matlab模拟弹簧摆运动过程,生成动画。要求适用于2022b版本
时间: 2024-02-20 15:01:52 浏览: 62
弹簧振动MATLAB仿真
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好的,以下是一个简单的MATLAB代码示例,可以用于模拟弹簧摆运动过程并生成动画。此代码适用于MATLAB R2022b版本。
```
function spring_pendulum
% Create the GUI
fig = uifigure('Name', 'Spring Pendulum Simulation', 'Position', [100 100 800 600]);
ax = uiaxes(fig, 'Position', [50 100 600 400]);
uicontrol(fig, 'Style', 'text', 'Position', [670 380 100 25], 'String', 'Spring Constant');
uicontrol(fig, 'Style', 'text', 'Position', [670 340 100 25], 'String', 'Mass');
uicontrol(fig, 'Style', 'text', 'Position', [670 300 100 25], 'String', 'Gravity');
uicontrol(fig, 'Style', 'text', 'Position', [670 260 100 25], 'String', 'Initial Angle');
uicontrol(fig, 'Style', 'text', 'Position', [670 220 100 25], 'String', 'Show Trajectory');
k_slider = uislider(fig, 'Position', [750 380 150 20], 'Limits', [0.1 10], 'Value', 1);
m_slider = uislider(fig, 'Position', [750 340 150 20], 'Limits', [0.1 10], 'Value', 1);
g_slider = uislider(fig, 'Position', [750 300 150 20], 'Limits', [0.1 10], 'Value', 1);
theta_slider = uislider(fig, 'Position', [750 260 150 20], 'Limits', [-pi pi], 'Value', pi/4);
trajectory_checkbox = uicheckbox(fig, 'Position', [750 220 100 25], 'Text', '', 'Value', true);
start_button = uibutton(fig, 'Position', [670 160 100 25], 'Text', 'Start', 'ButtonPushedFcn', @(btn,event) startSimulation());
stop_button = uibutton(fig, 'Position', [800 160 100 25], 'Text', 'Stop', 'ButtonPushedFcn', @(btn,event) stopSimulation());
reset_button = uibutton(fig, 'Position', [930 160 100 25], 'Text', 'Reset', 'ButtonPushedFcn', @(btn,event) resetSimulation());
% Initialize the simulation
k = k_slider.Value;
m = m_slider.Value;
g = g_slider.Value;
theta0 = theta_slider.Value;
omega0 = 0;
tspan = [0 20];
y0 = [theta0; omega0];
[t, y] = ode45(@(t,y) pendulumODE(t, y, k, m, g), tspan, y0);
x = sin(y(:,1));
y = -cos(y(:,1));
% Plot the initial state of the system
line(ax, [0 x(1)], [0 y(1)], 'LineWidth', 2, 'Color', 'k');
if trajectory_checkbox.Value
line(ax, x, y, 'LineWidth', 1, 'Color', 'r');
end
% Define the simulation functions
function startSimulation
% Start the simulation
while true
k = k_slider.Value;
m = m_slider.Value;
g = g_slider.Value;
theta0 = theta_slider.Value;
omega0 = 0;
tspan = [0 20];
y0 = [theta0; omega0];
[t, y] = ode45(@(t,y) pendulumODE(t, y, k, m, g), tspan, y0);
x = sin(y(:,1));
y = -cos(y(:,1));
% Update the plot
for i = 1:length(t)
line(ax, [0 x(i)], [0 y(i)], 'LineWidth', 2, 'Color', 'k');
if trajectory_checkbox.Value
line(ax, x(1:i), y(1:i), 'LineWidth', 1, 'Color', 'r');
end
drawnow;
end
end
end
function stopSimulation
% Stop the simulation
return;
end
function resetSimulation
% Reset the simulation
cla(ax);
k = k_slider.Value;
m = m_slider.Value;
g = g_slider.Value;
theta0 = theta_slider.Value;
omega0 = 0;
tspan = [0 20];
y0 = [theta0; omega0];
[t, y] = ode45(@(t,y) pendulumODE(t, y, k, m, g), tspan, y0);
x = sin(y(:,1));
y = -cos(y(:,1));
line(ax, [0 x(1)], [0 y(1)], 'LineWidth', 2, 'Color', 'k');
if trajectory_checkbox.Value
line(ax, x, y, 'LineWidth', 1, 'Color', 'r');
end
end
function ydot = pendulumODE(t, y, k, m, g)
% Define the differential equation for the pendulum
theta = y(1);
omega = y(2);
thetadot = omega;
omegadot = -(k/m)*theta - (g/9.8)*sin(theta);
ydot = [thetadot; omegadot];
end
end
```
这个代码实现了一个简单的弹簧摆模拟器,用户可以通过GUI界面调整弹簧的劲度系数、摆球的质量、重力加速度和初始角度等参数。代码使用了MATLAB的ODE45函数求解微分方程,然后使用MATLAB的绘图功能生成动画。用户可以选择是否显示运动轨迹。
希望这个示例可以帮助您!
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