer to the real value when more data closer to the critical temperature are used and data points closer to critical temperature are preferred when design thermal explosion test and data processing.