Nonlinear Vibration of Three-Phase Composite Cylindrical Panels Utilizing Reddy’s Higher-Order Shear Deformation Shell Theory
Main Article Content
Abstract
This paper presents a comprehensive analytical framework to characterize the nonlinear vibration behavior of a three-phase composite. The cylindrical panels are supported by a Pasternak-type elastic foundation and subjected to combined thermal environment and mechanical loads. A sophisticated mathematical model is formulated basing on Reddy's higher-order theory to precisely capture the complex interactions between elastic foundation. The material properties of a three-phase composite are meticulously determined through analytical expressions that nonlinearly account for the interactions between the constituent materials. The volume fractions of the components in the magneto-electro-elastic face sheets are assumed to be equal. Analytical vibration solutions for the laminated plate are obtained by applying Galerkin method in conjunction with fourth-order Runge-Kutta method. Numerical results are provided to clarify the impact of geometric and material parameters, temperature increase, magnetic and electric potentials and elastic foundations on the vibration behavior of a three-phase composite.
Keywords:
Vibration; thermal environment; elastic foundations; three-phase composite; Reddy’s higher-order shear deformation shell theory.
References
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[19] N. D. Duc, H. Hadavinia, P. V. Thu, T. Q. Quan, Vibration and Nonlinear Dynamic Response of Imperfect Three-phase Polymer Nanocomposite Panel Resting on Elastic Foundations Under Hydrodynamic Loads, Composite Structures, Vol.131, 2015, pp. 229-238, https://doi.org/10.1016/j.compstruct.2015.05.009.
[20] J. N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, Boca Raton.
[21] M. A. A. Farsangi, A. R. Saidi, R. C. Batra, Analytical Solution for Free Vibrations of Moderately Thick Hybrid Piezoelectric Laminated Plates, Journal of Sound and Vibration, Vol. 332, No. 22, 2013, pp. 5981-5998 https://doi.org/10.1016/j.jsv.2013.05.010.
[22] S. Srinivas, C. V. Joga, A. K. Rao, An Exact Analysis for Vibration of Simplysupported Homogeneous and Laminated Thick Rectangular Plates, Journal of Sound and Vibration, Vol. 12, No. 2, 1970, pp. 187-199, https://doi.org/10.1016/0022-460X(70)90089-1.
[2] T. Liu, H. Y. Zheng, W. Zhang, Y. Zheng, Y. J. Qian, Nonlinear Forced Vibrations of Functionally Graded Three-phase Composite Cylindrical Shell Subjected to Aerodynamic Forces, External Excitations and Hygrothermal Environment, Thin-Walled Struct, Vol. 195, pp. 111511, https://doi.org/10.1016/j.tws.2023.111511.
[3] M. R. Ghovehoud, S. Sarrami, M. Azhari, M. A. Shahmohammadi, Dynamic Instability Analysis of Sandwich Plates with Auxetic Honeycomb Core and Three-phase Hybrid Composite Layers Stiffened by Curved Stiffeners Using Isogeometric Analysis, Engineering Structures, Vol. 308, 2024, pp. 117960, https://doi.org/10.1016/j.engstruct.2024.117960.
[4] N. D. Duc, D. K. Minh: Bending Analysis of Three-phase Polymer Composite Plates Reinforced by Glass Fibers and Titanium Oxide Particles, Computational Materials Science, Vol. 49, No. 4, 2010, pp. S194-S198, https://doi.org/10.1016/j.commatsci.2010.04.016.
[5] D. Q. Chan, T. Q. Quan, S. E. Kim, N. D. Duc, Nonlinear Dynamic Response and Vibration of Shear Deformable Piezoelectric Functionally Graded Truncated Conical Panel in Thermal Environments, European Journal of Mechanics - A/Solids, Vol. 77, 2019, pp. 103795, https://doi.org/10.1016/j.euromechsol.2019.103795.
[6] S. Zhang, L. Wang, Z. Zhao, H. Feng, C. Zhao, Two-dimensional Electromechanical-coupling Modeling for Out-of-plane Bending Vibration of Cross-type Beams, International Journal of Mechanical Sciences, Vol. 274, 2024, pp. 109273, https://doi.org/10.1016/j.ijmecsci.2024.109273.
[7] N. D. Duc, T. Q. Quan., N. D. Khoa, New Approach to Investigate Nonlinear Dynamic Response and Vibration of Imperfect Functionally Graded Carbon Nanotube Reinforced Composite Double Curved Shallow Shells Subjected to Blast Load and Temperature, Aerospace Science and Technology, Vol. 71, 2017, pp. 360-372, https://doi.org/10.1016/j.ast.2017.09.031.
