Understanding the concepts on Degrees of Freedom

1)

There are no results for A five storey structure with 5 translational DOF is shown here. Each storey has mass ‘m’. The eigenvalue problem has been solved and the 5 periods of vibration Tn and their corresponding mode shapes, φn has been derived. The fundamental period of vibration (T1 = 2 seconds) and its associated mode shape: The second mode of vibration (T2 = 0.6852 seconds) and its associated mode shape: The third mode of vibration (T3 = 0.4346 seconds) and its associated mode shape: The fourth mode of vibration (T4 = 0.3383 seconds) and its associated mode shape: The fifth mode of vibration (T4 = 0.2966 seconds) and its associated mode shape: Ln , Mn and Γn for each of the five modes are to be computed from Equations below. Also, calculate the effective modal mass Mn* and the modal mass participating ratio for the 5 modes. The mass matrix will be required to evaluate these parameters. Finally, obtain the base shear for each of the 5 modes of vibration and the combined base shear as per