Purchase Solution

Not what you're looking for?

The steady state deflection is given by:

y''''+c^4*y=f(x)

calculate and plot the deflection for a load:

f = 1 for |x|<10, f=0 everywhere else.

using Fourier transform.

Plot the deflection for various values of c.

##### Solution Summary

the solution utilizes Fourier transform and complex-variables integration to solve this fourth order non-homogeneous differential equation. The solution contains 9 pages of derivations and graphs.

##### Solution Preview

The equation is:

The Fourier transform of the equation is:

The function is a simple "boxcar" function.

A boxcar function of the form

And:

Thus:

We need to evaluate:

The integrand has 5 simple poles.
One is obviously k=0 and the others are the roots of the equation:

The roots ...

##### Free BrainMass Quizzes

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.