journal article·2023-06-19Open access

Application of Parametric Forced Tuned Solid Ball Dampers for Vibration Control of Engineering Structures

Michael Reiterer, Joachim Muik

Applied Sciences· Volume 13· Issue 12

Abstract

In this paper, parametric forced tuned solid ball dampers (TSBD) are considered for vibration control of engineering structures in an untypical way. The special feature of the presented investigation is to evaluate the potential application of parametric forcing of the rolling cylindrical or spherical body in the runway for reducing the vertical vibrations of a vibration-prone main system. Typically, tuned solid ball dampers are applied to structures that are prone to horizontal vibrations only. The coupled nonlinear differential equations of motion are derived and the phenomenon of parametric resonance of the rolling body in the runway is analyzed. A criterion for avoiding parametric resonance is given to achieve the optimal damping effect of the TSBD. In the second part of the article, a method for the targeted use of parametric resonance to reduce the vertical vibrations of engineering structures is presented and verified, considering a biaxially harmonic excited pedestrian bridge. It is shown that, with a suitable choice of damper parameters, a stable vibration of the rolling body in the runway is formed over the course of the vibration despite the occurrence of parametric resonance and that the maximum vertical vibration amplitudes of the main system can be reduced up to 93%. Hence, the here presented untypical application of parametric forced TSBD for reducing the vertical forced vibrations of vibration-prone main systems could be successfully demonstrated.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Vibration Control and Rheological Fluids · Structural Engineering and Vibration Analysis · Vibration and Dynamic Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Research Unit of Mechanics and Structural Dynamics, Institute of Structural Engineering, TU Wien, Karlsplatz 13/212-03, 1040 Vienna, Austria

Department of Structural Dynamics, REVOTEC Engineering, 1070 Vienna, Austria

Funding

TU Wien

References (44)

