The paper deals with attenuation of transversal vibrations of a clamped-clamped beam loaded by a rigid mass at beam mid-point and excited by vertical force acting at beam mid-point. The novelty of treated approach is the use of a ferromagnetic conductor as the principal damping device. This is a different approach from that one used in contemporary research papers. Beyond vibration attenuation a concurrent shift in damped natural frequency due to the negative stiffness is observable. The theoretical results are complemented by measurements on a test stand. Up to 10 dB attenuation of the most marked resonance peak and frequency shift by up to 5 % to lower frequency was observed.
BaeJ-SHwangJ-HParkJ-SKwagD-G (2010) Modelling and experiments on eddy current damping caused by a permanent magnet in a conductive tube. Journal of Mechanical Science and Technology23: 3024–3035.
2.
BaeJ-SHwangJ-HRohJ-HKimJ-HYiM-SLimJ-H (2012) Vibration suppression of a cantilever beam using magnetically tuned-mass-damper. Journal of Sound and Vibration331: 5669–5684.
3.
Bae J-S, Hwang J-H, Kwag D-G, Park J and Inman DJ (2014) Vibration Suppression of a Large Beam Structure Using Tuned Mass Damper and Eddy Current Damping. Shock and Vibration. Article ID 893914, p.10.
4.
CorsonDRLorrainP (1962) Introduction to electromagnetic fields and waves, San Francisco: W.H. Freeman and Co.
5.
DengHWZhaoYJLiangCJJiangWSNingYM (2009) Effective skin depth for multilayer coated conductor. Progress In Electromagnetics Research M9: 1–8.
6.
EbrahimiBKhameseeMBGolnaraghiMF (2008) Design and modelling of a magnetic shock absorber based on eddy current damping effect. Journal of Sound and Vibration315: 875–889.
7.
Ebrahimi B, Khamesee MB and Golnaraghi MF (2009) Eddy current damper feasibility in automobile suspension: modeling, simulation and testing. Smart Materials and Structures 18: Paper No. 015017, p. 12.
Harris CM and Crede CE (eds) (1964) Shock and Vibration Handbook. Vol. 1. New Jersey: McGraw-Hill.
10.
LagariasJCReedsJAWrightMHWrightPE (1988) Convergence properties of the Nelder-Mead simplex method in low dimensions. SIAM Journal of Optimization9: 112–147.
11.
LammeranderJŠtaflM (1964) Eddy currents (in Czech), Prague: SNTL.
12.
LowKHLimTMChaiGB (1993) Experimental ad Analytical Investigations of Vibration Frequencies for Centre-Loaded Beams. Computers and Structues48: 1157–l162.
13.
MayerDUlrychB (2009) Electromagnetic actuators (in Czech), Prague: BEN.
14.
Matlab Version 6 (2004) The MathWorks, Inc., Natick, MA, USA.
15.
PaulPChetanIBishakhB (2014) Design of a vibration isolation system using eddy current damper. Proc. Inst. Mech. Eng. C – J. of Mechanical Science228: 664–675.
16.
PreumontA (2011) Vibration Control of Active Structures, 3rd ed. Berlin: Springer.
17.
SodanoHABaeJ-S (2004) Eddy current damping in structures. The Shock and Vibration Digest36: 468–479.
18.
Sodano HA (2005) Development of novel eddy current dampers for the suppression of structural vibrations. PhD Thesis, Virginia Polytechnic Institute and State University, USA.
19.
SodanoHABaeJ-SInmanDJBelvinWK (2005) Concept and model of eddy current damper for vibration suppression of a beam. Journal of Sound and Vibration288: 1177–1196.
20.
Stein GJ, Darula R and Sorokin S (2011) Control of transversal vibrations of a clamped-clamped beam by a permanent magnet and a shunt circuit. In: EURODYN 2011: Proceedings of the 8th international conference on Structural Dynamics. Leuven, Belgium, 4–6 July 2011, pp. 1735–1741. Leuven, Belgium: KUL.
21.
Stein GJ, Darula R and Sorokin S (2012) Control of forced vibrations of mechanical structures by an electromagnetic controller with a permanent magnet. In: Proceedings of International Conference on Noise and Vibration Engineering ISMA 2012, Leuven, Belgium, 17–19 Sept 2012, pp. 385–393. Leuven, Belgium: KUL.
22.
SteinGJChmúrnyR (2013) Damping of Machine Frame Vibrations by an Electro-magnetic Actuator. In: BrezinaTMagaDStefekA (eds) Mechatronics 2013: Recent Technological and Scientific Advances, Brno, Czech Republic, Heidelberg: Springer, pp. 151–160.
23.
SteinGJChmúrnyR (2016) Natural Frequencies of Classical Clamped-clamped Beam with a Concentrated Load at its Mid-point. Asian Journal of Mathematics and Computer Research8: 69–81.
24.
SteinGJTobolkaPChmúrnyR (2016) Preliminary investigations of machine frame vibration damping using eddy current principle. Applied Mechanics and Materials821: 288–294.
25.
StrattonJA (2007) Electromagnetic Theory, New Jersey: Wiley-Interscience.
26.
Weise K, Ziolkowski M, Carlstedt M, Brauer H and Toepfer H (2015) Oscillatory Motion of Permanent Magnets Above a Conducting Slab. IEEE Transactions on Magnetics 51: Paper No. 7209113.
