Effect of Important Physical and Geometrical Parameters on the Dynamic Response of Thick Composite Plates with Smart Attached Mass

Subject Areas : dynamics

Ali  Pourmoayed ¹ (Department of Mechanical Engineering, University of Khatamul-Anbiya Air Defense, Iran)
keramat  Malekzadeh Fard ² (Department of Structural Analysis and Simulation, Aerospace research institute, University of MalekAshtar, Iran)
naser  zolghadr ³ (Department of Structural Analysis and Simulation, Aerospace research institute, University of MalekAshtar, Iran)

Received: 2019-09-09 Accepted : 2019-12-09 Published : 2019-12-09

Keywords: Plate, Mode Shape, Attached Mass, Higher-Order Theory, Free vibrations, Shape Memory Composites,

Abstract :

In this research, the effect of different structural parameters on the dynamic behaviour of a thick plate with a smart attached mass, which is a mass embedded with the Shape Memory Alloy (SMA) fibers were investigated. The results showed that the inherent stiffness of the smart attached mass and the localized stiffness due to the effect of SMA fibers both play a significant role in the dynamic behaviour of the plate, and ignoring either of these parameters results in a considerable change in the system responses. The size and position of the smart attached mass were also found to be of particular importance, since the effect of the weight of SMA and attached mass and the forces induced by SMA transformation all have significant and sometimes conflicting effects on the system vibrations. The results also showed that the changes in the system parameters, and particularly the characteristics of the SMA fibers such as activation temperature, pre-strain, and volume fraction, result in the appearance of dynamic responses that cannot be neglected.

References:

[1]     Yang, P. C., Norris, C. H., and Stavsky, Y., Elastic Wave Propagation in Heterogeneous Plates, International Journal of Solids and Structures, Vol. 2, No. 4, 1966, pp. 665-684.

[2]     Kant, T., Owen, D. R. J., and Zienkiewicz, O. C., A Refined Higher Order C0 Plate Bending Element, Computers & Structures, Vol. 15, No. 2, 1982, pp. 177–183.

[3]     Reddy, J. N., A Simple Higher-order Theory for Laminated Composites, ASME Journal of Applied Mechanics, Vol. 51, No. 4, 1984, pp. 745–752.

[4]     Reddy, J. N., Phan, N. D., Stability and Vibration of Isotropic, Orthotropic and Laminated Plates According to a Higher-order Shear Deformation Theory, Journal of Sound and Vibration, Vol. 98, No. 2, 1985, pp. 157–170.

[5]     Khdeir, A. A., Free Vibration and Buckling of Symmetric Cross-ply Laminated Plates by an Exact Method, Journal of Sound and Vibration, Vol. 126, No. 3, 1988, pp. 447–461.

[6]     Khdeir, A. A., Free Vibration and Buckling of Unsymmetric Cross-ply Laminated Plates Using a Refined Theory, Journal of Sound and Vibration, Vol. 128, No. 3, 1989, pp. 377–395.

[7]     Qatu, M. S., Recent Research Advances in the Dynamic Behavior of Shells:1989–2000, Part 1: Laminated Composite Shells, Applied Mechanics Reviews, Vol. 55, No. 4, 2002, pp. 325-350.

[8]     Qatu, M. S., Recent Research Advances in the Dynamic Behavior of Shells:1989–2000, Part 2: Homogeneous Shells, Applied Mechanics Reviews, Vol. 55, No. 5, 2002, pp. 415–434.

[9]     Garg, A. K., Khare, R. K., and Kant, T., Higher-order Closed-form Solutions for Free Vibration of Laminated Composite and Sandwich Shells, Sandwich Structures and Materials, Vol. 8, No. 3, 2006, pp. 205-235.

[10]  Gorman D. J, Singal R. K., Analytical and Experimental Study of Vibrating Rectangular Plates On Rigid Point Supports, AIAA Journal, Vol. 29, No. 5, 1991, pp. 838-844.

[11]  Rossi, R. E., A. Laura, P. A., Symmetric and Antisymmetric Normal Modes of a Cantilever Rectangular Plate: Effect of Poisson's Ratio and A Concentrated Mass, Journal of Sound and Vibration, Vol. 195, No. 1, 1996, pp. 142-148.

[12]  Kopmaz, O., Telli, S., Free Vibration of a Rectangular Plate Carrying Distributed Mass, Journal of Sound Vibration, Vol. 25, No. 1, 2002, pp. 39–57.

