Modares Mechanical Engineering

Modares Mechanical Engineering

Passive control of acoustic wave transmitted through a doubly curved shell by piezoelectric material

Authors
Department of Mechanical Engineering, Iran University of science and technology, Tehran, Iran
Abstract
In this work, transmitted sound power control through a doubly curved laminated shell by the aid of RL-shunt is investigated. Therefore, vibration equations of a doubly curved shell with piezoelectric layers are firstly derived utilizing Hamilton’s principle. Then, the obtained equations are verified considering the results reported by other researchers. In addition, by applying a shunt circuit, which is parallel to the piezoelectric layer, the effect of resonant shunt method in passive control of the sound transmission loss of the shell is explored. It is indicated that with applying the shunt circuit, and then tuning the circuit with the resonance frequency, the amplitude of sound transmission loss has been significantly reduced. In next step, by applying three shunt circuits, parallel with one piezoelectric layer, it is found that passive control of this doubly curved structure can decrease the sound transmitted in resonant frequency. Finally, performance of these circuits is improved by using genetic algorithm to optimize RL-shunt circuit parameters. As a prominent result, it is shown that this method has an excellent effect on improvement of sound transmission loss up to 80dB.
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[1] A. Loghmani, M. Danesh, M. Keshmiri, M. M. Savadi, Theoretical and experimental study of active vibration control of a cylindrical shell using piezoelectric disks, Journal of Low Frequency Noise, Vibration and Active Control, Vol. 34, No. 3, pp. 269-287, 2015.
[2] J. He, X. Chen, Integrated topology optimization of structure/vibration control for piezoelectric cylindrical shell based on the genetic algorithm, Shock and Vibration, Vol. 2015, 2015.
[3] Z. Song, L. Zhang, K. Liew, Active vibration control of CNT-reinforced composite cylindrical shells via piezoelectric patches, Composite Structures, Vol. 158, pp. 92-100, 2016.
[4] M. Abid, M. Abbes, J. Chazot, L. Hammemi, M. Hamdi, M. Haddar, Acoustic response of a multilayer panel with viscoelastic material, International Journal of Acoustics and Vibration, Vol. 17, No. 2, pp. 82, 2012.
[5] F. X. Xin, T. J. Lu, Analytical modeling of sound transmission across finite aeroelastic panels in convicted fluids, J Acoust Soc Am, Vol. 128, No. 3, pp. 1097-107, Sep, 2010.
[6] H. Yue, Y. Lu, Z. Deng, H. Tzou, Experiments on vibration control of a piezoelectric laminated paraboloidal shell, Mechanical Systems and Signal Processing, Vol. 82, pp. 279-295, 2017.
[7] F. A. C. Viana, V. Steffen Jr, Multimodal vibration damping through piezoelectric patches and optimal resonant shunt circuits, Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 28, No. 3, pp. 293-310, 2006.
[8] N. W. Hagood, A. von Flotow, Damping of structural vibrations with piezoelectric materials and passive electrical networks, Journal of Sound and Vibration, Vol. 146, No. 2, pp. 243-268, 1991.
[9] K. Yamada, H. Matsuhisa, H. Utsuno, K. Sawada, Optimum tuning of series and parallel LR circuits for passive vibration suppression using piezoelectric elements, Journal of sound and vibration, Vol. 329, No. 24, pp. 5036-5057, 2010.
[10] J. J. Hollkamp, Multimodal passive vibration suppression with piezoelectric materials and resonant shunts, Journal of intelligent material systems and structures, Vol. 5, No. 1, pp. 49-57, 1994.
[11] D. Niederberger, A. Fleming, S. R. Moheimani, M. Morari, Adaptive multi-mode resonant piezoelectric shunt damping, Smart Materials and Structures, Vol. 13, No. 5, pp. 1025, 2004.
[12] E. Carrera, S. Brischetto, P. Nali, Plates and shells for smart structures: classical and advanced theories for modeling and analysis: John Wiley & Sons, 2011.
[13] M. S. Howe, Acoustics of fluid-structure interactions: Cambridge university press, 1998.
[14] P. M. Morse, K. U. Ingard, Theoretical acoustics: Princeton university press, 1968.
[15] J. Zhou, A. Bhaskar, X. Zhang, Sound transmission through a double-panel construction lined with poroelastic material in the presence of mean flow, Journal of Sound and Vibration, Vol. 332, No. 16, pp. 3724-3734, 2013.
[16] R. Talebitooti, M. Zarastvand, H. Gohari, Investigation of power transmission across laminated composite doubly curved shell in the presence of external flow considering shear deformation shallow shell theory, Journal of Vibration and Control, pp. impress1077546317727655, 2017.