1) Bessel series
BESSEL级数
2) Fourier-Bessel series
Fourier-Bessel级数
1.
Study on the property of the second harmonic in the nearfield of a Bessel ultrasonic field based on the Fourier-Bessel series;
基于Fourier-Bessel级数的Bessel型超声场二次谐波近场特性研究
2.
The plate deflection, load, reactive force of soil ground, and settlement of half-space surface under the plate are all expanded to the double Fourier-Bessel series, the unknown coefficients in those series are determined by the boundary conditions of plate, governing equation of plate, and continuous condition between plate-ground.
板的挠度、荷载、地基反力及板下地基表面的沉降均被展开为二重Fourier-Bessel级数,这些级数中的待定系数由板的边界条件、板的控制方程及板-地基的相容条件加以确定,从而将饱和弹性半空间地基与弹性薄圆板的动力相互作用问题转化为数值积分和代数方程组的求解问题。
3.
Basing on Fourier-Bessel series, the dynamic interactions between moderately thick circular plates and transversely isotropic saturated poroelastic half-space are investigated.
利用Fourier-Bessel级数,对横观各向同性饱和弹性半空间地基与中厚圆板的动力相互作用问题进行了系统地分析。
3) Neumann-Bessel series
Neumann-Bessel级数
4) Conjugate Neumann-Bessel series
共轭Neumann-Bessel级数
5) Fourier-Bessel series expansion
Fourier-Bessel级数展开
6) general Fourier-Bessel double-series
广义Fourier-Bessel双重级数
补充资料:Fourier-Bessel级数
Fourier-Bessel级数
Fourier-Bessd series
F仪的曰Jk洲日级数【F仪的“一D短目跳6巴;.冲砚一B叹-ee朋p:月1 函数f(x)的级数展开式 f(x)一瘩;、小:·封O一(·)其中f(x)是在区间(0,a)上给定的函数,人是V(”>一1/2)阶B图脱召函数(B留Sel functions),x;v)是J,的正零点,按增加的顺序排列;系数c。具有下列值: 2子,、,「了。、。1, C_=--二,,尸--代-一二育,二一lr了暇r,JI义三’.一I住r. “一J二.‘X止一尹】J,“, 一,,十,、’m,6L~J如果f(x)是在区间(0,a)上给定的逐段连续函数,而积分 丁介『‘r,,dr<‘’ 0则FO讼交r一B图Sel级数在区间(0,a)的每个内点x上收敛,其和等于[f(x十)+f(x一)】/2,且在每个内点x的邻域内,f(x)具有有界变差.
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