The effect of tuned mass dampers and liquid dampers on wind- induced response of tall/slender structures

An investigation is made of the possible application of tuned liquid dampers in conjunction with tuned mass dampers in reducing the wind-induced response of wind-sensitive structures. The structure is modelled as a lumped mass multi-degree-of-freedom system taking into account both bending and shear. The wind turbulence is modelled as a stochastic process which is stationary in time and non-homogeneous in space. The effectiveness of the damping device is measured in terms of the reduced motion and the overall mass of the proposed system. A random vibration analysis utilizing transfer matrix formulation is carried out to obtain response statistics. An equivalent linearization technique is employed to deal with the non-linear damping term in the fundamental equation of the tuned liquid damper. Numerical examples of a tall building and a television tower are given to illustrate the effectiveness of the proposed stystem. (A)