Optimal Design Formula for Tuned Mass Damper Based on an Analytical Solution of Interaction between Soil and Structure with Rigid Foundation Subjected to Plane SH-Waves

The tuned mass damper (TMD) is widely used for vibration mitigation, especially in high-rise buildings where significant soil-structure interaction (SSI) effects are usually involved. This creates a need to consider SSI TMD design. In this work, novel design framework systems with proposed. For response evaluations, structure-TMD modeled as two-degrees-of-freedom (2DOF) system, standing on rigid foundation and subject out-of-plane SH seismic wave inputs homogeneous half-space. Closed-form analytical solutions of its displacement acceleration responses derived, the H2-norm system transfer function introduced quantify performances TMDs. problem then formulated solved by optimizing performances. Considering that aspects other than e.g., strokes, device costs, etc., may be critical damping ratios, developed firstly making an informed selection subsequently tuning frequency ratios through calibrated formulae. addition, strokes versus investigated facilitate determination ratios. A case study based real-existing building carried out illustrate application proposed framework. has proven highly efficient effective suitable use practical engineering.