matlab运动轨迹
时间: 2023-08-21 22:06:58 浏览: 206
根据引用\[1\]和引用\[2\],可以使用MATLAB来绘制质点的运动轨迹。首先,定义质点的运动轨迹方程,例如使用正弦函数来表示。然后,根据给定的步长和定义域,计算出函数的值域和一阶导数。接下来,根据一阶导数的值计算出质点在每个点的横纵坐标。最后,使用循环来绘制质点的运动轨迹和相应的圆。具体的MATLAB代码如下:
```matlab
clear
r = 0.5; % 半径
theta = 0:0.01:2*pi; % 弧度
h = 0.05; % 步长
x = 0:h:4*pi; % 函数定义域
f = sin(0.05*x.*x-1); % 函数值域
k = diff(f)/h; % 一阶差分求近似一阶导数
x = x(1:end-1); % 更新定义域
f = f(1:end-1); % 更新值域
px = x - k*r./sqrt(k.*k+1); % 计算p点横坐标
py = f + r./sqrt(k.*k+1); % 计算p点纵坐标
for i = 1:length(px)
plot(x, f); % 画曲线
hold on
axis(\[-1.5 14 -2 4\]) % 设置坐标轴可视区间
daspect(\[1 1 1\]) % 固定x,y轴
% 画圆
a = r*sin(theta) + px(i);
b = r*cos(theta) + py(i);
plot(a, b);
hold off
m(:,i) = getframe; % 得到当前帧
end
```
这段代码将绘制出质点在给定函数下的运动轨迹,并以动画的形式展示。
#### 引用[.reference_title]
- *1* [Matlab模拟质点极坐标系中运动规律(螺旋运动)](https://blog.csdn.net/qq_59747472/article/details/123844721)[target="_blank" data-report-click={"spm":"1018.2226.3001.9630","extra":{"utm_source":"vip_chatgpt_common_search_pc_result","utm_medium":"distribute.pc_search_result.none-task-cask-2~all~insert_cask~default-1-null.142^v91^control,239^v3^insert_chatgpt"}} ] [.reference_item]
- *2* *3* [【Matlab】简易动画,与任意曲线相切的圆的运动轨迹](https://blog.csdn.net/qq_42276781/article/details/112800426)[target="_blank" data-report-click={"spm":"1018.2226.3001.9630","extra":{"utm_source":"vip_chatgpt_common_search_pc_result","utm_medium":"distribute.pc_search_result.none-task-cask-2~all~insert_cask~default-1-null.142^v91^control,239^v3^insert_chatgpt"}} ] [.reference_item]
[ .reference_list ]
阅读全文
相关推荐














