Buoy move with ocean wave

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Omer Mert 2023년 12월 12일

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https://kr.mathworks.com/matlabcentral/answers/2059434-buoy-move-with-ocean-wave

댓글: Adam Danz 2023년 12월 12일

Hello guys,

I am here to ask a simulation question. I am trying to model how to buoy makes up and down according to ocean waves. The problem is I couldn't add the sine wave in the figure. Here is the code what i wrote;

clear all;clc
radiusofcrank = 1;
angular_velocity = 60; % angular velocity in radians per second
for t = linspace(0, 1, 1000)
    
    x_crank = radiusofcrank * cos(angular_velocity * t); %motion of the crank radius
    y_crank = radiusofcrank * sin(angular_velocity * t);
    x_buoy = 0; %x axis of buoy
    y_buoy = y_crank - 5; % makes buoy moves up and down
    plot(x_crank, y_crank); %crank 
    hold on;
    plot([0, x_crank], [0, y_crank], 'black'); %crank radius
    plot(x_buoy, y_buoy, 'o', 'MarkerSize', 50, 'MarkerFaceColor', 'b'); %buoy
    plot([x_crank, x_buoy], [y_crank, y_buoy], '-', 'Color', 'b'); % Connecting rod
    theta = linspace(0, 2*pi, 100); %plots circle (2pi = 360 degree)
    circle_x = radiusofcrank * cos(theta);
    circle_y = radiusofcrank * sin(theta);
    plot(circle_x, circle_y);
    hold off;
    title('Buoy Motion');
    xlabel('X-coordinate');
    ylabel('Y-coordinate');
    axis equal;
    grid on;
    pause(0.01);
end
% Sine Wave
t = 0.1:100;
Wave_amplitude_sine = 3;     % Amplitude of the sine wave
wave_frequency = 0.01;       % Frequency of the sine wave (in Hz)
% Create the figure and plot initial sine wave
h =  plot(t,sin(2 * pi * wave_frequency * t));
title('Ocean Wave');
xlabel('Time (s)');
ylabel('Amplitude');
grid on;
for time = 0:1:1000
    phase = 2 * pi * wave_frequency * time;  % Update the phase based on time and speed
    set(h, 'YData', sin(2 * pi * wave_frequency * t + phase));
    pause(0.028);
end

I need your help. Thank you!

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Omer Mert 2023년 12월 12일

편집: Voss 2023년 12월 12일

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Here is the code I wrote. I hope it will be useful for everyone;

clear all;
clc;
radiusofcrank = 1;
angular_velocity = 60; % angular velocity in radians per second
figure;
% Sine Wave parameters
wave_amplitude_sine = 1;     % Amplitude of the sine wave
wave_frequency = 0.1;       % Frequency of the sine wave (in Hz)
h_sine = plot(0, -5, 'b-', 'LineWidth', 2); % Initialize with a single point
title('Buoy Motion with respect to Sine wave');
xlabel('X-coordinate');
ylabel('Y-coordinate');
grid on;
hold on;
h_crank = plot(0, 0, 'ro-', 'MarkerSize', 10, 'LineWidth', 2);
h_buoy = plot(0, 0, 'go', 'MarkerSize', 20, 'MarkerFaceColor', 'g');
h_rod = plot([0, 0], [0, 0]);
h_radius = plot([0, 0], [0, 0]);
h_circle = plot(0, 0, 'black', 'LineWidth', 2);
% Set the x-axis limits
xlim([-2, 2]);
% Set the y-axis limits
ylim([-6, 2]);
% Initialize circle coordinates outside the loop
circle_x_fixed = radiusofcrank * cos(linspace(0, 2*pi, 100));
circle_y_fixed = radiusofcrank * sin(linspace(0, 2*pi, 100));
% Update circle outside the loop
set(h_circle, 'XData', circle_x_fixed, 'YData', circle_y_fixed);
for t = linspace(0, 1, 1000)  
    t_s = 0:1:100;
    % Update the phase of the sine wave based on time
    phase = 2 * pi * wave_frequency * t;
    % Calculate x-coordinates of the sine wave based on time (horizontal motion)
    x_sine = t_s - 100 * t;
    % Update the sine wave plot
    set(h_sine, 'XData', x_sine, 'YData', wave_amplitude_sine * sin(2 * pi * wave_frequency * t_s + phase) - 5);
    % Crank motion
    x_crank = radiusofcrank * cos(angular_velocity * t);
    y_crank = radiusofcrank * sin(angular_velocity * t);
    % Buoy motion
    x_buoy = 0; 
    y_buoy = y_crank - 5;
    % Update plot objects
    set(h_crank, 'XData', x_crank, 'YData', y_crank);
    set(h_buoy, 'XData', x_buoy, 'YData', y_buoy);
    set(h_rod, 'XData', [x_crank, x_buoy], 'YData', [y_crank, y_buoy]);
    set(h_radius, 'XData', [0, x_crank], 'YData', [0, y_crank]);
    % Set the y-axis limits
    ylim([-6, 2]);
    
    pause(0.01);
end
hold off;