3rps并联机构工作空间matlab代码
时间: 2023-10-11 18:13:27 浏览: 544
以下是一个基于MATLAB的3RPS并联机构工作空间计算代码示例:
```matlab
% 3RPS并联机构工作空间计算
% 机构参数
l1 = 1; l2 = 1; l3 = 1;
% 步长
step = 0.1;
% 定义工作空间范围
x_min = -2; x_max = 2;
y_min = -2; y_max = 2;
z_min = -2; z_max = 2;
% 初始化点云数据
pc = pointCloud(zeros(1,3));
% 进行循环计算
for x = x_min:step:x_max
for y = y_min:step:y_max
for z = z_min:step:z_max
% 计算末端执行器位姿
T = [cos(y)*cos(z) -cos(y)*sin(z) sin(y) x;
cos(x)*sin(z)+cos(z)*sin(x)*sin(y) cos(x)*cos(z)-sin(x)*sin(y)*sin(z) -cos(y)*sin(x) y;
sin(x)*sin(z)-cos(x)*cos(z)*sin(y) cos(z)*sin(x)+cos(x)*sin(y)*sin(z) cos(x)*cos(y) z;
0 0 0 1];
% 逆运动学解析求解
theta1 = atan2(T(2,4)-l3*T(1,3),T(1,4)+l3*T(2,3));
theta3 = acos((T(1,4)*cos(theta1)+T(2,4)*sin(theta1)-l1)^2+(T(3,4)-l2)^2-l3^2)/(2*l1*l3);
theta2 = atan2(T(3,4)-l2,-(T(1,4)*cos(theta1)+T(2,4)*sin(theta1)-l1)/l3);
% 机构正解求解
p = [l1*cos(theta1)+l3*cos(theta1+theta3);
l1*sin(theta1)+l3*sin(theta1+theta3);
l2-l3*sin(theta2)];
% 将计算得到的点添加到点云数据中
pc = pcmerge(pc,pointCloud(p'));
end
end
end
% 可视化工作空间点云数据
figure; pcshow(pc); xlabel('X'); ylabel('Y'); zlabel('Z');
```
注意:此代码仅提供参考,具体的工作空间计算需要根据实际机构参数进行调整。
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