fs
static load
fs = ku
stiffness of column with rigid roof
k = 12 EI / h^3
stiffness of column with no stiffness in roof
k = 3EI / h^3
damping
dissipation of energy in vibrating system by various mechanisms
- allows for reduction in vibration amplitudes
mechanisms of damping
complex and occur for various reasons
fd
visocous damping (velocity proportional damping) fd = cudot
ut
total structural displacement
ut = ug + u