Load Calculation of Hydrodynamic Journal Bearing

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I have the pressure field generated in circumferencial and axial direction. But can't crack the double integration part. Can anybody help me with a code for that? It would be big help.
  2 个评论
Dyuman Joshi
Dyuman Joshi 2023-12-30
Is theta_prime related to theta? If yes, then how?
Are p and R constants?
Adwait Mahajan
Adwait Mahajan 2023-12-30
编辑:Adwait Mahajan 2023-12-30
R is a constant. p is a function of theta_prime and z.
theta_prime = theta - alpha
where, alpha is the attitude angle of the bearing.

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采纳的回答

Hassaan
Hassaan 2023-12-30
编辑:Hassaan 2023-12-30
you could use integral2 or dblquad function:
% Define the pressure function, replace this with your actual function
pressure = @(theta_prime, z) cos(theta_prime); % Example function
% Integration bounds
theta_prime_min = 0;
theta_prime_max = 2 * pi;
z_min = 0;
z_max = 1; % Replace with the actual length L of the bearing
% Radius R is a constant, replace with the actual radius of the bearing
R = 1;
% Radial load Wr calculation using double integration
Wr = integral2(@(theta_prime, z) pressure(theta_prime, z) .* R .* cos(theta_prime), ...
z_min, z_max, theta_prime_min, theta_prime_max);
% Tangential load Wt calculation using double integration
Wt = integral2(@(theta_prime, z) pressure(theta_prime, z) .* R .* sin(theta_prime), ...
z_min, z_max, theta_prime_min, theta_prime_max);
disp(Wr);
4.5699
disp(Wt);
2.2245
Replace the pressure function and the bounds with your actual function and bearing dimensions.
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  1 个评论
Adwait Mahajan
Adwait Mahajan 2023-12-30
Thanks a lot. I was trying to implement Simpson's integral rule. But this makes my work way easier.

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