Given the modal mass matrix, (m_{q}=left[begin{array}{ll}2 & 0 0 & 2end{array} ight] mathrm{kg}), the modal stiffness

Question:

Given the modal mass matrix, \(m_{q}=\left[\begin{array}{ll}2 & 0 \\ 0 & 2\end{array}\right] \mathrm{kg}\), the modal stiffness matrix, \(k_{q}=\left[\begin{array}{cc}5.858 \times 10^{6} & 0 \\ 0 & 3.414 \times 10^{7}\end{array}\right] \mathrm{N} / \mathrm{m}\), the modal matrix, \([P]=\left[\begin{array}{cc}0.707 & -0.707 \\ 1 & 1\end{array}\right]\), and the modal damping ratios, \(\zeta_{q 1}=0.04\) and \(\zeta_{q 2}=0.02\), complete the following.

(a) Plot the imaginary part \((\mathrm{m} / \mathrm{N})\) of the direct FRF \(X_{2} / F_{2}\). Use a frequency range of \(0: 0.1: 5000 ;(\mathrm{rad} / \mathrm{s})\).
(b) Plot the imaginary part (in \(\mathrm{m} / \mathrm{N}\) ) of the cross FRF \(X_{1} / F_{2}\). Use a frequency range of \(0: 0.1: 5000 ;(\mathrm{rad} / \mathrm{s})\).

Step by Step Answer:

Related Book For  book-img-for-question

Mechanical Vibrations Modeling And Measurement

ISBN: 119669

1st Edition

Authors: Tony L. Schmitz , K. Scott Smith

Question Posted: