For the multi-frequency acoustic analysis, a series expansion method has been introduced to reduce the computation time of the frequency-independent parts, but the Runge phenomenon will arise when this method is emplo...For the multi-frequency acoustic analysis, a series expansion method has been introduced to reduce the computation time of the frequency-independent parts, but the Runge phenomenon will arise when this method is employed in high frequency band. Therefore, this method is improved by analyzing the application condition and proposing the selection principle of the series truncation number. The argument interval can be adjusted with the wavenumber factor. Therefore, the problem of unstable numeration and poor precision can be solved, and the application scope of this method is expanded. The numerical example of acoustic radiation shows that the improved method is correct for acoustic analysis in wider frequency band with less series truncation number and computation amount.展开更多
基于改进傅里叶级数方法(Improved Fourier Series Method,IFSM)对任意边界条件下环扇形板的面内自由振动特性进行计算分析,任意边界条件可采用沿各边界均匀分布的法向和切向线性弹簧来模拟。环扇形板的径向和切向位移函数被不变地表示...基于改进傅里叶级数方法(Improved Fourier Series Method,IFSM)对任意边界条件下环扇形板的面内自由振动特性进行计算分析,任意边界条件可采用沿各边界均匀分布的法向和切向线性弹簧来模拟。环扇形板的径向和切向位移函数被不变地表示为改进傅里叶级数形式,并通过引入正弦函数项来克服弹性边界的不连续或跳跃现象。将位移函数的傅里叶展开系数看作广义坐标,并采用瑞利-里兹方法对其进行求解,得到一个关于未知傅里叶系数的标准特征值问题。通过求解标准特征值问题而简单地求解环扇形板面内振动的固有频率及其振型。通过不同边界条件下环扇形板模型结果与文献解及有限元法结果相对比来验证了本文方法的正确性及可靠性。展开更多
利用历史数据,对光纤陀螺随机漂移进行准确建模,对提高光纤捷联惯导系统的精度具有十分重要的意义。文中详细介绍了人工鱼群算法(Artificial Fish Swarm Algorithm,AFSA)和改进人工鱼群算法(Improved Artificial Fish Swarm Algorithm,I...利用历史数据,对光纤陀螺随机漂移进行准确建模,对提高光纤捷联惯导系统的精度具有十分重要的意义。文中详细介绍了人工鱼群算法(Artificial Fish Swarm Algorithm,AFSA)和改进人工鱼群算法(Improved Artificial Fish Swarm Algorithm,IAFSA),给出了AFSA对随机信号建模的详细步骤和方法,分别应用传统的时间序列分析方法、人工鱼群算法、改进人工鱼群算法对光纤陀螺的随机漂移进行了建模。建模结果表明,AFSA对光纤陀螺随机漂移建模准确,比传统时间序列分析建模精度提高1.5%,IAFSA建模精度比AFSA建模精度更高,其收敛速度也更快。无论是从建模复杂度上,还是在建模精度上,AFSA和IAFSA均优于传统的时间序列分析方法,IAFSA是一种收敛速度更快、建模精度更高的光纤陀螺随机信号建模方法。展开更多
基金supported by the National Natural Science Foundation of China(51379083,51479079,51579109)the Specialized Research Fund for the Doctoral Program of Higher Education of China(20120142110051)
文摘For the multi-frequency acoustic analysis, a series expansion method has been introduced to reduce the computation time of the frequency-independent parts, but the Runge phenomenon will arise when this method is employed in high frequency band. Therefore, this method is improved by analyzing the application condition and proposing the selection principle of the series truncation number. The argument interval can be adjusted with the wavenumber factor. Therefore, the problem of unstable numeration and poor precision can be solved, and the application scope of this method is expanded. The numerical example of acoustic radiation shows that the improved method is correct for acoustic analysis in wider frequency band with less series truncation number and computation amount.
文摘基于改进傅里叶级数方法(Improved Fourier Series Method,IFSM)对任意边界条件下环扇形板的面内自由振动特性进行计算分析,任意边界条件可采用沿各边界均匀分布的法向和切向线性弹簧来模拟。环扇形板的径向和切向位移函数被不变地表示为改进傅里叶级数形式,并通过引入正弦函数项来克服弹性边界的不连续或跳跃现象。将位移函数的傅里叶展开系数看作广义坐标,并采用瑞利-里兹方法对其进行求解,得到一个关于未知傅里叶系数的标准特征值问题。通过求解标准特征值问题而简单地求解环扇形板面内振动的固有频率及其振型。通过不同边界条件下环扇形板模型结果与文献解及有限元法结果相对比来验证了本文方法的正确性及可靠性。
文摘利用历史数据,对光纤陀螺随机漂移进行准确建模,对提高光纤捷联惯导系统的精度具有十分重要的意义。文中详细介绍了人工鱼群算法(Artificial Fish Swarm Algorithm,AFSA)和改进人工鱼群算法(Improved Artificial Fish Swarm Algorithm,IAFSA),给出了AFSA对随机信号建模的详细步骤和方法,分别应用传统的时间序列分析方法、人工鱼群算法、改进人工鱼群算法对光纤陀螺的随机漂移进行了建模。建模结果表明,AFSA对光纤陀螺随机漂移建模准确,比传统时间序列分析建模精度提高1.5%,IAFSA建模精度比AFSA建模精度更高,其收敛速度也更快。无论是从建模复杂度上,还是在建模精度上,AFSA和IAFSA均优于传统的时间序列分析方法,IAFSA是一种收敛速度更快、建模精度更高的光纤陀螺随机信号建模方法。
