贝塞尔函数

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。

In order to study the propagation of partially coherent modified Bessel-Gaussian beams passing through a paraxial ABCD optical system with hard-edge aperture,the approximate analytical propagation equation was derived with the hard-edged aperture function expanded into a finite sum of complex Gaussian functions.

为了对部分相干修正贝塞尔－高斯光束通过有硬边光阑近轴4BCD光学系统的传输进行研究，采用将硬边光阑窗口函数展开为有限个复高斯函数之和的方法，得到了近似的解析传输公式。

The longitudinal component of electromagnetic wave propagating in fiber can be expressed by Based function or the modified Bessel function of second kind. Based on this principle, we put forward a simple method for generating a Bessel beam with glass capillary and focusing lens.

对光纤中传播的电磁场分析发现，其纵向分量可以用贝塞耳函数及第二类变态贝塞耳函数来描述，据此，提出一种利用玻璃毛细管和聚焦透镜实现贝塞尔光束的简易方法。

Prior to the 32-bit versions of Windows, you'd have to create your own Bezier splines using the Polyline function.

在 32 位版本的 Windows 之前，你将不得不用 Polyline 函数创建你自己的贝塞尔曲线。

Prior to the 32-bit versions of Windows, youd have to create your own Bezier splines using the Polyline function.

在 32 位版本的 Windows 之前，你将不得不用 Polyline 函数创建你自己的贝塞尔曲线。

The squares of Bessel functions are plotted about O on the equator and on the first , second, third an fifth layer lines for half of the nucleotide mass at 20 A. diameter and remainder distributed along a radius, the mass at a given radius being proportional to the radius.

的平方贝塞尔函数绘制关于澳赤道和第一，第二，第三行的第五层的一半，在20个核苷酸大众答：直径和其余分布在半径，大众在某一半径正在比例到半径。

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％。