Forced - damped vibrations, Mathematics

Assignment Help:

It is the full blown case where we consider every final possible force which can act on the system. The differential equation in this case,

Mu'' + γu'  + ku = F( t)

The displacement function here will be

u(t) = uc(t) + UP(t)

Here the complementary solution will be the solution to the free, damped case and the exact solution will be found using undetermined coefficients or variation of parameter that ever is most convenient to utilize.

There are a couple of things to see now about this case. First, from our work back into the free, damped case we identify that the complementary solution will come to zero as t increases.

Due to this the complementary solution is often termed as the transient solution in this case. Also, due to this behavior the displacement will start to look more and more like the exact solution as t raises and so the particular solution is frequently termed as the steady state solution or forced response.


Related Discussions:- Forced - damped vibrations

Linear differential equations, The first particular case of first order dif...

The first particular case of first order differential equations which we will seem is the linear first order differential equation. In this section, unlike many of the first order

Fractions, I have a log that is 1/3 in mud and the rest of it is 6 meters l...

I have a log that is 1/3 in mud and the rest of it is 6 meters long. How long is the entire log?

Fractions, my daughter brought home home work im not sure how to do it the ...

my daughter brought home home work im not sure how to do it the fractions has to be labled from least to greatest

Probability: determine the optimal strategy , On a picnic outing, 2 two-pe...

On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four  hiding locations (A, B, C, and D), and the two members of the hiding team can hide separately in a

Circle, prove the the centre of a circle is twice of reference angle

prove the the centre of a circle is twice of reference angle

Factors, write down all the factors of 36

write down all the factors of 36

How does the algorithm work?, How Does The Algorithm Work? Most of us, ...

How Does The Algorithm Work? Most of us, when asked to multiply, say, 35 by 23, write Why do we place the mark x (or 0, or leave a blank) in the second row of the calcul

Aging, The average age of a woman and her daughter is 16 years. The ratio o...

The average age of a woman and her daughter is 16 years. The ratio of their ages is 7: 1. Then the woman''s age is

Trignometry, prove that sin A /cot A + cosec A = 2 + sinA / cot A - cosec A...

prove that sin A /cot A + cosec A = 2 + sinA / cot A - cosec A

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