Notes

Totally Flexable case Between two values Frame Stiffness for Intermediate Beam Stiffness - Formulate the stiffness ma

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Totally Flexable case

Between two values

Frame Stiffness for Intermediate Beam Stiffness - Formulate the stiffness matrix of the frame with respect to three DOFS: a lateral translation u, and 2 rotational u2 and uz (we do this to eleimenate the rotation and find the stiffness of lateral translation)

the process by which free vibration steadily diminishes in amplitude is called damping.

mechanisms also contribute to the energy dissipation. In a vibrating building these include friction at steel connections, opening and closing of microcracks in concrete, and friction between the structure itself and nonstructural elements such as partition walls. Unlike the stiffness of a structure, the damping coefficient cannot be calculated from the dimensions of the structure and the sizes of the structural elements.

the measured rate at which motion decays in free vibration will provide a basis for evaluating the damping coefficient,

The damping property may also be determined from forced vibration experiments,

Viscous damping symblye