Calculating the damping ratio of the system, Electrical Engineering

Assignment Help:

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.


Related Discussions:- Calculating the damping ratio of the system

First quadrant or class a chopper, First Quadrant or Class A chopper A ...

First Quadrant or Class A chopper A chopper  two mode operation of class  A chopper  can be explained as follow.

Calculate the total head loss between points, Look at figure below and use....

Look at figure below and use.  Water (50°F) flows at 250 gpm through the pipe system at the bottom of this page. All piping is four inch (4") diameter cast iron. The distance betwe

Seal management - meter field testing, Seal Management - Meter Field Testin...

Seal Management - Meter Field Testing For an effective seal management system it is necessary that: i) The  seals  used  are  tamper  proof,  that is they  cannot  be  remo

Analysis flow, Analysis Flow Similar to most subjects, the analysis of...

Analysis Flow Similar to most subjects, the analysis of semiconductor devices is also performed by starting from simpler problems and regularly progressing to more complex one

Sensor selection, Submit a brief report on the selection of two commerciall...

Submit a brief report on the selection of two commercially available sensors for the following: • Research and recommend a sensor for a real full size conveyor system of approxima

Discuss the control words of ic8259, Discuss the control words (ICWS) of IC...

Discuss the control words (ICWS) of IC8259. The Intel 8259 is a single chip programmable interrupt controller. It is compatible with 8086, 8088 and 8085 microprocessor. It is a

Microcontroller interfacing, The winch uses a 415 Volt 50 Hz AC motor, so b...

The winch uses a 415 Volt 50 Hz AC motor, so both the up/down and run/stop controls actually operate +24V relays, whose contacts switch the 415Vac to the winch. The relays also pro

Determine the input resistance between terminals of circuit, Q. Consider Fi...

Q. Consider Figure of the weighted differencing amplifier. Let R 3 = R 1 and R 4 = R 2 . Determine the input resistance between terminals a and b of the circuit.

Working of microprocessor control, Q. Working of Microprocessor Control? ...

Q. Working of Microprocessor Control? The microprocessor, which has rapidly become a key component in digital control systems, and its associated circuits function as the digit

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd