Finding natural frequency and mode shape of damped 4 degree of freedom

5 views (last 30 days)
Assume that the m1= 40 kg, m2 = 1800 kg, I = 5000 kg-m2, l1 = 3.2 m, l2= 2.1 m, k1 = k2 = 90,000 N/m, and c = 800 Nm/s;
  1. Determine natural frequencies and the mode shapes.
  2. Considering the base displacement x1(t) = 0.1 sin (66t) applied on the right side only.

Answers (1)

J Chen
J Chen on 3 May 2022
Edited: J Chen on 3 May 2022
Use F=ma to develop the differntial equations for m1, m2. Use F=ma and M=Iw for m3. The natural frequencies and mode shapes are the eigenvalues and eigenvectors.

Products

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!