The natural frequencies and normal modes presented for the 10-DOF system of Example were obtained from the eigenvalue-eigenvector computer program. Verify these numbers by the use of Eq. 9.7-9 for [ωn and Xn=B sin βn ] for the amplitude.
Example
Consider the lO-story building of equal rigid floors and equal interstory stiffness. If the foundation of the building undergoes horizontal translation uo(t), determine the response of the building.