Question: Problems 1 through 7 deal with the mass-and-spring system shown in Fig. 7.5.11 with stiffness matrix and with the given mks values for the masses

Problems 1 through 7 deal with the mass-and-spring system shown in Fig. 7.5.11 with stiffness matrix

K=[-1 -(k1 +k) k2 -K3)] k2 -(k + k3)

and with the given mks values for the masses and spring constants. Find the two natural frequencies of the system and describe its two natural modes of oscillation.

m1 = 1 , m2 = 2; k1 = 1, k2 = k3 = 2

K=[-1 -(k1 +k) k2 -K3)] k2 -(k + k3)

Step by Step Solution

3.40 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

2 has eigenvalues1 and 4 with associated 1 2 eigenvectors v 11 and v 2 1 Hence a general solutio... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related First Course Differential Equations Questions!