Coupled‐two‐beam discrete model for dynamic analysis of tall buildings with tuned mass dampers including soil–structure interaction

An equivalent coupled-two-beam discrete model is developed for time-domain dynamic analysis of high-rise buildings with flexible 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 allows the consideration of intermediate modes of lateral deformation. The equivalent model is applied to a shear wall-frame building located in the Valley of Mexico, where the effects of soil-structure interaction (SSI) are important. The effects of SSI and TMDs on the dynamic properties of the shear wall-frame building are shown considering four types of soil (hard rock, dense soil, stiff soil, and soft soil) and two passive damping systems: a single TMD on its top (1-TMD) and five uniformly distributed TMDs (5-TMD). The results showed a great effectiveness of the TMDs to reduce the lateral seismic response and along-wind response of the shear wall-frame building for all types of soils. Generally speaking, the dynamic response increases as the flexibility of the foundation increases.