将高阶累积量谱应用于多点随机振动控制环境试验中,生成时域随机驱动信号。通过建立三阶累积量谱(双谱)与自谱间的幅频与相位转换关系,经时域随机驱动信号验证性生成实验,揭示这层关系的存在。其次在多输入多输出线性系统理论假设前提下...将高阶累积量谱应用于多点随机振动控制环境试验中,生成时域随机驱动信号。通过建立三阶累积量谱(双谱)与自谱间的幅频与相位转换关系,经时域随机驱动信号验证性生成实验,揭示这层关系的存在。其次在多输入多输出线性系统理论假设前提下,根据系统驱动、系统频响、系统响应间线性映射关系,通过双谱与自谱间的幅频与相位转换,经IFFT(iverse fast Fourier transform)变换生成满足试验控制要求的时域随机驱动信号。最后以一悬臂梁为试件,对其进行双输入、双输出随机振动控制环境模拟试验。试验结果表明:将双谱应用于多点随机振动控制试验中生成时域随机驱动信号的方法是可行有效的,同时也验证了双谱能抑制高斯白噪声的特性,这一点可通过所生成驱动信号的概率密度分布特征曲线(部分满足均匀分布)进行体现。展开更多
Blast vibration analysis is one of the important foundations for studying the control technology of blast vibration damage. According to blast vibration live data that have been collected and the characteristics of sh...Blast vibration analysis is one of the important foundations for studying the control technology of blast vibration damage. According to blast vibration live data that have been collected and the characteristics of short-time non-stationary random signals, the wavelet packet energy spectrum analysis for blast vibration signal has made by wavelet packet analysis technology and the signals were measured under different explosion parameters （the maximal section dose, the distance of blast source to measuring point and the section number of millisecond detonator）. The results show that more than 95% frequency band energy of the signals sl-s8 concentrates at 0-200 Hz and the main vibration frequency bands of the signals sl-s8 are 70.313-125, 46.875-93.75, 15.625-93.75, 0-62.5, 42.969-125, 15.625-82.031, 7.813-62.5 and 0-62.5 Hz. Energy distributions for different frequency bands of blast vibration signal are obtained and the characteristics of energy distributions for blast vibration signal measured under different explosion parameters are analyzed. From blast vibration signal energy, the decreasing law of blast seismic waves measured under different explosion parameters was studied and the wavelet packet analysis is an effective means for studying seismic effect induced by blast.展开更多
A rectangular thin plate vibration model subjected to inplane stochastic excitation is simplified to a quasinonintegrable Hamiltonian system with two degrees of freedom. Subsequently a one-dimensional Ito stochastic d...A rectangular thin plate vibration model subjected to inplane stochastic excitation is simplified to a quasinonintegrable Hamiltonian system with two degrees of freedom. Subsequently a one-dimensional Ito stochastic differential equation for the system is obtained by applying the stochastic averaging method for quasi-nonintegrable Hamiltonian systems. The conditional reliability function and conditional probability density are both gained by solving the backward Kolmogorov equation numerically. Finally, a stochastic optimal control model is proposed and solved. The numerical results show the effectiveness of this method.展开更多
文摘将高阶累积量谱应用于多点随机振动控制环境试验中,生成时域随机驱动信号。通过建立三阶累积量谱(双谱)与自谱间的幅频与相位转换关系,经时域随机驱动信号验证性生成实验,揭示这层关系的存在。其次在多输入多输出线性系统理论假设前提下,根据系统驱动、系统频响、系统响应间线性映射关系,通过双谱与自谱间的幅频与相位转换,经IFFT(iverse fast Fourier transform)变换生成满足试验控制要求的时域随机驱动信号。最后以一悬臂梁为试件,对其进行双输入、双输出随机振动控制环境模拟试验。试验结果表明:将双谱应用于多点随机振动控制试验中生成时域随机驱动信号的方法是可行有效的,同时也验证了双谱能抑制高斯白噪声的特性,这一点可通过所生成驱动信号的概率密度分布特征曲线(部分满足均匀分布)进行体现。
基金Foundation item: Project(51064009) supported by the National Natural Science Foundation of ChinaProject(201104356) supported by the China Postdoctoral Science FoundationProject(20114BAB206030) supported by the Natural Science Foundation of Jiangxi Province,China
文摘Blast vibration analysis is one of the important foundations for studying the control technology of blast vibration damage. According to blast vibration live data that have been collected and the characteristics of short-time non-stationary random signals, the wavelet packet energy spectrum analysis for blast vibration signal has made by wavelet packet analysis technology and the signals were measured under different explosion parameters （the maximal section dose, the distance of blast source to measuring point and the section number of millisecond detonator）. The results show that more than 95% frequency band energy of the signals sl-s8 concentrates at 0-200 Hz and the main vibration frequency bands of the signals sl-s8 are 70.313-125, 46.875-93.75, 15.625-93.75, 0-62.5, 42.969-125, 15.625-82.031, 7.813-62.5 and 0-62.5 Hz. Energy distributions for different frequency bands of blast vibration signal are obtained and the characteristics of energy distributions for blast vibration signal measured under different explosion parameters are analyzed. From blast vibration signal energy, the decreasing law of blast seismic waves measured under different explosion parameters was studied and the wavelet packet analysis is an effective means for studying seismic effect induced by blast.
基金Supported by National Natural Science Foundation of China (No.10732020)
文摘A rectangular thin plate vibration model subjected to inplane stochastic excitation is simplified to a quasinonintegrable Hamiltonian system with two degrees of freedom. Subsequently a one-dimensional Ito stochastic differential equation for the system is obtained by applying the stochastic averaging method for quasi-nonintegrable Hamiltonian systems. The conditional reliability function and conditional probability density are both gained by solving the backward Kolmogorov equation numerically. Finally, a stochastic optimal control model is proposed and solved. The numerical results show the effectiveness of this method.
