研制了模拟声源的小尺度爆破模型。具体过程为:利用10 g 2号岩石乳化炸药开展现场爆炸试验,获得爆炸噪声的声压及快速傅里叶变换谱线(FFT);将导爆管、鞭炮、发令枪3种模拟声源激发噪声的声压及FFT比对,进行起爆工况贴合度分析,提出导爆...研制了模拟声源的小尺度爆破模型。具体过程为:利用10 g 2号岩石乳化炸药开展现场爆炸试验,获得爆炸噪声的声压及快速傅里叶变换谱线(FFT);将导爆管、鞭炮、发令枪3种模拟声源激发噪声的声压及FFT比对,进行起爆工况贴合度分析,提出导爆管作为实验用模拟声源;开展高帧数高速摄像实验,获得导爆管爆速与爆轰波移动距离关系,拟合回归分析,确定导爆管作为模拟声源的标准长度为36.29~100 cm。应用几何和材料相似原理,设计基于模拟声源的小尺度爆破模型。应用效果表明,模拟声源的小尺度爆破模型可操作性强,实验数据良好,安全性高。展开更多
It is generally known that the solutions of deterministic and stochastic differential equations （SDEs） usually grow linearly at such a rate that they may become unbounded after a small lapse of time and may eventual...It is generally known that the solutions of deterministic and stochastic differential equations （SDEs） usually grow linearly at such a rate that they may become unbounded after a small lapse of time and may eventually blow up or explode in finite time. If the drift and diffusion functions are globally Lipschitz, linear growth may still be experienced, as well as a possible blow-up of solutions in finite time. In this paper, a nonlinear scalar delay differential equation with a constant time lag is perturbed by a multiplicative Ito-type time - space white noise to form a stochastic Fokker-Planck delay differential equation. It is established that no explosion is possible in the presence of any intrinsically slow time - space white noise of Ito - type as manifested in the resulting stochastic Fokker- Planck delay differential equation. Time - space white noise has a role to play since the solution of the classical nonlinear equation without it still exhibits explosion.展开更多
文摘研制了模拟声源的小尺度爆破模型。具体过程为:利用10 g 2号岩石乳化炸药开展现场爆炸试验,获得爆炸噪声的声压及快速傅里叶变换谱线(FFT);将导爆管、鞭炮、发令枪3种模拟声源激发噪声的声压及FFT比对,进行起爆工况贴合度分析,提出导爆管作为实验用模拟声源;开展高帧数高速摄像实验,获得导爆管爆速与爆轰波移动距离关系,拟合回归分析,确定导爆管作为模拟声源的标准长度为36.29~100 cm。应用几何和材料相似原理,设计基于模拟声源的小尺度爆破模型。应用效果表明,模拟声源的小尺度爆破模型可操作性强,实验数据良好,安全性高。
文摘It is generally known that the solutions of deterministic and stochastic differential equations （SDEs） usually grow linearly at such a rate that they may become unbounded after a small lapse of time and may eventually blow up or explode in finite time. If the drift and diffusion functions are globally Lipschitz, linear growth may still be experienced, as well as a possible blow-up of solutions in finite time. In this paper, a nonlinear scalar delay differential equation with a constant time lag is perturbed by a multiplicative Ito-type time - space white noise to form a stochastic Fokker-Planck delay differential equation. It is established that no explosion is possible in the presence of any intrinsically slow time - space white noise of Ito - type as manifested in the resulting stochastic Fokker- Planck delay differential equation. Time - space white noise has a role to play since the solution of the classical nonlinear equation without it still exhibits explosion.
