a) Please refer the diagram below:
The equations of motion are
b) In matrix form
c) With
The matrix equation is
The natural frequencies are given by solutions of the following equation
Solving the above in Matlab eig function:
d) The eigenvectors are given as
V =
-0.2413 -0.1585
-0.2745 0.4179
First normalisation is done by forcing the largest component of eigenvector to +1
Hence normalised eigenvectors are
Eigenvector mass normalisation
We assume mass normalised eigenvedtors as
Hence
Hence
Solving in Matlab
Similarly
Hence mass normalised eigenvectors are
Check for diagonal matrix
The Matlab result screenshot is given below:
(Please note that 4 subquestions need to be answered as per Chegg guidelines)
Homework 7: Undamped, 2-DOF System 1. A system with two masses of which the origins are...
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steps, using the provided data values.
Many thanks.
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