Consider a 3-DOF shear building, with 𝑚1 = 2 𝑘g, 𝑚2 = 1 𝑘g, and 𝑚3 = 1 𝑘

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Consider a 3-DOF shear building, with 𝑚1 = 2 𝑘g, 𝑚2 = 1 𝑘g, and 𝑚3 = 1 𝑘

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Consider a 3-DOF shear building, with π‘š1 = 2 π‘˜g, π‘š2 = 1 π‘˜g, and
π‘š3 = 1 π‘˜g. The lateral stiffnesses of floors are π‘˜1 = 10 𝑁/π‘π‘š, π‘˜2 =
5 𝑁/π‘π‘š, and π‘˜3 = 5 𝑁/π‘π‘š. a. Form the mass and stiffness
matrices. b. Solve Generalized Eigenvalue Problem and find
vibration frequencies and mode-shapes. c. Scale the
mode-shapes so that they become mass orthonormalized.
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