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lecture_5 - function x_lin = 2*k*h^2*Theta The linearized...

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ME 421 Mechanical Dynamics and Control Fall 2006, Lecture 5 Today’s topics: 1. Nonlinear dynamics and its linearization; 2. Modeling of fluid dynamics system;
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Linearization of Nonlinear Dynamics
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H:\CourseWork\ME421_Fall06\Lecture\Linearize_Exmp.m Page 1 September 5, 2006 3:39:51 PM %================= % MATLAB M-File Example to interpret the concept of linearization; % Lecture 5 % ME 421 Fall 2006 %===================== k = 2; % The spring constant of the spring; h = 0.5; % The height of the spring from the floor; Theta = -pi:0.01:pi; % We calculate the function between -pi and % pi with 0.01 rad./sec. increment; x_non = 2*k*h^2*sin(Theta)./*cos(Theta); % The original nonlinear
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