Purchase Solution

Solution to the steady state load-deflection equation.

Not what you're looking for?

Ask Custom Question

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.

Attachments
Purchase this Solution

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

Please see the attached file.

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 ...

Purchase this Solution


Free BrainMass Quizzes
Exponential Expressions

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

Know Your Linear Equations

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.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Probability Quiz

Some questions on probability

Multiplying Complex Numbers

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