All Title Author
Keywords Abstract

Finite Element Analysis and Vibration Control of a Deep Composite Cylindrical Shell Using MFC Actuators

DOI: 10.1155/2012/513271

Full-Text   Cite this paper   Add to My Lib


A four-node composite facet-shell element is developed, accounting for electromechanical coupling of Macrofiber Composite (MFC) and conventional PZT patches. Further a warping correction is included in order to capture correctly the induced strain of conformable MFC, surface bonded on a cylindrical shell. The element performance to model the relations between in-plane electric field to normal strains is examined with the help of experiment and ANSYS analysis. In ANSYS, a simple modeling scheme is proposed for MFC using a parallel capacitors concept. The independent modal space control technique has been revisited to address the control of combination resonances through a selective modal space control scheme, where two or more modes can be combined to form the vibrating system or plant in modal domain. The developed control schemes are implemented in a digital processor using DS1104 and the closed-loop vibration control experiments are conducted on a CFRP shell structure. The influence of directionally induced actuation of MFC actuators on elastic couplings of composite shell is studied theoretically and is subsequently demonstrated in experiments. MFC actuators provide the much needed optimization domain for achieving the vibration control of combination resonances of elastically coupled deep-shell structure. 1. Introduction Active control techniques are becoming more popular in recent years due to the emergence of a field called “Smart Materials and Structure.” Smart materials such as piezoelectric, shape memory alloys, and magnetostrictive have got multi functional behaviors, namely, actuation, sensing, and load carrying. Among these, the electromechanically coupled piezoelectric materials possess immense potentials because of its dynamic characteristics (wider frequency band, large force) and their availability in different forms (bar, patch, composite, stack, etc.). Piezoelectric patches and composites such as Macrofibre Composite (MFC), Active Fibre Composite (AFC) are increasingly considered as actuators by research communities to address various vibration control-related problems in recent years [1–7]. Shell structures are commonly adopted in aerospace vehicles [8]. The wing panels, fuselage outer skins, tail panels, and so forth are constructed with shell structural elements using aluminum and composite materials. Light weight aerospace, naval and civil engineering structures usually employ shell configurations to attain structural efficiencies such as improved stiffness, desired shape, optimal weight, and aeroelastic characteristics. Although


[1]  J. S. Bevan, “Piezoceramic actuator placement for acoustic control of panels,” NASA/CR-2001-211265, 2001.
[2]  A. Kovalovs, E. Barkanov, and S. Gluhihs, “Active control of structures using macro-fiber composite (MFC),” Journal of Physics: Conference Series, vol. 93, no. 1, Article ID 012034, 2007.
[3]  J. J. Ro, C. C. Chien, T. Y. Wei, and S. J. Sun, “Flexural vibration control of the circular handlebars of a bicycle by using MFC actuators,” Journal of Vibration and Control, vol. 13, no. 7, pp. 969–987, 2007.
[4]  S. Varadarajan, K. Chandrashekara, and S. Agarwal, “Adaptive shape control of laminated composite plates using piezoelectric materials,” AIAA Journal, pp. 197–205, 1996.
[5]  A. Benjeddou, M. A. Trindade, and R. Ohayon, “A unified beam finite element model for extension and shear piezoelectric actuation mechanisms,” Journal of Intelligent Material Systems and Structures, vol. 8, no. 12, pp. 1012–1025, 1997.
[6]  D. A. Saravanos, “Mixed laminate theory and finite element for smart piezoelectric composite shell structures,” AIAA Journal, vol. 35, no. 8, pp. 1327–1333, 1997.
[7]  S. Raja, T. Ikeda, and D. Dwarakanathan, “Deflection and vibration control of laminated plates using extension and shear actuated fiber composites,” Smart Materials Research, vol. 2011, Article ID 515942, 15 pages, 2011.
[8]  J. N. Reddy, “Exact solutions of moderately thick laminated shells,” Journal of Engineering Mechanics, vol. 110, no. 5, pp. 794–809, 1984.
[9]  V. Balamurugan and S. Narayanan, “Active vibration control of smart shells using distributed piezoelectric sensors and actuators,” Smart Materials and Structures, vol. 10, no. 2, pp. 173–180, 2001.
[10]  M. B. Xu and S. Gangbing, “Active vibration control of cylindrical shell using smart materials,” in Smart Structures and Materials: Smart Structures and Integrated Systems, vol. 4701 of Proceedings of SPIE, p. 518, San Diego, Calif, USA, 2002.
[11]  S. P. Singh, H. S. Pruthi, and V. P. Agarwal, “Efficient modal control strategies for active control of vibrations,” Journal of Sound and Vibration, vol. 262, no. 3, pp. 563–575, 2003.
[12]  R. L. Clark and C. R. Fuller, “Active control of structurally radiated sound from an enclosed finite cylinder,” in Proceedings of the Conference on Recent Advances in Active Control of Sound and Vibration, pp. 380–402, Virginia Polytechnic Institute and State University, Blacksburg, Va, USA, 1991.
[13]  V. R. Sonti and J. D. Jones, “Dynamic effects of piezoactuators on the cylindrical shell response,” AIAA Journal, vol. 34, no. 4, pp. 795–801, 1996.
[14]  M. Bernadou and C. Haenel, “Modelization and numerical approximation of piezoelectric thin shells Part II: approximation by finite element methods and numerical experiments,” Computer Methods in Applied Mechanics and Engineering, vol. 192, no. 37-38, pp. 4045–4073, 2003.
[15]  M. K. Kwak, S. Heo, and M. Jeong, “Dynamic modelling and active vibration controller design for a cylindrical shell equipped with piezoelectric sensors and actuators,” Journal of Sound and Vibration, vol. 321, no. 3-5, pp. 510–524, 2009.
[16]  T. Roy and D. Chakraborty, “Optimal vibration control of smart fiber reinforced composite shell structures using improved genetic algorithm,” Journal of Sound and Vibration, vol. 319, no. 1-2, pp. 15–40, 2009.
[17]  J. W. Sohn and S.-B. Choi, “Optimal placements of MFC actuators for vibration control of cylindrical shell structure,” Advances in Science and Technology, vol. 56, pp. 253–258, 2008.
[18]  M. S. Azzouz, C. Mei, J. S. Bevan, and R. J. Jong, “Finite element modeling of MFC/AFC actuators and performance of MFC,” Journal of Intelligent Material Systems and Structures, vol. 12, no. 9, pp. 601–612, 2001.
[19]  E. J. Ruggiero, G. Park, and D. J. Inman, “Multi-input multi-output vibration testing of an inflatable torus,” Mechanical Systems and Signal Processing, vol. 18, no. 5, pp. 1187–1201, 2004.
[20]  B. P. Naganarayana and G. Prathap, “Force and moment corrections for the warped four-node quadrilateral plane shell element,” Computers and Structures, vol. 33, no. 4, pp. 1107–1115, 1989.


comments powered by Disqus

Contact Us


微信:OALib Journal