Q1.2. Say you have performed an experiment to measure the vertical displacement
ID: 3599619 • Letter: Q
Question
Q1.2. Say you have performed an experiment to measure the vertical displacement of the top surface of a square plate (180mm x 180 mm) under vibration (see figure 1) with certain mode. You have the following set of data from the experiment. x =[-90 -82.5 -75 -62.5 -50 0 50 62.5 75 82.5 90] mm; U =[-20 -10 5 20 37.5 7.5 37.5 20 5 -10 -20]*10e-3 mm; along z-direction If you plot the displacement pattern, it will look like the Green curve in the figure. Now for some other engineering purpose (which you will be exposed in EMCH 260), it is necessary to understand the mathematical pattern of the vibration profile of the plate. So you have been asked by your advisor or the boss in your company to explain the vibration pattern of the plate using a representative mathematical function. Consequently, he also needs to find the inflection zones in the plate along the positive and negative x-axis. Inflection zones are the points where the displacement pattern switches its signs (i.e. either positive to negative or negative to positive). Can you provide him both this answers following EXPLICIT mathematical steps with reasoning? Write down, what are the steps that you need to follow to solve the problem, if you need to do any mathematical derivation and/or mathematical steps by hand, please do so by describing each and every step ‘very clearly’ with the respective name of the procedures, also state why you need to do it. Explain why a particular choice of your function is better than others, How could you justify?
Explanation / Answer
package com;
public class ArraySortedPolynomial implements PolynomialInterface
{
ArraySortedPolynomial()
{
}
ArraySortedPolynomial(String pol)
{
}
@Override
public PolynomialInterface add(PolynomialInterface other) {
// TODO Auto-generated method stub
return null;
}
@Override
public PolynomialInterface subtract(PolynomialInterface other) {
// TODO Auto-generated method stub
return null;
}
}
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