Abstract
This article describes the results of an investigation concerning the power absorbed at mechanical resonance for a single degree of freedom vibration system. Regarding the experimental purposes, the article proposes a cantilever beam set-up actuated by a voice-coil actuator and a computer-aided power monitoring technique. The absorbed power is evaluated in a steady-state regime for different values of excitation frequency around the resonance (the first mode of vibration). The experimental results are afterwards compared to the theoretical predictions. In addition, some transient regimes generated by beat vibrations are explored. The negative absorbed power has been observed. The article proposes an active vibration damping technique, based on actuation with a negative modal power supply.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Benassi, L., and Elliot S.J., “The Equivalent Impedance of Power-Minimising Vibration Controllers on Plates,” Journal of Sound and Vibration, 283:47–67 (2005).
Mak, C.M., and Yun, Y., “A Study of Power Transmissibility for the Vibration Isolation of Coherent Vibratory Machines on the Floor of a Building,” A Study of Power Transmissibility for the Vibration Isolation of Coherent Vibratory Machines on the Floor of a Building 71(4):368–372 (2010).
Mandal, N.M., Rahman, A.R., and Salman Leong, M.S., “Experimental Investigation of Vibration Power Flow in Thin Technical Orthotropic Plates by the Method of Vibration Intensity,” Experimental Investigation of Vibration Power Flow in Thin Technical Orthotropic Plates by the Method of Vibration Intensity 285(3):669–695 (2005).
Renji, K., and Mahalakshmi, M., “High Frequency Vibration Energy Transfer in a System of Three Plates Connected at Discrete Points Using Statistical Energy Analysis,” High Frequency Vibration Energy Transfer in a System of Three Plates Connected at Discrete Points Using Statistical Energy Analysis 296(3):539–553 (2006).
Howard, C.Q., and Hansen, C.H., “Six-Axis Vibrational Power Transducer for Active Vibration Isolation,” Proceedings of ACOUSTICS 2005, 9–11 November 2005, Busselton, Western Australia (2005).
Xie, S., Siu, W.O., Chan, H.L.W., Choy, P.K., and Liu, P.C.K., “Analysis of Vibration Power Flow from a Vibrating Machinery to a Floating Elastic Panel,” Analysis of Vibration Power Flow from a Vibrating Machinery to a Floating Elastic Panel 21(1):389–404 (2007).
Glynne-Jones, P., Tudor, M.J., Beeby, S.P., and White N.M., “An Electromagnetic, Vibration-Powered Generator for Intelligent Sensor Systems,” Sensors and Actuators A: Physical 110(1–3):344–349 (2004).
Sari, I., Balkan, T., and Kulah, H., “An Electromagnetic Micro Power Generator for Wideband Environmental Vibrations,” Sensors and Actuators A: Physical 145–146:405–413 (2008).
Stephen, N.G., “On Energy Harvesting from Ambient Vibration,” Journal of Sound and Vibration 293(1–2):409–425 (2006).
Fujii, Y., Maru, K., and Jin, T., “Method for Evaluating the Electrical and Mechanical Characteristics of a Voice Coil Actuator,” Method for Evaluating the Electrical and Mechanical Characteristics of a Voice Coil Actuator 34(4):802–806 (2010).
Lewin, W., 8.03 Physics III: Vibrations and Waves, Fall 2004. Massachusetts Institute of Technology: MIT OpenCourseWare, URL http://ocw.mit.edu/courses/physics/8-03-physics-iii-vibrations-and-waves-fall-2004/video-lectures/embed04/ [accessed on 31 December 2009]. License: Creative Commons BY-NC-SA
Paulitsch, C., Gardonio, P., Elliott, S.J., Sas, P., and Boonen, R., “Design of a Lightweight, Electrodynamic, Inertial Actuator with Integrated Velocity Sensor for Active Vibration Control of a Thin Lightly-Damped Panel,” Proceedings of ISMA. ISMA 2004: International Conference on Noise and Vibration Engineering, Leuven, Belgium, ISMA Publications, pp. 239–254 (2004).
Thomas, M., and Laville, F., “Simulation des vibration mécaniques par Matlab, Simulink et Ansys,” Université du Québec, ISBN 978-2-9211-4562-6 (2007).
Sodano, A.H., Bae, J.S., Inman, D.J., and Belvin, K.V., “Improved Concept and Model of Eddy Current Damper, In: Transactions of ASME,” Improved Concept and Model of Eddy Current Damper, In: Transactions of ASME 128(3):294–302 (2006).
Ormondroyd, J., and den Hartog, J.P., “The Theory of the Dynamic Vibration Absorber,” Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 50(7):A9–A22 (1928).
Preumont, A., “Vibration Control of Active Structures: an Introduction,” 2nd Edition. Kluwer, the Netherlands (2002).
Abu Hanieh, A., Active Isolation and Damping of Vibrations via Stewart Platform, PhD thesis, Université Libre de Bruxelles (2003).
de Marneffe, B., Active and Passive Vibration Isolation and Damping via Shunted Transducers, PhD Thesis, Université Libre de Bruxelles (2007).
Wang, S., and Chung, D.D.L., “Apparent Negative Electrical Resistance in Carbon Fiber Composites,” Apparent Negative Electrical Resistance in Carbon Fiber Composites 30(6):579–590 (1999).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Horodinca, M., Seghedin, N.E., Carata, E. et al. Experimental investigations of the power absorbed at mechanical resonance. Exp Tech 37, 21–31 (2013). https://doi.org/10.1111/j.1747-1567.2011.00759.x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1111/j.1747-1567.2011.00759.x