Question

QUESTION 4 This question will reinforce how the Bode plot provides the steady-state response for a linear system in response to a sinusoidal input. Consider this forced mass-spring-damper system: Let M 6, B-48, K-72 Part a) As you did for HW 1, determine steady-state solution "x,()" when FC) 3120 cos(4b) Part b) Determine the transfer function Part c) The Bode plots for the transfer function of Part b are provided in this handout. with the parameter values of Part a. F(s) obtain the steady-state solution, in the form of xp(t)-A cos( t + Ф) where Ф is in radians, for the same forcing function F(t) from Part a. Part d) Using Matlab, Excel, or any suitable software, verify that the solutions "x(t)" from Part a and Part c are identical by plotting these two responses on the same plot SUGGESTION: Use a time vector which ranges from 0 to 10 seconds Bode plots for Question 4 (Part c) -20 -40 -60 -80 -100 120 -140 10 10 102 10 Frequency (rad/sec) 10 10 -150.. -200 10 101 102 10 10 10 Frequenoy (rad/seo)

Answer 1

In this solution some basic concepts of Vibration Mechanics are used. For more information, refer to any standard textbook or drop a comment below. Please give a positive rating if solution is helpful.

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