Optimal control of transverse vibration of Euler-Bernoulli beam with multiple dynamic vibration absorbers using Taguchi's method
Keywords:beam structures, dynamic vibration absorber, Taguchi's method, harmonic excitation, passive vibration control
Vibration absorbers are frequently used to suppress the excessive vibrations in structural systems. In this paper, an imposing nodes technique is applied for vibration suppression of Euler-Bernoulli beams subjected to forced harmonic excitations by means of multiple dynamic vibration absorbers. A procedure based on Taguchi's method is proposed to determine the optimum absorber parameters to suppress the vibration amplitude of the beams. Numerical tests are performed to show the effectiveness of the proposed procedure.
D. J. Inman. Engineering vibration. Prentice-Hall, Inc., New Jersey, (2001).
P. Hagedorn and A. DasGupta. Vibrations and waves in continuous mechanical systems. John Wiley & Sons, (2007).
D. Hartog. Mechanical vibrations. McGraw-Hill, New York, (1956).
B. G. Korenev and L. M. Reznikov. Dynamic vibration absorbers: theory and technical applications. JohnWiley & Sons, (1993).
R. G. Jacquot. Optimal dynamic vibration absorbers for general beam systems. Journal of Sound and Vibration, 60, (4), (1978), pp. 535–542. https://doi.org/10.1016/s0022-460x(78)80090-x. https://doi.org/10.1016/s0022-460x(78)80090-x.">
H. N. Ozguven and B. Candir. Suppressing the first and second resonances of beams by dynamic vibration absorbers. Journal of Sound and Vibration, 111, (3), (1986), pp. 377–390. https://doi.org/10.1016/s0022-460x(86)81399-2. https://doi.org/10.1016/s0022-460x(86)81399-2.">
Y. H. Lin and C. H. Cho. Vibration suppression of beam structures traversed by multiple moving loads using a damped absorber. Journal of Marine Science and Technology, 1, (1), (1993), pp. 39–48.
M. Ouled Chtiba, S. Choura, S. El-Borgi, and A. H. Nayfeh. Confinement of vibrations in flexible structures using supplementary absorbers: dynamic optimization. Journal of Vibration and Control, 16, (3), (2010), pp. 357–376. https://doi.org/10.1177/1077546309103423. https://doi.org/10.1177/1077546309103423.">
N. Carpineto, W. Lacarbonara, and F. Vestroni. Mitigation of pedestrian-induced vibrations in suspension footbridges via multiple tuned mass dampers. Journal of Vibration and Control, 16, (5), (2010), pp. 749–776. https://doi.org/10.1177/1077546309350188. https://doi.org/10.1177/1077546309350188.">
B. Noori and A. Farshidianfar. Optimum design of dynamic vibration absorbers for a beam, based on H∞ and H2 optimization. Archive of Applied Mechanics, 83, (12), (2013), pp. 1773–1787. https://doi.org/10.1007/s00419-013-0777-y. https://doi.org/10.1007/s00419-013-0777-y.">
F. S. Samani, F. Pellicano, and A. Masoumi. Performances of dynamic vibration absorbers for beams subjected to moving loads. Nonlinear Dynamics, 73, (1-2), (2013), pp. 1065–1079. https://doi.org/10.1007/s11071-013-0853-4. https://doi.org/10.1007/s11071-013-0853-4.">
S. S. Patil and P. J. Awasare. Vibration reduction at desired locations on a beam by creating nodes using tunable vibration neutralizers. Journal of Vibration and Control, 22, (1), (2016), pp. 205–223. https://doi.org/10.1177/1077546314528964. https://doi.org/10.1177/1077546314528964.">
W. Łatas. Optimal positions of tunable translational and rotational dynamic absorbers in global vibration control in beams. Journal of Theoretical and Applied Mechanics, 53, (2), (2015), pp. 467–476. https://doi.org/10.15632/jtam-pl.53.2.467. https://doi.org/10.15632/jtam-pl.53.2.467.">
W. Łatas. Application of the continuous dynamic absorbers in local and global vibration reduction problems in beams. Vibrations in Physical Systems, 27, (2016), pp. 245–254.
G. Taguchi, S. Chowdhury, and Y. Wu. Taguchi’s quality engineering handbook. John Wiley & Sons, New Jersey, (2005).
R. K. Roy. A primer on the Taguchi method. Society of Manufacturing Engineers, Michigan, (1990).
B. Klein. Versuchsplanung-DoE: Einfuhrung in die Taguchi/Shainin-Methodik. Oldenbourg Verlag, Munchen, (2011).
R. A. Zambanini. The application of Taguchi’s method of parameter design to the design of mechanical systems. Master’s thesis, Lehigh University, (1992).
C. Zang, M. I. Friswell, and J. E. Mottershead. A review of robust optimal design and its application in dynamics. Computers & Structures, 83, (4-5), (2005), pp. 315–326. https://doi.org/10.1016/j.compstruc.2004.10.007. https://doi.org/10.1016/j.compstruc.2004.10.007.">
K. Dehnad. Quality control, robust design, and the Taguchi method. Pacific Grove, California, (1989).
N. T. Hung and P. X. Son. Experimental design in mechanical engineering. Construction Publishing House, Hanoi, (2016). (in Vietnamese).
N. V. Khang, V. D. Phuc, D. T. Duong, and N. T. V. Huong. A procedure for optimal design of a dynamic vibration absorber installed in the damped primary system based on Taguchi’s method. Vietnam Journal of Science and Technology, (2018). (Accepted).
E. Pennestri. An application of Chebyshev’s min–max criterion to the optimal design of a damped dynamic vibration absorber. Journal of Sound and Vibration, 217, (4), (1998), pp. 757–765. https://doi.org/10.1006/jsvi.1998.1805. https://doi.org/10.1006/jsvi.1998.1805.">
K. Liu and G. Coppola. Optimal design of damped dynamic vibration absorber for damped primary systems. Transactions of the Canadian Society for Mechanical Engineering, 34, (1), (2010), pp. 119–135. https://doi.org/10.1139/tcsme-2010-0008. https://doi.org/10.1139/tcsme-2010-0008.">
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