Calculating the damping ratio of the system, Electrical Engineering

Consider the following mechanical system:

345_Transfer function.png

a) Write a differential equation that describes the motion for this system.

b) Take the Laplace transform of this equation and determine its transfer function G(s), assuming zero initial conditions.

c) Plot the impulse response of this system using the impulse( ) function, with a 40s time axis.

d) Plot the step response of the system using the step( ) function with a 50s time axis.

e) Use the plot obtained in (d) to determine the nature of the system.

f) Confirm your answer in (e) by calculating the damping ratio of the system.

g) Use the plot obtained in (e) to determine damped frequency of the system oscillation and confirm your result through calculations.

h) Damping of the system is reduced by factor 10. Plot the new step response of the system and determine the 95% rise time.

Posted Date: 2/28/2013 12:59:10 AM | Location : United States







Related Discussions:- Calculating the damping ratio of the system, Assignment Help, Ask Question on Calculating the damping ratio of the system, Get Answer, Expert's Help, Calculating the damping ratio of the system Discussions

Write discussion on Calculating the damping ratio of the system
Your posts are moderated
Related Questions


Q. Consider the circuit of Figure. Determine and sketch i L (t) and v C (t) for capacitance values of (a) 1/6 F, (b) 1/8 F, and (c) 1 / 26 F. Note that the capacitance values ar

Return Instructions These instruction  are used to transfer the program sequence from subroutine to the  calling program. Basically  it restores the  previous  contents  of th

what is compensation of bjt

Q. For the circuit shown in Figure, obtain: (a) z-and y-parameters; (b) Transfer function I 2 /I 1 when V 2 = 0.

Out of a long-term record of precipitation for four adjacent stations you find that records of one station (station D) are missing for the spring months, September, October, and No


Q. A three-phase, 50-Hz induction motor has a full load speed of 700 r/min and a no-load speed of 740 r/min. (a) How many poles does the machine have? (b) Find the slip and t

Q. Explain Fourier Series? The phasor method of circuit analysis can be extended (by using the principle of superposition) to find the response in linear systems due to nonsinu