查询词典 bessel function

With the use of ap- proximate zero order Bessel's function,we developed a fast approximate method to speed up the decomposition of plane wave,with its error analysed.

通常人们把水平叠加结果看成平面波，这对于通常所用的旅行时信息是正确的，而对于与振幅密切相关的波阻抗反演就不能满足要求了。

The phase of the first kind zero-order Bessel function has binary values,zero and π,thus,the distribution of amplitude of vibration can be measured through the phase of reconstructed wave.

第一类零阶贝塞尔函数相位只有0和π两个取值，所以利用再现光场的相位可以确定振幅分布。

The biggest merit in this paper is its enormous programs. These programs are worked out for the calculation of anisoteopic propagation constant, imaginaries Bessel function etcl.

另外，本文在前人工作的基础上，对实际跨孔雷达偶极天线的特性进行了深入研究，得到了许多有价值的数据和图件。

Applying the theory of Bessel function, the exact transfer matrix formulae of the asymmetric free vibration of the circular and annular plate elements with uniform thickness can be obtained.

应用贝塞尔函数理论，求得等厚度圆板和环板单元非对称自由振动传递矩阵的正确公式。

On the base of Lord Kelvin point-source solution, the integral of Bessel function, Poisson superimpose formula and boundary element method, we resolve it and obtain the boundary element basic solution.

受求解方法局限性的限制，目前经典渗流力学理论还无法精确求解复杂外边界油藏中生产井层部分射孔问题。

The paper simply introduced the basic principle of surface nuclear magnetic resonance and computed the numerical integral of nuclear magnetic resonance kernel function which contained double Bessel functions using the method of Gauss quadrature and continued fraction expansion, and then discussed influence of conductivity to nuclear magnetic resonance′s signal.

简要介绍了地面核磁共振找水的正演理论方法，采用高斯求积并结合连分式展开的方法对核磁共振核函数中包含双重贝塞尔函数的积分核进行了数值积分，进而计算出精度较高的核函数值，在此基础之上，讨论了导电性对地面核磁共振信号的影响。

Using the continued fraction method other than the traditional recurrence methods to generate the Bessel function, we built an accurate code for calculating the Mie scattering.

2利用Mie散射模式计算气溶胶散射相函数的展开式系数，直接提供逐次散射计算中所需要的立体角积分网格上的相函数，避免为获得相函数而进行内插。

According to Bessel function and Fourier series theory, generation, magnitude and distribution of voltage harmonic generated by single-phase two-level SPWM inverter and three-phase SPWM inverter are analyzed and calculated particularity and concretely in allusion to inverter-motor system.

然后针对逆变器-电动机系统，利用贝塞尔函数和傅里叶级数理论，分别对单相二阶SPWM逆变器和三相SPWM逆变器的输出电压谐波的产生、大小和分布进行了细致而具体的分析和计算。

Firstly, the equation for stress intensity factors under static uniform pressure is used as the reference case, and then the weight function for a thick-walled cylinder containing a radial edge crack can be worked out. Secondly, the dynamic stresses in uncracked thick-walled cylinders are solved under internal impulsive pressure by using mode shape function method. The solution consists of a quasi-static solution satisfying inhomogeneous boundary conditions and a dynamic solution satisfying homogeneous boundary conditions, and the history and distribution of dynamic stresses in thick-walled cylinders are derived in terms of Fourier–Bessel series. Finally, the dynamic stress intensity factor equations for thick-walled cylinder containing a radial edge crack subjected to internal impulsive pressure are given by dynamic weight function method.

首先采用静态内压下的应力强度因子作为参考解，得到了带径向边裂纹厚壁圆筒的权函数；然后用振型函数方法推导无裂纹厚壁圆筒在冲击内压下的动应力响应，分析中将相应的弹性动力学方程解分为满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加，利用傅立叶-贝塞尔级数展开，推导出了厚壁圆筒内动应力的响应历程和分布规律；最后由动应力权函数方法导出带径向边裂纹厚壁筒在冲击内压下的动态应力强度因子计算公式。

The functional relationship between displacement and sound pressure was deduced by using variational principle and Bessel function. Then the analytic solution of the eardrum displacement was obtained, and moreover the ear ossicle displacement was obtained.

由变分原理及贝赛尔函数推导出人工鼓膜位移与声压的关系，得到鼓膜位移的解析解，并由此得到听骨位移。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。