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

Area and surface Are, I cant figure out how to study for my math test

I cant figure out how to study for my math test

Quantitative Techniques, You are given that the total frequency is 900 and ...

You are given that the total frequency is 900 and the median 100.48. From the following frequency distribution, find the class frequencies that are missing. Intelligence No. of Int

Find the sum of all natural numbers, Find the sum of all natural numbers am...

Find the sum of all natural numbers amongst first one thousand numbers which are neither divisible 2 or by 5 Ans:    Sum of all natural numbers in first 1000 integers which ar

Find the distance of the bird from the girl, A boy standing on a horizontal...

A boy standing on a horizontal plane finds a bird flying at a distance of 100m from him at an elevation of 300. A girl standing on the roof of 20 meter high building finds the angl

Algebra, solve for y 3x+4y=7

solve for y 3x+4y=7

Spherical coordinates - three dimensional space, Spherical Coordinates - Th...

Spherical Coordinates - Three Dimensional Space In this part we will introduce spherical coordinates. Spherical coordinates which can take a little getting employed to.  It's

Give introduction to pythagorean theorem, Give Introduction to Pythagorean ...

Give Introduction to Pythagorean Theorem ? The Pythagorean Theorem says that for any right triangle: a 2 + b 2 = c 2 , where c is the hypotenuse, and a and b are the legs. T

form a pythagorean triple, A Pythagorean triple is a set of positive integ...

A Pythagorean triple is a set of positive integers (a,b,c) like  a2 + b2 = c2.  Write a function "ispythag" that will receive 3 positive integers (a, b, c in that order) and will r

Standard deviation, i need to work out the standard deviation of 21.4

i need to work out the standard deviation of 21.4

Algebra 1, the equation of a line that passes through (-3,4) and is perpend...

the equation of a line that passes through (-3,4) and is perpendicular to the line y= -3x + 1 Also Graph the inequality: -3x + y And Use -4.9t(4.9t) + 10t + 1.5 to create a fu

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