弹性流体动力润滑的matlab代码
时间: 2024-02-12 14:38:04 浏览: 40
弹性流体动力润滑的matlab代码如下:
```
function [h] = elastic_fluid_lubrication(h0, R, U, eta, E, alpha, L)
% Parameters:
% h0: initial film thickness
% R: radius of contact area
% U: sliding speed
% eta: viscosity of fluid
% E: modulus of elasticity of solid
% alpha: half-angle of wedge
% L: length of contact area
% Constants
A = pi * R^2;
B = 3 * pi * eta * U * R;
C = 2 * E * h0^3 / (R^2 * (1 - alpha^2));
% Define function for Reynolds equation
f = @(h) B / (6 * eta) * (h.^3 / R^2 - 2 * h.^2 * h0 / R^2 + h * h0^2 / R^2) ...
- C ./ (h + h0).^2;
% Solve for h using fsolve
options = optimoptions('fsolve', 'Display', 'off');
h = fsolve(f, h0, options);
% Calculate pressure distribution
P = -C ./ (h + h0) - B / (2 * pi * R * (h + h0));
% Plot results
figure;
x = linspace(-L/2, L/2, 100);
y = sqrt(R^2 - x.^2);
plot(x, y, 'k', 'LineWidth', 2);
hold on;
plot(x, -y, 'k', 'LineWidth', 2);
plot(x, h, 'r', 'LineWidth', 2);
xlabel('x');
ylabel('h');
legend('Wedge', 'Wedge', 'Film thickness');
title(['Elastic fluid lubrication, h0 = ', num2str(h0)]);
```
该代码实现了弹性流体动力润滑的计算,并绘制了油膜厚度的图形。其中,输入参数包括油膜初始厚度 h0、接触半径 R、滑动速度 U、流体粘度 eta、固体弹性模量 E、楔形角 alpha 和接触区域长度 L。输出参数为油膜厚度 h。