[13]  Wong, W. O., The Effect of Distributed Mass Loading On Plate Vibration Behaviour, Journal of Sound and Vibration, Vol. 252, No. 3, 2002, pp. 577-583.

[14]  Alibeiglooa, A., Shakeri, M., Kari, and M. R., Free Vibration Analysis of Antisymmetric Laminated Rectangular Plates with Distributed Patch Mass Using Third-Order Shear Deformation Theory, Ocean Engineering, Vol. 35, No. 2, 2008, pp. 183-190.

[15]  Malekzadeh, K., Tafazoli, S., and Khalili, S. M. R., Free Vibrations of Thick Rectangular Composite Plate with Uniformly Distributed Attached Mass Including Stiffness Effect, Journal of Composite Materials, Vol. 44, No. 24, 2010, pp. 2897-2918.

[16]  Ostachowicz, W., krawczuk, M., and Zak, A., Dynamic and Buckling of a Multilayer Composite Plate with Embedded SMA Wires, Composite structures, Vol. 48, No. 1-3, 2000, pp. 163-167.

[17]  Lau, K. T., Zhou, L. M., and Tao, X. M., Control of Natural Frequencies of a Clamped-Clamped Composite Beam with Embedded Shape Memory Alloy Wires, Composite Structures, Vol. 58, No. 1, 2002, pp. 39-47.

[18]  Mozafari, A., Malekzade, K., Ahmadi, M., and Azarnia, A. H., Analyze of Free Vibration of Composite Plate with Embedded Shape Memory Alloy, in ISME16, Kerman, 2008.

[19]  Zhang, R. X., Ni, Q. Q., Masuda, A., Yamamura, T., and Iwamoto, M., Vibration Characteristics of Laminated Composite Plates with Embedded Shape Memory Alloys, Composite Structures, Vol. 74, No. 4, 2006, pp. 389-398.

[20]  Park, J. S., Kim, J. H., and Moon, S. H., Vibration of Thermally Post-Buckled Composite Plates Embedded with Shape Memory Alloy Fibers, Composite Structures, Vol. 63, No. 2, 2004, pp. 179–188.

[21]  Ni, Q. Q., Zhang, R. X., Natsuki, T., and Iwamoto, M., Stiffness and Vibration Characteristics of SMA/Er3 Composites with Shap Memory Alloy Short Fibers, Composite Structures, Vol. 79, No. 4, 2007, pp. 501-–507.

[22]  Zhang, Y., Zhao, Y. P., A Study of Composite Beam with Shape Memory Alloy Arbitrarily Embedded Under Thermal and Mechanical Loadings, Materials and Design, Vol. 28, No. 4, 2007, pp. 1096-1115.

[23]  John, S., Hariri, M., Effect of Shape Memory Alloy Actuation On the Dynamic Respons of Polymeric Composite Plates, Composites Part A: Applied Science and Manufacturing, Vol. 39, No. 5, 2008, pp. 769-776.

[24]  Shokuhfar, A., Khalili, S. M. R., Ashenai Ghasemi, F., Malekzadeh, K., and Raissi, S., Analysis and Optimization of Smart Hybrid Composite Plates Subjected to Low-Velocity Impact Using the Response Surface Methodology (RSM), Thin-Walled Structures, Vol. 46, No. 11, 2008, pp. 1204-1212.

[25]  Ibrahim, H. H., Yoo, H. H., and Lee, K. S., Aero-Termo-Mechanical Characteristics of Imperfact Shap Memory Alloy Hybrid Composite Panels, Journal o Sound and Vibration, Vol. 325, No. 3, 2009, pp. 583-596.

[26]  Kuo, S. Y., Shiau, L. C., and Chen, K. H., Buckling Analysis of Shape Memory Alloy Reinforced Composite Laminates, Composite Structures, Vol. 90, No. 2, 2009, pp. 188-195.

[27]  Malekzadeha, K., Mozafari, A., and Ashenai Ghasemi, F., Free Vibration Response of a Multilayer Smart Hybrid Composite Plate with Embedded SMA Wires, Solids and Structures, Vol. 11, No. 2, 2014, pp. 279 - 298.

[28]  Sadd, M. H., Elasticity: Theory and Applications, Second Edition, 1993.

[29]  Reddy, J. N., Mechanics of Laminated Composite Plates and Shells, 2nd Edition, CRC Press, 2004.