Show source-provided references
1. Petersen, C. (2001). Schwingungsdämpfer im Ingenieurbau, Maurer Söhne GmbH & Co. KG. (In German).
2. Frahm, H. (1911). Device for Damping Vibrations of Bodies. (0989958), U.S. Patent.
3. Theory of the Dynamic Vibration Absorber
4. Den Hartog, J.P. (1936). Mechanische Schwingungen, Verlag von Julius Springer. (In German).10.1007/978-3-662-28428-5 ↗
5. Optimum Absorber Parameters for Simple Systems10.1002/eqe.4290080302 ↗
6. Optimum Tuning and Damping of a Dynamic Vibration Absorber Applied to a Force Excited and Damped Primary System10.1016/S0022-460X(81)80176-9 ↗
7. Soong, T.T., and Dargush, G.F. (1997). Passive Energy Dissipation Systems in Structural Engineering, John Wiley & Sons.
8. Optimum Vibration Absorbers for Linear Damped Systems
9. Optimum Design of Absorber for MDOF Structures10.1061/(ASCE)0733-9445(1998)124:11(1272) ↗
10. Bi-axial Seismic Activation of Civil Engineering Structures Equipped with Tuned Liquid Column Dampers
11. Hochrainer, M.J. (2001). Control of Vibrations of Civil Engineering Structures with Special Emphasis on Tall Buildings. [Ph.D. Thesis, Vienna University of Technology].
12. Reiterer, M. (2004). Damping of Vibration Prone Engineering Structures with Emphasis on Bridges. [Ph.D. Thesis, Vienna University of Technology]. (In German).
13. Vibration prone multi-purpose buildings and towers effectively damped by tuned liquid column-gas dampers
14. Control of Pedestrian-Induced Vibrations of Long Span Bridges10.1002/stc.91 ↗
15. Control of tall building vibrations by sealed tuned liquid column dampers10.1002/stc.90 ↗
16. Wind induced vibration of tower and practical applications of tuned sloshing damper
17. Tuned mass damper for self-excited vibration control: Optimization involving nonlinear aeroelastic effect10.1016/j.jweia.2021.104836 ↗
18. Research developments in vibration control of structures using passive tuned mass dampers10.1016/j.arcontrol.2017.09.015 ↗
19. The practical effects of friction for tuned mass dampers installed in tall buildings10.1016/j.engstruct.2022.114495 ↗
20. Evaluation of a pendulum pounding tuned mass damper for seismic control of structures10.1016/j.engstruct.2020.111554 ↗
21. Adaptive Flüssigkeitstilger für Vertikalschwingungen von Ingenieurstrukturen, Teil 2—Feldversuche10.1002/stab.200810022 ↗
22. Semi-aktiver Flüssigkeitssäulendämpfer zur Reduktion lateraler Schwingungen von Hochbauten10.37544/0005-6650-2018-10-40 ↗
23. Smart structures: Part I—Active and semi-active control
24. Tragstruktur und Installation der Offshore-Windenergieanlage REpower 5M in 45m Wassertiefe10.1002/stab.200710069 ↗
25. Tuned rolling-ball dampers for vibration control in wind turbines10.1016/j.jsv.2013.05.019 ↗
26. Vibration Control Performance Analysis and Shake-Table Test of a Pounding Tuned Rotary Mass Damper under the Earthquake10.1155/2019/4038657 ↗
27. Efficiency of vibrational energy dissipation by tuned rolling-cylinder dampers10.1016/j.jsv.2019.114977 ↗
28. Structural control of a fixed offshore structure using a new developed tuned liquid column ball gas damper (TLCBGD)10.1016/j.oceaneng.2019.106551 ↗
29. Material optimization of tuned liquid column ball damper (TLCBD) for the vibration control of multi-storey structure using various liquid and ball densities10.1016/j.jobe.2020.101742 ↗
30. Experimentelle Untersuchung eines passiven Festkörperschwingungsdämpfers für Ingenieurkonstruktionen10.1002/bate.202000063 ↗
31. Ziegler, F. (1998). Mechanics of Solids and Fluids, Springer. [2nd ed.].
32. Magnus, K. (1961). Schwingungen, Teubner. (In German).10.1007/978-3-663-10702-6 ↗
33. Optimal absorber parameters for various combinations of response and excitation parameters10.1002/eqe.4290100304 ↗
34. Extending Den Hartog’s Vibration Absorber Technique to Multi-Degree-of-Freedom Systems10.1115/1.1924642 ↗
35. Pocanschi, A., and Phocas, M. (2003). Kräfte in Bewegung: Die Techniken des Erdbebensicheren Bauens, Vieweg. (In German).10.1007/978-3-322-80049-7 ↗
36. Merkin, D.R. (1997). Introduction to the Theory of Stability, Springer.10.1007/978-1-4612-4046-4 ↗
37. Wittenburg, J. (1996). Schwingungslehre, Lineare Schwingungen, Theorie und Anwendung, Springer.10.1007/978-3-642-58286-8 ↗
38. Klotter, K. (1978). Technische Schwingungslehre, Erster Band: Einfache Schwinger, Springer. (In German).10.1007/978-3-662-40340-2 ↗
39. Bogoljubow, N.N., and Mitropolsky, Y.A. (1961). Asymptotic Methods in the Theory of Non-Linear Oscillations, CRC Press.
40. Lösung der inhomogenen Mathieu’schen Differentialgleichung mit periodischen Störfunktionen beliebiger Frequenz (mit besonderer Berücksichtigung der Resonanzlösung)10.1002/zamm.19430230405 ↗
41. Nayfeh, A.H., and Mook, D.T. (1979). Nonlinear Oscillations, Wiley&Sons.
42. Gasch, R., Knothe, K., and Liebich, R. (2012). Strukturdynamik, Diskrete Systeme und Kontinua, Springer. (In German).10.1007/978-3-540-88977-9 ↗
43. Kari, H., Reiterer, M., and Vospernig, M. (2016, January 14–15). Analyse der personeninduzierten Schwingungen der Geh- und Radwegbrücke Puch bei Villach. Proceedings of the Tagungsband 16. Symposiums Brückenbau 1/2-2016, Leipzig, Germany. (In German).
44. (2023, May 20). European Communities; Contract No RFS-CT-2007-000333. HIVOSS: Human-Induced Vibrations of Steel Structures—Design of Footbridges; 2008. Available online: https://www.stahlbau.stb.rwth-aachen.de/projekte/2007/HIVOSS/download.php.