ball in a cone - Lagrange mechanics

animate the motion of a mass point constrained to move on the wall of a circle cone
82.0 次下载
更新时间 2018/7/11

查看许可证

a point mass moves under the influence of gravity on the wall of a circle cone. Equations of motion for the two DOF's r and phi are obtained from the lagrangian L and solved numerically for a certain initial condition:

tspan = [0 T]; % time span for simulation
[r(t=0) r'(t=0) phi(t=0) phi'(t=0) ] initial conditions
y20 = [1.3 0 0 w ]; % w - angular frequency
f = @(l,y2) [y2(2); -g*cos(a) + y2(1)*(y2(4)^2)*((sin(a))^2)-k*(y2(2)^2+y2(4)^2)^0.5;y2(4);(-2*y2(2)*y2(4))/(y2(1))] ;

[l,y2]=ode45(f,tspan,y20); % call ode45 solver

the zip-file contains a mp4-video of the animation (created using matlabs WriteVideo() function)

引用格式

Lucas Tassilo Scharbrodt (2024). ball in a cone - Lagrange mechanics (https://www.mathworks.com/matlabcentral/fileexchange/68002-ball-in-a-cone-lagrange-mechanics), MATLAB Central File Exchange. 检索来源 .

MATLAB 版本兼容性
创建方式 R2017b
兼容任何版本
平台兼容性
Windows macOS Linux
标签 添加标签

Community Treasure Hunt

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

Start Hunting!
版本 已发布 发行说明
1.0.0.0