在弹药检验中的一阶数值微分法及其误差分析

FIRST ORDER NUMERICAL DIFFERENTIATION AND ITS ERROR ANALYSIS IN PROPELLANT INSPECTION

在火药性能分析、产品验收及弹道模拟等技术应用中,密闭爆发器p～t曲线的微分曲线dp/dt～t起着至关重要的作用。数值微分法是获得微分曲线的一种有效的方法和手段。本文应用计算方法理论和概率统计知识,对数值微分法所产生的拟合误差和随机误差进行了详细的推导和分析,对数值微分方法的选定和误差估计,将具有一定的理论指导意义。

The dp/dt vs. t curve producd from the p vs. t curve in closed bombs is widely used in analyzing of propellant properties, inspecting of ammunitions and simulating of ballistic characteristics. Numerical Differentiation is a major way of obtaining the differentiation curve. With the help of the theory of numerical calculation and probability, this paper derives and analyzes the fitness error and random error in the numerical differentiation in details. That is theoretical significance in choosing of numerical differentiation and estimating of its error.