lecture_8

# lecture_8 - Step response of a second-order system ME 421...

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ME 421 Mechanical Dynamics and Control Fall 2006, Lecture 8 Today’s topics: 1. Using Laplace transform to obtain forced response of dynamic systems; 2. Concept of transfer function;

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Quiz 2 (10 Minutes)
Review of Laplace Transform

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Use of Laplace Transform to Find the Forced Response
Use of Laplace Transform to Find the Forced Response

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Extension to Higher-Order Dynamics

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D:\Zou Documents D\ME421_Fall06\Lecture\L_7_Exmp.m Page 1 September 14, 2006 10:43:50 AM %==========================
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Unformatted text preview: % Step response of a second-order system; % ME 421 Fall 2006, Lecture 7 %=================================== omega_n = 2; % The natual frequency of % the system; xi = 0.125; t_v = 0:0.1:20; phi = atan(sqrt(1-xi^2)/xi); % The inverse of tangent. omega_d = sqrt(1-xi^2).*omega_n; % Compute the response by the expression; x_t = 0.5*(1 - (1./(sqrt(1 - xi^2))).*exp(-xi*omega_n.*t_v).* . .. sin(omega_d.*t_v+phi)); figure(1), plot(t_v, x_t), grid;...
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lecture_8 - Step response of a second-order system ME 421...

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