PreprintArticleVersion 1Preserved in Portico This version is not peer-reviewed
Optimization of Multiple Tuned Mass Damper (MTMD) Parameters for a Primary System Reduced to a Single Degree of Freedom (SDOF) Through the Modal Approach
Version 1
: Received: 26 November 2020 / Approved: 27 November 2020 / Online: 27 November 2020 (09:04:49 CET)
How to cite:
Wielgos, P.; Geryło, R. Optimization of Multiple Tuned Mass Damper (MTMD) Parameters for a Primary System Reduced to a Single Degree of Freedom (SDOF) Through the Modal Approach. Preprints2020, 2020110681. https://doi.org/10.20944/preprints202011.0681.v1
Wielgos, P.; Geryło, R. Optimization of Multiple Tuned Mass Damper (MTMD) Parameters for a Primary System Reduced to a Single Degree of Freedom (SDOF) Through the Modal Approach. Preprints 2020, 2020110681. https://doi.org/10.20944/preprints202011.0681.v1
Wielgos, P.; Geryło, R. Optimization of Multiple Tuned Mass Damper (MTMD) Parameters for a Primary System Reduced to a Single Degree of Freedom (SDOF) Through the Modal Approach. Preprints2020, 2020110681. https://doi.org/10.20944/preprints202011.0681.v1
APA Style
Wielgos, P., & Geryło, R. (2020). Optimization of Multiple Tuned Mass Damper (MTMD) Parameters for a Primary System Reduced to a Single Degree of Freedom (SDOF) Through the Modal Approach. Preprints. https://doi.org/10.20944/preprints202011.0681.v1
Chicago/Turabian Style
Wielgos, P. and Robert Geryło. 2020 "Optimization of Multiple Tuned Mass Damper (MTMD) Parameters for a Primary System Reduced to a Single Degree of Freedom (SDOF) Through the Modal Approach" Preprints. https://doi.org/10.20944/preprints202011.0681.v1
Abstract
The research paper presents a new approach towards constructing motion equations for structures with attached MTMDs (multiple tuned mass dampers). A primary system, with MDOF (multiple dynamic degrees of freedom) was reduced to an equivalent system with a SDOF (single degree of freedom) through the modal approach, and equations from additional MTMDs were added to a thus-created system. Optimization based on H2 and H∞ for the transfer function associated with the generalized displacement of an SDOF system. The research work utilized GA (genetic algorithms) and SA (simulated annealing method) optimization algorithms to determine the stiffness and damping parameters for individual TMDs. The effect of damping and stiffness (MTMD tuning) distribution depending on the number of TMDs was also analyzed. The paper also reviews the impact of primary system mass change on the efficiency of optimized MTMDs, as well as confirms the results of other authors involving greater MTMD effectiveness relative to a single TMD.
Keywords
FEM analysis, vibration control, H2 and H∞ optimization, MTMD, parameter optimization
Subject
Engineering, Civil Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
