Strange Effects of Strong High-Frequency Excitation


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Materials Science Forum (Volumes 440-441)

Edited by:

M.P. Cartmell




J. J. Thomsen "Strange Effects of Strong High-Frequency Excitation ", Materials Science Forum, Vols. 440-441, pp. 3-10, 2003

Online since:

November 2003





[1] A. Stephenson: On induced stability. Philosophical Magazine Vol. 15 (1908), pp.233-236.

[2] I.I. Blekhman: Vibrational Mechanics - Nonlinear Dynamic Effects, General Approach, Applications (World Scientific, Singapore, 2000) Fig. 4. Chelomei's pendulum.

[3] J.S. Jensen: Non-trivial effects of fast harmonic excitation (Ph.D. Thesis, Department of Solid Mechanics, Technical University of Denmark. DCAMM Report S83, 1999).

[4] A. Fidlin: On the Oscillations in Discontinuous and Unconventionally Strong Excited Systems: Asymptotic Approaches and Dynamic Effects (Doctoral dissertation, University of Karlsruhe, Dept. of Mechanical Engineering, 2002).

[5] J.J. Thomsen: Dynamic Effects of Nonlinearity and Fast Vibrations: Stiffening, Biasing, Smoothening, Chaos (Doctoral dissertation, Technical University of Denmark, 2003).

[6] I.I. Blekhman (ed. ): Selected Topics in Vibrational Mechanics (World Scientific, in print, 2003).

[7] M.M. Michaelis: Stroboscopic analysis of the inverted pendulum. American Journal of Physics Vol. 53, No. 11 (1985), pp.1079-1083.

[8] J.J. Thomsen: Some general effects of strong high-frequency excitation: stiffening, biasing, and smoothening. Journal of Sound and Vibration Vol. 253, No. 4 (2002), pp.807-831.

DOI: 10.1006/jsvi.2001.4036

[9] J.J. Thomsen: Vibration-induced displacement using high-frequency resonators and friction layers. In E. Lavendelis and M. Zakrzhevsky (eds. ), Klüwer series: Solid Mechanics and its Applications, Vol. 37 (Klüwer, Dordrecht, 2000), pp.237-246.

DOI: 10.1007/978-94-011-4229-8_25

[10] A. Fidlin and J.J. Thomsen: Predicting vibration-induced displacement for a resonant friction slider. European Journal of Mechanics A/Solids Vol. 20, No. 1 (2001), pp.155-166.

DOI: 10.1016/s0997-7538(00)01134-7

[11] D. Tcherniak and J.J. Thomsen: Slow effects of fast harmonic excitation for elastic structures. Nonlinear Dynamics Vol. 17, No. 3 (1998), pp.227-246.

[12] J.S. Jensen: Fluid transport due to nonlinear fluid-structure Interaction. Journal of Fluids and Structures Vol. 11 (1997), pp.327-344.

DOI: 10.1006/jfls.1996.0080

[13] J.S. Jensen: Transport of continuous material in vibrating pipes. In Proceedings of the Euromech 2nd European Nonlinear Oscillation Conference (Czech Technical University, Prague, 1996), Vol. 1, pp.211-214.

[14] V.I. Babitsky and A.M. Veprik: Damping of beam forced vibration by a moving washer. Journal of Sound and Vibration Vol. 166, No. 1 (1993), pp.77-85.

DOI: 10.1006/jsvi.1993.1284

[15] J.J. Thomsen: Vibration suppression by using self-arranging mass: effects of adding restoring force. Journal of Sound and Vibration Vol. 197, No. 4 (1996), pp.403-425.

DOI: 10.1006/jsvi.1996.0540

[16] J.J. Thomsen: Vibration induced sliding of mass: non-trivial effects of rotatory inertia. In Proceedings of the Euromech 2nd European Nonlinear Oscillation Conference (Czech Technical University, Prague, 1996), Vol. 1, pp.455-458.

[17] E.C. Miranda and J.J. Thomsen: Vibration induced sliding: theory and experiment for a beam with a spring-loaded mass. Nonlinear Dynamics Vol. 16, No. 2 (1998), pp.167-186.

[18] V.N. Chelomei: Mechanical paradoxes caused by vibrations. Soviet Physics Doklady Vol. 28, No. 5 (1983), pp.387-390.

[19] I.I. Blekhman and O.Z. Malakhova: Quasi-equilibrium positions of the Chelomei pendulum. Soviet Physics Doklady Vol. 31, No. 3 (1986), pp.229-231.

[20] J.J. Thomsen and D.M. Tcherniak: Chelomei's pendulum explained. Proceedings of the Royal Society of London A Vol. 457, No. 2012 (2001), p.1889-(1913).

[21] J.S. Jensen: Non-linear dynamics of the follower-loaded double pendulum with added supportexcitation. Journal of Sound and Vibration Vol. 215, No. 1 (1998), pp.125-142.

DOI: 10.1006/jsvi.1998.1620

[22] J.S. Jensen: Articulated pipes conveying fluid pulsating with high frequency. Nonlinear Dynamics Vol. 19, No. 2 (1999), pp.173-193.

[23] J.S. Jensen: Buckling of an elastic beam with added high-frequency excitation. International Journal of Non-Linear Mechanics Vol. 35, No. 2 (2000), pp.217-227.

DOI: 10.1016/s0020-7462(99)00010-4

[24] J.S. Jensen, D.M. Tcherniak, and J.J. Thomsen: Stiffening effects of high-frequency excitation: experiments for an axially loaded beam. ASME Journal of Applied Mechanics Vol. 67, No. 2 (2000), pp.397-402.

DOI: 10.1115/1.1304824

[25] J.J. Thomsen: Using fast vibrations to quench friction-induced oscillations. Journal of Sound and Vibration Vol. 228, No. 5 (1999), pp.1079-1102.

DOI: 10.1006/jsvi.1999.2460

[26] S. Chatterjee, T.K. Singha, and S.K. Karmakar: Effects of high-frequency excitation on a class of mechanical systems with dynamic friction. Journal of Sound and Vibration (accepted for publication, 2003).

DOI: 10.1016/s0022-460x(03)00004-x

[27] B.F. Feeny and F.C. Moon: Quenching stick-slip chaos with dither. Journal of Sound and Vibration Vol. 237, No. 1 (2000), pp.173-180.

DOI: 10.1006/jsvi.2000.3007

[28] J.J. Thomsen: Theories and experiments on the stiffening effect of high-frequency excitation for continuous elastic systems. Journal of Sound and Vibration Vol. 260, No. 1 (2003), pp.117-139.

DOI: 10.1016/s0022-460x(02)00916-1

[29] M.H. Hansen: Effect of high-frequency excitation on natural frequencies of spinning disks. Journal of Sound and Vibration Vol. 234, No. 4 (2000), pp.577-589.

DOI: 10.1006/jsvi.1999.2796

[30] T. Mullin, A. Champneys, W.B. Fraser, J. Galan, and D. Acheson: The Indian wire trick, via parametric excitation: a comparison between theory and experiment. Proceedings of the Royal Society of London A Vol. 459, No. 2031 (2003), pp.539-546.

DOI: 10.1098/rspa.2002.1056

[31] D. Acheson: From Calculus to Chaos: An Introduction to Dynamics (Oxford University Press, 1997).

[32] J.J. Thomsen: Vibrations and Stability: Advanced Theory, Analysis, and Tools (Springer, in print 2003).

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