修正的Friedlander方程指数衰减因子

Analysis on an exponential attenuation factor in the modified Friedlander equation by overpressure tests

1.
National Defense Key Laboratory of Electronic Testing Technology, North University of China, Taiyuan 030051, Shanxi, China;
2.
School of Science, North University of China, Taiyuan 030051, Shanxi, China

摘要: 发现修正的Friedlander方程中指数衰减因子的对数的对数是时间的线性函数，运用该规律得出了一个能够精确描述冲击波超压随时间传播规律的数学模型。与实测信号比较表明,该模型能够精确地表达冲击波随时间传播规律,具有一定的通用性和预测性。
- 爆炸力学 /
- 指数衰减因子 /
- 超压测试 /
- Friedlander方程 /
- 空中爆炸 /
- 超压
Abstract: The modified Friedlander equation was introduced to analyze the explosive shock-wave overpressure transmission varied with time in air. The logarithm of the logarithm of the exponential attenuation factor in the equation was found as a linear function of time. By using the found linear relationship, a new mathematical model was presented to describe the shock-wave overpressure evolution. Comparisons of the fitted overpressures by the presented model with the recorded ones in experiments reveal that the new mathematical model is precise, universal and applicable.
- mechanics of explosion /
- exponential attenuation factor /
- overpressure test /
- Friedlander formula /
- air explosion /
- overpressure