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

Evaluate the expression for various smoothers, Evaluate the expression belo...

Evaluate the expression below for various smoothers, plot and compare the results, making appropriate comments.

Assingment , application of mathematics in engineering

application of mathematics in engineering

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

Expression to be programmed in matlab, can you help be please to program a ...

can you help be please to program a complex expression in matlab using monte carlo solution

Two distinct case, A) Prove the following theorem by considering two distin...

A) Prove the following theorem by considering two distinct cases. For any integer n, n 2 + n is even. B)  If x = r 2  - s 2 and y = 2rs for any integers r and s, then x 2 +

Provide a derivation, This is a pen and paper exercise, you are expected to...

This is a pen and paper exercise, you are expected to provide a detailed derivation. Follow the procedure outlined in the lectures for construction of a simple averaging by thr

Dynamics, A stone weighing 50 newton is tied to one end of a cord 0.90 mete...

A stone weighing 50 newton is tied to one end of a cord 0.90 meter long. the stone is then whirled in a vertical circle. if the breaking strength of the cord in tension is 60 newto

Mechanical advantage, MA for pulling a 1500 gram cart up a 20 degree plane ...

MA for pulling a 1500 gram cart up a 20 degree plane up a 1 meter ramp using a wheel and axel. Wheel diameter is 8 cm

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,

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