Spring Pendulum example

# Spring Pendulum example - Spring Pendulum example. MATLAB...

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Spring Pendulum example. MATLAB ‘m’ files – SETUP, EQUATIONS and SOLVER. % File: SpringPend_Setup.m % Spring-pendulum model 02/21/07 % Example has multiple EPs that are parameter-dependent. %---------------------------------------------------------------- global M L Jp g k bp % str= 'Spring Pendulum run with parameters:' M= 2.0 % kg L= 0.5 % m Jp= M*L*L % kg-m^2 (derived for specific model) g= 9.81 % m/s^2 % k value is critical for fixed M, L, g % Free length of spring is zero % If k is 0, then classical pendulum system % If k < (M*g)/L, then weak spring and stable at theta = 0 % If k > (M*g/L), then strong spring and unstab;e at theta = 0 % Kcrit= M*g/L = 39.24 %SpringPend_Solver.m %k= 0.0; % Nm/rad %k= 20.0 % weak spring k= 50.0 % N/m % bp= 10.0 % Nms pin friction to converge oscillations somewhat if desired % %---------------------------------------------------------------- % File: SpringPend_Eqs.m % function xdot= SpringPend_Eqs(t,x) % Spring-pendulum model 02/20/07 % Example has multiple EPs that are parameter-dependent. % % x(1) is w, ang_vel

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## This note was uploaded on 07/25/2008 for the course ME 457 taught by Professor Rosenberg during the Spring '07 term at Michigan State University.

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Spring Pendulum example - Spring Pendulum example. MATLAB...

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