First order system, Engineering Mathematics

Assignment Help:

As with the first order system, there is a general differential equation that governs the response of a second order system.  The equation is of the form:

1359_First order system.png

Where:

919_First order system1.png

So how is the second order differential equation for the spring mass damper generated?

Well, if an input is applied to the mass, the equation of motion for the system can be written as:

 

The general equation for a second order system can be manipulated to give the equation above and vice versa.

1836_First order system3.png

Performing the numerical integration for the second order system

The second order equation order is dealt with by rewriting the equation as pair of first order equations.  The numerical integration can be performed in a similar way to the first order system where:

 

1869_First order system4.png

Of course as all the hardware information is available or selected by the engineer, the value for (d2y/dz2)  can be calculated by manipulating the equation of motion.

498_First order system5.png


Related Discussions:- First order system

Polynomial approximation, how to program lagrange polynomial approximation ...

how to program lagrange polynomial approximation with MATLAB

Three phase cage induction motor, ''A three phase cage induction motor runn...

''A three phase cage induction motor running at full load draws a stator current of 60A at a power factor of 0.8 lagging from a 415v, 50hz supply. Under the following conditions th

Modelling, . The Government of Uganda wants to locate a refinery plant that...

. The Government of Uganda wants to locate a refinery plant that will annually receive crude oil from two wells in Bunyoro region, F1 and F2. The refinery plant will process the cr

Investigate the output of advertising agencies, In an article in Marketing...

In an article in Marketing Science , Silk and Berndt investigate the output of advertising agencies. They describe ad agency output by finding the shares of dollar billing volume

Calculate principal value of the root, Compute the (real and imaginary part...

Compute the (real and imaginary parts of the) principal value of the eighth root of (a + ib) to 3 decimal places (accurate to 10 -3 ). Call the real part "m 7 ", and the imagina

Notice at the gym, You notice at the gym that it appears more women tend to...

You notice at the gym that it appears more women tend to work out together, whereas more men tend to work out alone.  To examine whether this difference is significant, you collect

Matlab and mathmtical., #quesare you can do matlab project for patient sway...

#quesare you can do matlab project for patient sway signal sway measured by center of pressure (cop), to obtain characteristics in ( x,y,z) like velocity profile and acceleration,

Compute the linear arc distance, Question Assume the earth is a sphere ...

Question Assume the earth is a sphere with a radius of 6,371,000.000 meters. Three points are defined by their latitude and longitude. Point Latitude (N) Longitude (W) A

Trigonometric functions, definition of trigonometric function #Minimum 100...

definition of trigonometric function #Minimum 100 words accepted#

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