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

I am looking for engineering math solution, HEllo, i am looking for math so...

HEllo, i am looking for math solutions online? Let me know how to get it?

Derivatives, At 8am particle A is at point (0,0) and moves horizontally to ...

At 8am particle A is at point (0,0) and moves horizontally to the right with constant velocity of 60km/hr. At the same time particle B is at the point (0, A+B+C+5) and moves horiz

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.

Vibration of Electronic s Module, An electronic module is mounted on a mac...

An electronic module is mounted on a machine and is modelled as a single degree of freedom spring, mass, and damper. During normal operation, the module of mass m kg is subject to

555 dual astable multivibrator circuit diagram, could u show me a 555 dual ...

could u show me a 555 dual astable multivibrator circuit diagram?

Truss elements and fe project, A new gantry crane for a metal fabrication s...

A new gantry crane for a metal fabrication shop is to be designed. The designer has proposed the following two different configurations: A. Using only truss elements B. Using the

Inverse z transform, after solving the difference equation using z transfor...

after solving the difference equation using z transform, how to find the inverse z transform for the answer

Fourier Series, A function f(t) is defined as f(t) = p - t for 0 Write do...

A function f(t) is defined as f(t) = p - t for 0 Write down the even extension of f(t) for -p Determine the Fourier cosine series, and hence, calculate the Fourier series approx

Simulating the second order system, First systems were described as systems...

First systems were described as systems that had one method of storing energy.  Second order systems; wait for it.... have two methods of storing energy.  Using a similar mechanica

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