Abstract
This paper introduces a novel methodology for the optimum design of linear tuned mass dampers (TMDs) to improve the seismic safety of structures through a novel Whale Optimization Algorithm (WOA). The algorithm is aimed to reduce the maximum horizontal peak displacement of the structure, and the root mean square (RMS) response of displacements as well. Furthermore, four additional objective functions, derived from multiple weighted linear combinations of the two previously mentioned parameters, are also studied in order to obtain the most efficient TMD design configuration. The differential evolution method (DEM), whose effectiveness has been previously demonstrated for TMD applications, and an exhaustive search (ES) process, with precision to two decimal positions, are used to compare and validate the results computed through WOA. Then, the proposed methodology is applied to a 32-story case-study derived from an actual building, and multiple ground acceleration time histories are considered to assess its seismic performance in the linear-elastic range. The numerical results show that the proposed methodology based on WOA is effective in finding the optimal TMD design configuration under earthquake loads. Finally, practical design recommendations are provided for TMDs, and the robustness of the optimization is demonstrated.
Highlights
This study introduces a novel methodology for the optimal design of passive tuned mass dampers (TMDs) located at upper levels of high-rise buildings to improve the seismic safety of structures based on the Whale Optimization Algorithm (WOA) [56]
It should be noted that differential evolution method (DEM) has proved to be effective in solving the tuning problem of TMDs and
In all cases the results are in excellent agreement with those computed through the DEM
Summary
Structural control systems have turned into a standard technology to improve the dynamic response of civil engineering structures subjected to dynamic actions, such as wind forces or earthquake loads [1]. These control systems can be classified into four major groups: passive, active, hybrid, and semiactive controllers. One of the most commonly used and tested devices throughout the years has been the tuned mass damper (TMD) This system consists of attaching an additional mass linked to the main structure using a spring and a viscous damper, which is optimally tuned to one of the fundamental vibration frequencies of the system in order to transfer energy among the vibrating modes by making the structure more flexible [3]. Conventional tuning methodologies have been proposed thereafter, considering the harmonic loads, and random stationary and nonstationary white noise processes for single degree of freedom systems [6,7,8,9]
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