Given the two degree of freedom system shown in Fig. P4.3, complete the following. (a) Write the
Question:
Given the two degree of freedom system shown in Fig. P4.3, complete the following.
(a) Write the equations of motion in matrix form.
(b) Write the system characteristic equation using Laplace notation. Your solution should be a polynomial that is quadratic in \(s^{2}\) with appropriate numerical coefficients.
(c) Determine the natural frequencies (in \(\mathrm{rad} / \mathrm{s}\) ).
(d) Determine the mode shapes (normalize to coordinate \(x_{2}\) ).
Fig. P4.4 Two degree of freedom spring-mass system.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Mechanical Vibrations Modeling And Measurement
ISBN: 119669
1st Edition
Authors: Tony L. Schmitz , K. Scott Smith
Question Posted: