2. The mass matrix and the stiffness matrix of a two DOF system are M = 5m 2m 2m 5m and K= 20k 0 0 20k respectively. (1) Determine the natural frequencies (5 pts). (2) Determine the mode shapes (3 pts). (3) Determine the modal matrix (1 pt). (4) Draw the diagram illustrating the mode shape vectors (1 pt).
2. The mass matrix and the stiffness matrix of a two DOF system are M = 5m 2m 2m 5m and K= 20k 0 0 20k respectively. (1) Determine the natural frequencies (5 pts). (2) Determine the mode shapes (3 pts). (3) Determine the modal matrix (1 pt). (4) Draw the diagram illustrating the mode shape vectors (1 pt).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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