Can anyone help me in calculating Kelvin Kei function.

Question

sumant 2014-5-21

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评论： Walter Roberson 2017-8-27

Hi, I am working on estimating deflection using axisymmetric bending of plate due to a point load. I came across a solution, which fits my requirement - but which involves using Kelvin Kei function. I have searched a lot, but could not find a way for matlab to handle Kelvin Kei. Can anyone help me with it? I am trying to evaluate something of the following form:

w = C*kei(r/a), where C and a are constants.

Any help/suggestion will be very much appreciated.

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Answer 1

Roger Stafford 2014-5-21

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在 MATLAB Online 中打开

See the sites:

 http://en.wikipedia.org/wiki/Kelvin_functions
 http://www.mathworks.com/help/matlab/ref/besselk.html

The Kelvin Kei function is simply the imaginary part of matlab's 'besselk' function. Note however that it requires two arguments, an order nu and a possibly complex argument z. Your example shows only one argument.

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Roger Stafford 2014-5-25

在 MATLAB Online 中打开

My apologies, Sumant! What I should have said is that the Kelvin kei function which you are presumably attempting to calculate can be evaluated in terms of the imaginary part of matlab's 'besselk' function using the equation

kei(z) = imag(besselk(0,z*(1+1i)/sqrt(2)));

The order here would be understood to be zero and the argument z is to be multiplied by the square root of the imaginary number i, which is (1+1i)/sqrt(2). In your case z would be r/a.

sumant 2014-6-6

Great!! This was exactly what I am looking for. :)

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Answer 2

Ahmed 2017-8-27

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Bessel function.png

Hi,

Can someone help me to write the MATLAB code of Bessel functions of zero (J0) and first order (J1) respectively? These Bessel functions (Jo and J1) equations are given in the attached figure.

Cheers, Nisar