An application of stochastic optimization method using order statistics to the design of distributed tuned mass dampers in a single layer lattice dome

Abstract

Multiple tuned mass dampers (TMDs) are known to be effective when the system is excited by a wideband random disturbance. We study an influence of placement of multiple TMDs in spatial and frequency domain. In this problem, we decide the spatial arrangement, frequency and damping characteristics of the TMDs. Furthermore, we should consider multiple mode excitation close to the natural frequency in spatial structures. We present a method which is guaranteed to find a near-optimal solution with pre-assigned accuracy. The key concept of the method is use of order statistics with random search, which is also known as distribution-free tolerance intervals. Heuristic techniques: model order reduction techniques work effectively in conjunction with the proposed method without lack of validity of the theory.