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

Vector, for what values of (a,b) does the point P (0,a,b) lie on the line t...

for what values of (a,b) does the point P (0,a,b) lie on the line through Q (1,-1,4) and R (2,3,5)?

Conclusion of the argument, State each of the following arguments in abstra...

State each of the following arguments in abstract form. Recognize the premises and the conclusion of the argument. Then test whether the argument is valid or invalid. Describe how

Vector, prove that A=3i+j-2k, B=-i+3j+4k ,C=4i-2j-6k and find the length of...

prove that A=3i+j-2k, B=-i+3j+4k ,C=4i-2j-6k and find the length of the triangle

Matlab, i have a wav file which consists of a number of hammer impact noise...

i have a wav file which consists of a number of hammer impact noises. i want to break up each impact into and individual wav file. i want to ignore the first 40ms of the impact and

I need a quote, i need a quote in analytical methods for engineers (Algebr...

i need a quote in analytical methods for engineers (Algebraic methods)

Control theory., Hi I have just received a math assignment and was wonder...

Hi I have just received a math assignment and was wondering if you can take a look at it and tell me if you can be finished before the 12th of february and what the cost will be.

Modeling, As an engineering student, the ministry of energy and minerals ha...

As an engineering student, the ministry of energy and minerals has tasked you to help them model equation(s) that can estimate the amount of crude oil in a reservoir. The governmen

Assingment , application of mathematics in engineering

application of mathematics in engineering

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