含能材料热感度的概率分布研究

Probability Distribution of Thermal Sensitivity of Energetic Materials

假设Frank-Kamenetskii参数δ为正态分布的随机变量,应用单调函数的概率密度公式,得出了含能材料的热感度概率密度函数。在此基础上,计算了含能材料的热安全度。结果表明:含能材料的热感度不是正态分布,而是由几何因素(反应物的特征尺寸和反应物的几何形状)和物化因素(反应热、活化能、密度、频率因子、导热系数)决定的一种新的概率分布函数。计算结果表明:感度分布对热安全度起着决定性作用。

Supposing the Frank-Kamenetskii parameter 8 as stochastic variable of normal distribution, the thermal sensitivity probability density function of energetic materials was worked out, by the application of the probability density formula of monotone function, and the thermal safety degree of energetic materials was calculated. The results show that： the thermal sensitivity of energetic materials is not a normal distribution, but a kind of new probability density function deeided by geometric factors （the characteristic measurement of reactant and geometric shape of reactant） and chemical factors （quantity of reaction heat, activation energy, density, frequency factor, and thermal conductivity） , the value of safety degree is decided by the sensitivity distribution function.