文件名称:ForcedPendulum

  • 所属分类:
  • matlab例程
  • 资源属性:
  • [Matlab] [源码]
  • 上传时间:
  • 2012-11-26
  • 文件大小:
  • 8kb
  • 下载次数:
  • 0次
  • 提 供 者:
  • Mike****
  • 相关连接:
  • 下载说明:
  • 别用迅雷下载,失败请重下,重下不扣分!

介绍说明--下载内容均来自于网络,请自行研究使用

This simulink model simulates the damped driven pendulum, showing it s chaotic motion.

theta = angle of pendulum

omega = (d/dt)theta = angular velocity

Gamma(t) = gcos(phi) = Force

omega_d = (d/dt) phi

Gamma(t) = (d/dt)omega + omega/Q + sin(theta)



Play with the initial conditions (omega_0, theta_0, phi_0 = omega(t=0), theta(t=0), phi(t=0)) and the system parameters (g, Q, omega_d) and the solver parameters/method.



Chaos can be seen for Q=2, omega_d=w/3.



The program outputs to Matlab time, theta(time) & omega(time).



Plot the phase space via:

plot(mod(theta+pi, 2*pi)-pi, omega, . )



Plot the Poincare sections using:

t_P = (0:2*pi/omega_d:max(time))

plot(mod(spline(time, theta+pi, t_P), 2*pi)-pi, spline(time, omega, t_P), . )



System is described in:

"Fractal basin boundaries and intermittency in the driven damped pendulum"

E. G. Gwinn and R. M. Westervelt

PRA 33(6):4143 (1986)

-This simulink model simulates the damped driven pendulum, showing it s chaotic motion.

theta = angle of pendulum

omega = (d/dt)theta = angular velocity

Gamma(t) = gcos(phi) = Force

omega_d = (d/dt) phi

Gamma(t) = (d/dt)omega+ omega/Q+ sin(theta)



Play with the initial conditions (omega_0, theta_0, phi_0 = omega(t=0), theta(t=0), phi(t=0)) and the system parameters (g, Q, omega_d) and the solver parameters/method.



Chaos can be seen for Q=2, omega_d=w/3.



The program outputs to Matlab time, theta(time) & omega(time).



Plot the phase space via:

plot(mod(theta+pi, 2*pi)-pi, omega, . )



Plot the Poincare sections using:

t_P = (0:2*pi/omega_d:max(time)) 

plot(mod(spline(time, theta+pi, t_P), 2*pi)-pi, spline(time, omega, t_P), . )



System is described in:

"Fractal basin boundaries and intermittency in the driven damped pendulum"

E. G. Gwinn and R. M. Westervelt

PRA 33(6):4143 (1986)


(系统自动生成,下载前可以参看下载内容)

下载文件列表

Forced_Pendulum.mdl

license.txt

相关说明

  • 本站资源为会员上传分享交流与学习,如有侵犯您的权益,请联系我们删除.
  • 本站是交换下载平台,提供交流渠道,下载内容来自于网络,除下载问题外,其它问题请自行百度更多...
  • 请直接用浏览器下载本站内容,不要使用迅雷之类的下载软件,用WinRAR最新版进行解压.
  • 如果您发现内容无法下载,请稍后再次尝试;或者到消费记录里找到下载记录反馈给我们.
  • 下载后发现下载的内容跟说明不相乎,请到消费记录里找到下载记录反馈给我们,经确认后退回积分.
  • 如下载前有疑问,可以通过点击"提供者"的名字,查看对方的联系方式,联系对方咨询.

相关评论

暂无评论内容.

发表评论

*主  题:
*内  容:
*验 证 码:

源码中国 www.ymcn.org