Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis
Dynamic vibration absorbers are discrete devices developed in the beginning of the last century used to attenuate the vibrations of different engineering structures. They have been used in several engineering applications, such as ships, power lines, aeronautic structures, civil engineering construc...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2010-0544 |
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| _version_ | 1832551112007221248 |
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| author | R.A. Borges A.M.G. de Lima V. Steffen Jr. |
| author_facet | R.A. Borges A.M.G. de Lima V. Steffen Jr. |
| author_sort | R.A. Borges |
| collection | DOAJ |
| description | Dynamic vibration absorbers are discrete devices developed in the beginning of the last century used to attenuate the vibrations of different engineering structures. They have been used in several engineering applications, such as ships, power lines, aeronautic structures, civil engineering constructions subjected to seismic induced excitations, compressor systems, etc. However, in the context of nonlinear dynamics, few works have been proposed regarding the robust optimal design of nonlinear dynamic vibration absorbers. In this paper, a robust optimization strategy combined with sensitivity analysis of systems incorporating nonlinear dynamic vibration absorbers is proposed. Although sensitivity analysis is a well known numerical technique, the main contribution intended for this study is its extension to nonlinear systems. Due to the numerical procedure used to solve the nonlinear equations, the sensitivities addressed herein are computed from the first-order finite-difference approximations. With the aim of increasing the efficiency of the nonlinear dynamic absorber into a frequency band of interest, and to augment the robustness of the optimal design, a robust optimization strategy combined with the previous sensitivities is addressed. After presenting the underlying theoretical foundations, the proposed robust design methodology is performed for a two degree-of-freedom system incorporating a nonlinear dynamic vibration absorber. Based on the obtained results, the usefulness of the proposed methodology is highlighted. |
| format | Article |
| id | doaj-art-56de03d7708c46d3b4a6b253c7e0db72 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-56de03d7708c46d3b4a6b253c7e0db722025-02-03T06:04:55ZengWileyShock and Vibration1070-96221875-92032010-01-01174-550752010.3233/SAV-2010-0544Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity AnalysisR.A. Borges0A.M.G. de Lima1V. Steffen Jr.2Federal University of Tocantins, Mathematic Department Campus Arraias, Av. Universitária, Centro, CEP 77330-000, Arraias-TO, BrazilFederal University of Itajubá, Mechanical Engineering Institute Campus José Rodrigues Seabra, P.O.Box 50, CEP 37500-903, Itajubá-MG, BrazilFederal University of Uberlândia, School of Mechanical Engineering Campus Santa Mônica, P.O.Box 593, CEP 38400-902, Uberlândia-MG, BrazilDynamic vibration absorbers are discrete devices developed in the beginning of the last century used to attenuate the vibrations of different engineering structures. They have been used in several engineering applications, such as ships, power lines, aeronautic structures, civil engineering constructions subjected to seismic induced excitations, compressor systems, etc. However, in the context of nonlinear dynamics, few works have been proposed regarding the robust optimal design of nonlinear dynamic vibration absorbers. In this paper, a robust optimization strategy combined with sensitivity analysis of systems incorporating nonlinear dynamic vibration absorbers is proposed. Although sensitivity analysis is a well known numerical technique, the main contribution intended for this study is its extension to nonlinear systems. Due to the numerical procedure used to solve the nonlinear equations, the sensitivities addressed herein are computed from the first-order finite-difference approximations. With the aim of increasing the efficiency of the nonlinear dynamic absorber into a frequency band of interest, and to augment the robustness of the optimal design, a robust optimization strategy combined with the previous sensitivities is addressed. After presenting the underlying theoretical foundations, the proposed robust design methodology is performed for a two degree-of-freedom system incorporating a nonlinear dynamic vibration absorber. Based on the obtained results, the usefulness of the proposed methodology is highlighted.http://dx.doi.org/10.3233/SAV-2010-0544 |
| spellingShingle | R.A. Borges A.M.G. de Lima V. Steffen Jr. Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis Shock and Vibration |
| title | Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis |
| title_full | Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis |
| title_fullStr | Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis |
| title_full_unstemmed | Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis |
| title_short | Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis |
| title_sort | robust optimal design of a nonlinear dynamic vibration absorber combining sensitivity analysis |
| url | http://dx.doi.org/10.3233/SAV-2010-0544 |
| work_keys_str_mv | AT raborges robustoptimaldesignofanonlineardynamicvibrationabsorbercombiningsensitivityanalysis AT amgdelima robustoptimaldesignofanonlineardynamicvibrationabsorbercombiningsensitivityanalysis AT vsteffenjr robustoptimaldesignofanonlineardynamicvibrationabsorbercombiningsensitivityanalysis |