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190、excel函数之工程函数一--贝塞尔函数

  • 2026-07-29 07:25:26
190、excel函数之工程函数一--贝塞尔函数
     工程函数是专门为工程设计人员准备的用于专业领域分析计算的函数。
     贝塞尔函数是数学上的一类特殊函数的总称。是下列常微分方程的标准解函数有y（x）。
      贝塞尔函数的具体形式随上述方程中任意实数α的变化而变化（α被称为对应贝塞尔函数的阶数）。实际应用中最常见的情形为α是整数n,对应解称为n阶贝塞尔函数。
      贝塞尔函数在波动问题及各种涉及有势场的问题中占有非常重要的地位，最典型的有：在圆柱形波导中的电磁波传播问题、圆柱体中热传导问题及圆形薄膜的震动模态分析问题等。
      excel中提供了4个贝塞尔函数。
第一个---J函数：

BESSELJ(x,n)=

比如=BESSELJ(1.35,3)  返回0.045678622524504
第二个---诺依曼函数：
BESSELY(X, N)=
第三个---汉克尔函数：
BESSELK(X, N)=
第四个---虚宗量函数：
BESSELI(X, N)=
贝塞尔函数参数的含义：
X 必需。 用来计算函数的值
N 必需。 贝赛耳函数的阶数。 如果 n 不是整数，将被截尾取整。

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  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001098s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000367s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000246s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000573s ]
  6. SELECT * FROM `set` [ RunTime:0.000196s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000572s ]
  8. SELECT * FROM `article` WHERE `id` = 544342 LIMIT 1 [ RunTime:0.001034s ]
  9. UPDATE `article` SET `lasttime` = 1785351322 WHERE `id` = 544342 [ RunTime:0.005642s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000265s ]
  11. SELECT * FROM `article` WHERE `id` < 544342 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000466s ]
  12. SELECT * FROM `article` WHERE `id` > 544342 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000402s ]
  13. SELECT * FROM `article` WHERE `id` < 544342 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000796s ]
  14. SELECT * FROM `article` WHERE `id` < 544342 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000695s ]
  15. SELECT * FROM `article` WHERE `id` < 544342 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000964s ]
0.082265s