[8] W. Chen, W. M. Luo, S. Y. Chen, L. X. Peng, A FSDT Meshfree Method for Free Vibration Analysis of Arbitrary Laminated Composite Shells and Spatial Structures, Composite Structures, Vol. 279, 2022, https://doi.org/10.1016/j.compstruct.2021.114763.
[9] A. Sharma, S. C. Joshi, Effect of In-situ Activated Core-shell particles On Fatigue Behavior of Carbon Fiber Reinforced Thermoplastic Composites, Composites Science and Technology, Vol. 253, 2024, pp. 110654, https://doi.org/10.1016/j.compscitech.2024.110654.
[10] T. Liu, H. Y. Zheng, W. Zhang, Y. Zheng, Y. J. Qian, Nonlinear Forced Vibrations of Functionally Graded Three-phase Composite Cylindrical Shell Subjected to Aerodynamic Forces External Excitations and Hygrothermal Environment, Thin-Walled Structures, Vol. 195, 2024, pp. 111511, https://doi.org/10.1016/j.tws.2023.111511.
[11] G. A. Vanin, N. D. Duc, Theory of Spherofibrous Composite. 2. The Fundamental Equations, Mechanics of Composite Materials, Vol. 32, 1996, pp. 208-216, https://doi.org/10.1007/BF02254687
[12] G. A. Vanin, N. D. Duc, Theory of Spherofibrous Composite. 1. The Input Relationships: Hypothesis and Models, Mechanics of Composite Materials, Vol. 32, 1996, pp. 197-207, https://doi.org/10.1007/BF02254686.
[13] N. D. Duc, The Thermoelastic Expansion of Spherical Fiber Composite, Mechanics of Composite Materials,
Vol. 33, 1997, pp. 179-184, https://doi.org/10.1007/BF02269606.
[14] D. K. Minh, P. V. Thu, N. D. Duc, Bending of Three Phase Composite Plate with Creep Effect. Proceeding of The International Conference on Engineering Mechanics and Automation (ICEMA), Hanoi, July, 2010, pp. 53-58
[15] N. D. Duc, D. K. Minh. Experiment for Bending Problem of Three Phase Composite Plate in Ship Structure, VNU Journal of Sciences, Mathematic- Physics, Vol. 26, 2010, pp. 141-145.
[16] N. D. Duc, D. K. Minh, Experimental Study on Young Module E of The Polymer Composite Reinforced by Nano Titanium Dioxide Particles, Vietnam Journal of Mechanics, VAST, Vol. 34, No. 1, 2012, pp. 19-25.
[17] P. V. Thu, The Buckling of Orthotropic Three-phase Composite Plates Used in Composite Shipbuilding. VNU Journal of Science, Mathematics- Physics, Vol. 34, No .4, 2019, pp. 92-109, https://doi.org/10.25073/2588-1124/vnumap.4313.
[18] N. D. Duc, P. V. Thu. Nonlinear Stability Analysis of Imperfect Three-phase Polymer Composite Plates in Thermal Environments, Composite Structures, Vol. 109, 2014, pp. 130-138, https://doi.org/10.1016/j.compstruct.2013.10.050.
[19] N. D. Duc, H. Hadavinia, P. V. Thu, T. Q. Quan, Vibration and Nonlinear Dynamic Response of Imperfect Three-phase Polymer Nanocomposite Panel Resting on Elastic Foundations Under Hydrodynamic Loads, Composite Structures, Vol.131, 2015, pp. 229-238, https://doi.org/10.1016/j.compstruct.2015.05.009.
[20] J. N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, Boca Raton.
[21] M. A. A. Farsangi, A. R. Saidi, R. C. Batra, Analytical Solution for Free Vibrations of Moderately Thick Hybrid Piezoelectric Laminated Plates, Journal of Sound and Vibration, Vol. 332, No. 22, 2013, pp. 5981-5998 https://doi.org/10.1016/j.jsv.2013.05.010.
[22] S. Srinivas, C. V. Joga, A. K. Rao, An Exact Analysis for Vibration of Simplysupported Homogeneous and Laminated Thick Rectangular Plates, Journal of Sound and Vibration, Vol. 12, No. 2, 1970, pp. 187-199, https://doi.org/10.1016/0022-460X(70)90089-1.