Calibration of Viscous Damping–Stiffness Control Force in Active and Semi-Active Tuned Mass Dampers for Reduction of Harmonic Vibrations
Tuned mass dampers (TMDs) are commonly used to mitigate vibrations in civil structures. There is a growing demand for new solutions that offer similar effectiveness as TMDs but with reduced mass. In this context, this paper investigates active (ATMD) and semi-active (STMD) tuned mass dampers with re...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/21/11645 |
| _version_ | 1797632180005896192 |
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| author | Marcin Maślanka |
| author_facet | Marcin Maślanka |
| author_sort | Marcin Maślanka |
| collection | DOAJ |
| description | Tuned mass dampers (TMDs) are commonly used to mitigate vibrations in civil structures. There is a growing demand for new solutions that offer similar effectiveness as TMDs but with reduced mass. In this context, this paper investigates active (ATMD) and semi-active (STMD) tuned mass dampers with relative displacement and velocity feedback. The control force of the ATMD is assumed to be the sum of viscous damping and either positive or negative stiffness forces. This control force is calibrated for a specific parameter <i>K</i> such that the effectiveness of the ATMD in reducing harmonic vibrations matches that of the TMD with <i>K</i> times larger mass. The optimal calibration is derived based on the mathematical reformulation of an existing optimal acceleration feedback control algorithm. The control approach for the ATMD is then applied to the STMD. Subsequently, the sub-optimal STMD is analyzed, with a focus on its limitations arising from the clipping of active forces. Finally, the paper presents a calibration of the STMD using a numerical optimization method. It is demonstrated that the maximum achievable performance of the numerically optimized STMD matches that of the TMD with three times larger mass. |
| first_indexed | 2024-03-11T11:34:20Z |
| format | Article |
| id | doaj.art-0cf8ade8b6d043c491887823b98282ce |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T11:34:20Z |
| publishDate | 2023-10-01 |
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| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-0cf8ade8b6d043c491887823b98282ce2023-11-10T14:58:16ZengMDPI AGApplied Sciences2076-34172023-10-0113211164510.3390/app132111645Calibration of Viscous Damping–Stiffness Control Force in Active and Semi-Active Tuned Mass Dampers for Reduction of Harmonic VibrationsMarcin Maślanka0Department of Process Control, Faculty of Mechanical Engineering and Robotics, AGH University of Krakow, al. Mickiewicza 30, 30-059 Krakow, PolandTuned mass dampers (TMDs) are commonly used to mitigate vibrations in civil structures. There is a growing demand for new solutions that offer similar effectiveness as TMDs but with reduced mass. In this context, this paper investigates active (ATMD) and semi-active (STMD) tuned mass dampers with relative displacement and velocity feedback. The control force of the ATMD is assumed to be the sum of viscous damping and either positive or negative stiffness forces. This control force is calibrated for a specific parameter <i>K</i> such that the effectiveness of the ATMD in reducing harmonic vibrations matches that of the TMD with <i>K</i> times larger mass. The optimal calibration is derived based on the mathematical reformulation of an existing optimal acceleration feedback control algorithm. The control approach for the ATMD is then applied to the STMD. Subsequently, the sub-optimal STMD is analyzed, with a focus on its limitations arising from the clipping of active forces. Finally, the paper presents a calibration of the STMD using a numerical optimization method. It is demonstrated that the maximum achievable performance of the numerically optimized STMD matches that of the TMD with three times larger mass.https://www.mdpi.com/2076-3417/13/21/11645vibrationdampingtuned mass dampersactivesemi-activecontrol |
| spellingShingle | Marcin Maślanka Calibration of Viscous Damping–Stiffness Control Force in Active and Semi-Active Tuned Mass Dampers for Reduction of Harmonic Vibrations Applied Sciences vibration damping tuned mass dampers active semi-active control |
| title | Calibration of Viscous Damping–Stiffness Control Force in Active and Semi-Active Tuned Mass Dampers for Reduction of Harmonic Vibrations |
| title_full | Calibration of Viscous Damping–Stiffness Control Force in Active and Semi-Active Tuned Mass Dampers for Reduction of Harmonic Vibrations |
| title_fullStr | Calibration of Viscous Damping–Stiffness Control Force in Active and Semi-Active Tuned Mass Dampers for Reduction of Harmonic Vibrations |
| title_full_unstemmed | Calibration of Viscous Damping–Stiffness Control Force in Active and Semi-Active Tuned Mass Dampers for Reduction of Harmonic Vibrations |
| title_short | Calibration of Viscous Damping–Stiffness Control Force in Active and Semi-Active Tuned Mass Dampers for Reduction of Harmonic Vibrations |
| title_sort | calibration of viscous damping stiffness control force in active and semi active tuned mass dampers for reduction of harmonic vibrations |
| topic | vibration damping tuned mass dampers active semi-active control |
| url | https://www.mdpi.com/2076-3417/13/21/11645 |
| work_keys_str_mv | AT marcinmaslanka calibrationofviscousdampingstiffnesscontrolforceinactiveandsemiactivetunedmassdampersforreductionofharmonicvibrations |