A novel approach to the optimum design of MTMDs under seismic excitations
Summary This paper presents an efficient single‐stage scheme for the global optimization of multiple tuned mass dampers subjected to seismic excitations. To take into account the oscillators' vertical and horizontal distribution, the use of the ground structure concept is proposed. This procedu...
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| Veröffentlicht in: | Structural control and health monitoring Jg. 23; H. 11; S. 1290 - 1313 |
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Pavia
Blackwell Publishing Ltd
01.11.2016
John Wiley & Sons, Inc |
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| ISSN: | 1545-2255, 1545-2263 |
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| Abstract | Summary
This paper presents an efficient single‐stage scheme for the global optimization of multiple tuned mass dampers subjected to seismic excitations. To take into account the oscillators' vertical and horizontal distribution, the use of the ground structure concept is proposed. This procedure is very useful because it avoids the pre‐definition of the tuned mass dampers number and their placement. Because the multiple tuned mass dampers optimization problem is nonconvex and multimodal, this paper presents a novel hybrid stochastic/deterministic algorithm. The Firefly algorithm is used in the stochastic part, that is, to locate the global solution region and to provide a starting point to the local optimizer. The Nelder–Mead algorithm is then used as a local optimizer. Global search restarts are applied after convergence of the local search, allowing convergence to the global solution. In addition, because the structural response is obtained in the frequency domain, the scheme becomes very robust and requires considerably less computational effort than time history analysis. For illustration purposes, a numerical example on a ten‐story shear building is demonstrated. Copyright © 2016 John Wiley & Sons, Ltd. |
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| AbstractList | This paper presents an efficient single-stage scheme for the global optimization of multiple tuned mass dampers subjected to seismic excitations. To take into account the oscillators' vertical and horizontal distribution, the use of the ground structure concept is proposed. This procedure is very useful because it avoids the pre-definition of the tuned mass dampers number and their placement. Because the multiple tuned mass dampers optimization problem is nonconvex and multimodal, this paper presents a novel hybrid stochastic/deterministic algorithm. The Firefly algorithm is used in the stochastic part, that is, to locate the global solution region and to provide a starting point to the local optimizer. The Nelder-Mead algorithm is then used as a local optimizer. Global search restarts are applied after convergence of the local search, allowing convergence to the global solution. In addition, because the structural response is obtained in the frequency domain, the scheme becomes very robust and requires considerably less computational effort than time history analysis. For illustration purposes, a numerical example on a ten-story shear building is demonstrated. Summary This paper presents an efficient single‐stage scheme for the global optimization of multiple tuned mass dampers subjected to seismic excitations. To take into account the oscillators' vertical and horizontal distribution, the use of the ground structure concept is proposed. This procedure is very useful because it avoids the pre‐definition of the tuned mass dampers number and their placement. Because the multiple tuned mass dampers optimization problem is nonconvex and multimodal, this paper presents a novel hybrid stochastic/deterministic algorithm. The Firefly algorithm is used in the stochastic part, that is, to locate the global solution region and to provide a starting point to the local optimizer. The Nelder–Mead algorithm is then used as a local optimizer. Global search restarts are applied after convergence of the local search, allowing convergence to the global solution. In addition, because the structural response is obtained in the frequency domain, the scheme becomes very robust and requires considerably less computational effort than time history analysis. For illustration purposes, a numerical example on a ten‐story shear building is demonstrated. Copyright © 2016 John Wiley & Sons, Ltd. Summary This paper presents an efficient single-stage scheme for the global optimization of multiple tuned mass dampers subjected to seismic excitations. To take into account the oscillators' vertical and horizontal distribution, the use of the ground structure concept is proposed. This procedure is very useful because it avoids the pre-definition of the tuned mass dampers number and their placement. Because the multiple tuned mass dampers optimization problem is nonconvex and multimodal, this paper presents a novel hybrid stochastic/deterministic algorithm. The Firefly algorithm is used in the stochastic part, that is, to locate the global solution region and to provide a starting point to the local optimizer. The Nelder-Mead algorithm is then used as a local optimizer. Global search restarts are applied after convergence of the local search, allowing convergence to the global solution. In addition, because the structural response is obtained in the frequency domain, the scheme becomes very robust and requires considerably less computational effort than time history analysis. For illustration purposes, a numerical example on a ten-story shear building is demonstrated. Copyright © 2016 John Wiley & Sons, Ltd. |
| Author | Fadel Miguel, Leandro Fleck Lopez, Rafael Holdorf Torii, André Jacomel Miguel, Letícia Fleck Fadel |
| Author_xml | – sequence: 1 givenname: Leandro Fleck surname: Fadel Miguel fullname: Fadel Miguel, Leandro Fleck email: leandro.miguel@ufsc.br, Correspondence to: Leandro Fleck Fadel Miguel, Department of Civil Engineering, Federal University of Santa Catarina, Rua João Pio Duarte da Silva, CEP 88040-970, Florianópolis, SC, Brazil., leandro.miguel@ufsc.br organization: Department of Civil Engineering, Federal University of Santa Catarina, Florianópolis, Brazil – sequence: 2 givenname: Rafael Holdorf surname: Lopez fullname: Lopez, Rafael Holdorf organization: Department of Civil Engineering, Federal University of Santa Catarina, Florianópolis, Brazil – sequence: 3 givenname: Letícia Fleck Fadel surname: Miguel fullname: Miguel, Letícia Fleck Fadel organization: Department of Mechanical Engineering, Federal University of Rio Grande do Sul, Porto Alegre, Brazil – sequence: 4 givenname: André Jacomel surname: Torii fullname: Torii, André Jacomel organization: Department of Scientific Computing, Federal University of Paraíba, Joao Pessoa, Brazil |
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This paper presents an efficient single‐stage scheme for the global optimization of multiple tuned mass dampers subjected to seismic excitations. To... Summary This paper presents an efficient single-stage scheme for the global optimization of multiple tuned mass dampers subjected to seismic excitations. To... This paper presents an efficient single-stage scheme for the global optimization of multiple tuned mass dampers subjected to seismic excitations. To take into... |
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| SubjectTerms | Algorithms Convergence ground structure approach hybrid stochastic/deterministic optimization method Mathematical models MTMDs optimization novel optimization scheme Optimization Searching seismic excitation Seismic response Stochasticity Vibration dampers |
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| Title | A novel approach to the optimum design of MTMDs under seismic excitations |
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