An equivalent discrete model is developed for time domain dynamic analysis of uniform high-rise shear wall-frame buildings with fixed base and carrying any number of tuned mass dampers (TMDs). The equivalent model consists of a flexural cantilever beam and a shear cantilever beam connected in parallel by a finite number of axially rigid members that allow the consideration of intermediate modes of lateral deformation. The proposed model was validated by a building whose lateral resisting system consists of a combination of shear walls and braced frames. The results showed the effectiveness of TMDs to reduce the peak displacements, interstory drift ratio, and accelerations when the building is subjected to a seismic load. The root mean square accelerations due to along-wind loads also decrease if TMDs are attached to the building.
KEYWORDScoupled two-beam model, earthquake engineering, passive control devices, tall buildings, tuned mass dampers, wind engineering
| INTRODUCTIONThe lateral deformation of certain types of buildings can be modeled by shear beams and flexural beams. However, there are many buildings for which these two extreme modes of lateral deformation do not adequately represent their dynamic behavior. [1][2][3][4][5][6][7] Miranda, [8] Miranda and Reyes, [9] Miranda and Taghavi, [10] Reinoso and Miranda, [11] Miranda and Akkar, [12] and Cruz et al. [13] considered intermediate modes of lateral deformation in seismic response of buildings through a two-beam model that couples the bending and shear stiffnesses in parallel. Van Oosterhout [14] used the same coupled two-beam model to evaluate the wind-induced acceleration in tall buildings through an analysis in the frequency domain.Dym et al. [15] and Rahgozar et al. [16] considered intermediate modes of lateral deformation in buildings through a Timoshenko beam model that accounts for shear deformation and rotatory inertia by adding them to an Euler-Bernoulli beam. This model reflects a series coupling of the beam's bending and shear stiffnesses, although the effect of rotational inertia is not a significant factor in tall buildings. [15] The literature features several empirical formulas that allow the estimation of the lowest natural frequency of a tall building as a function of its height. [17][18][19][20][21] Dym and Williams [22] concluded that a coupled shear-flexural model in parallel seems the better model for estimating the frequencies of shear wall-frame buildings because it provides predictions that are consistent with the observed data. On the other hand, a Timoshenko beam model cannot exhibit the correct dependence between the frequencies and the height of the building because it reflects a series coupling of the beam's bending and shear stiffnesses. [22] This shows that a coupled shear-flexural model estimates better the frequencies of tall buildings than a Timoshenko beam model, particularly in shear wall-frame buildings and tube-and-core constructions with the parallel nature of the two-beam model in which transverse displacements du...