Rotating Frame in MATLAB

6 次查看（过去 30 天）
Meena Farag
Meena Farag 2016-4-10
编辑： Meena Farag 2016-4-10
I am trying to simulate the rotating frame using ode45. I am trying to solve the equation
(Inertial frame) d^2R/dt^2 = (rot frame) d^2R/dt^2 + 2WxdR/dt + Wx(WxR)
Where R = [x y z] W = 1 (angular velocity) initial conditions x = 1, y = 0, z = 0 (position)
using ode45 the simulation spirals outward without bound, when it should just simulate a circle (the rotating frame). I guess I need a boundary condition? Here is my function and script
function xdot = Xdot(t, R)
global om
xdot = zeros(6,1);
xdot(1:3,1) = R(4:6,1); %vel
xdot(4:6,1) = -2*cross(om,R(4:6,1))-cross(om,cross(om,R(1:3,1)));
running the script
rpos = [1 0 0]; % position
om = [0, 0, 1]; %(rad/s) angular velocity
rvel = cross(om,rpos);
%numerical integration
[tout,yout] = ode45('Xdot',[0 20],[rpos rvel]);
plot(yout(:,1),yout(:,2), '.')
Please help, I know this is a simple problem.. I'm not sure why I'm having trouble with it.

请先登录，再回答此问题。

回答（0 个）

类别

在 Help Center 和 File Exchange 中查找有关 Numerical Integration and Differential Equations 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by