Consider a 3-DOF shear building, with 𝑚1 = 2 𝑘g, 𝑚2 = 1 𝑘g, and 𝑚3 = 1 𝑘
Posted: Sun May 08, 2022 9:18 pm
Consider a 3-DOF shear building, with 𝑚1 = 2 𝑘g, 𝑚2 = 1 𝑘g, and
𝑚3 = 1 𝑘g. The lateral stiffnesses of floors are 𝑘1 = 10 𝑁/𝑐𝑚, 𝑘2 =
5 𝑁/𝑐𝑚, and 𝑘3 = 5 𝑁/𝑐𝑚. 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.
𝑚3 = 1 𝑘g. The lateral stiffnesses of floors are 𝑘1 = 10 𝑁/𝑐𝑚, 𝑘2 =
5 𝑁/𝑐𝑚, and 𝑘3 = 5 𝑁/𝑐𝑚. 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.