2019/05/31 by G. Raze, Ghislain Raze, G. Kerschen +2 · 48 citations
Engineering · Mathematics · #Acoustic Wave Phenomena Research #Algorithm #Amplitude #Artificial intelligence #Computer science #Mathematical analysis #Mathematics #Maxima and minima #Minification #Physics #Seismic Performance and Analysis #Vibration Control and Rheological Fluids #math.DS #math.OC
paper · pdf · doi:10.1016/j.compstruc.2021.106485
published in Computers & Structures 248, 106485 (Elsevier BV) · This is a new version of a preprint previously named "All-equal-peak design of multiple tuned mass dampers using norm-homotopy optimization"
arxiv created 2021/01/17 · openalex publication_date 2021/02/24 · arxiv updated 2021/02/26 · openalex created_date 2021/03/01 · openalex updated_date 2026/08/05
In this paper, a new computational method for the purpose of multimodal vibration mitigation using multiple tuned mass dampers is proposed. Classically, the minimization of the maximum amplitude is carried out using direct H_∞ optimization. However, as shall be shown in the paper, this approach is prone to being trapped in local minima, in view of the nonsmooth character of the problem at hand. This is why this paper presents an original alternative to this approach through norm-homotopy optimization. This approach, combined with an efficient technique to compute the structural response, is shown to outperform direct H_∞ optimization in terms of speed and performance. Essentially, the outcome of the algorithm leads to the concept of all-equal-peak design for which all the controlled peaks are equal in amplitude. This unique design is new with respect to the existing body of knowledge.