Dynamic Response of Sandwich Thick Plates with FG Face Sheets and Porous Core in Thermal Environments using Nonlocal Strain Gradient Theory Approach
Main Article Content
Abstract
Based on nonlocal strain gradient theory approach, we have analyzed the nonlinear dynamic response and vibration of sandwich thick plates with functionally graded (FG) face sheets and FG porous core subjected to mechanical, thermal and blast loads on elastic foundations. Three types of porosity, including symmetric porosity distribution, non-symmetric porosity distribution, uniform porosity distribution have been considered of sandwich plate. The system of dynamic governing equations of motion is obtained by utilizing Hamilton’s principle and solved by Bubnov-Galerkin method for a case of simply supported sandwich plate. Numerical results are presented and verified with other studies. The influence of nonlocal and strain gradient parameters, materials and porosity volume fraction, geometrical characteristics and parameters of elastic foundations on fundamental frequencies and dynamic response of the sandwich plates are elucidated.
Keywords:
Sandwich Functionally Graded Materials (FGM) plates; Porous material; Dynamic response and Vibration; Nonlocal strain gradient theory.
References
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[4] A. S. Rezaei, A. R. Saidi, M. Abrishamdari, M. P. H. Mohammadi, Natural Frequencies of Functionally Graded Plates with Porosities via A Simple Four Variable Plate Theory : An Analytical Approach. Thin Walled Struct, Vol. 120, 2017, pp. 366-377,https://doi.org/10.1016/j.tws.2017.08.003.
[5] F. Fan , B. Safaei , S. Sahmani, Buckling and Postbuckling Response of Nonlocal Strain Gradient Porous Functionally Graded Micro/nano-plates via NURBS-Based Isogeometric Analysis. Thin-Walled Struct, Vol. 159, 2021, pp. 107231, https://doi.org/10.1016/j.tws.2020.107231.
[6] N. D. Duc, Nonlinear Static and Dynamic Stability of Functionally Graded Plates and Shells, Vietnam Vietnam Natl Univ Press. 2014, pp. 724.
[7] N. D. Duc, V. D. Quang, P. D. Nguyen, T. M. Chien, Nonlinear Dynamic Response of Functional Graded Porous Plates on Elastic Foundation Subjected to Thermal and Mechanical Loads, J. Appl. Comput. Mech, Vol. 4, 2018, pp. 245-259, https://doi.org/10.22055/jacm.2018.23219.1151.
[8] S. Amir, M. Khorasani, H. B. A. Zarei, Buckling Analysis of Nanocomposite Sandwich Plates with Piezoelectric Face Sheets Based on Flexoelectricity and First-Order Shear Deformation Theory, J. Sandw. Struct. Mater.Vol. 22, 2018, pp. 2186-2209, https://doi.org/10.1177/1099636218795385.
[9] H. T. Thai, T. K. Nguyen, T. P. Vo, J. Lee, Analysis of Functionally Graded Sandwich Plates using A New First-Order Shear Deformation Theory, Eur. J. Mech. - A/Solids. , Vol. 45, 2014, pp. 211-225, https://doi.org/10.1016/j.euromechsol.2013.12.008.
[10] N. D. Duc, V. D. Quang, P. D. Nguyen, T. M. Chien, Nonlinear Dynamic Response of Functional Graded Porous Plates on Elastic Foundation Subjected to Thermal and Mechanical Loads, J. Appl. Comput. Mech, Vol. 4, 2018, pp. 245-259, https://doi.org/10.22055/jacm.2018.23219.1151.
[11] M. A. Shahmohammadi, M. Azhari, M. M. Saadatpour, S. S. Foroushani, Geometrically Nonlinear Analysis of Sandwich FGM and Laminated Composite Degenerated Shells Using The Isogeometric Finite Strip Method. Comput Methods Appl Mech Eng, Vol. 371, 2020, pp. 113311, https://doi.org/10.1016/j.cma.2020.113311.
[12] M. Ganapathi, S. Aditya, S. Shubhendu, O. Polit, Z. T. Ben, Nonlinear Supersonic Flutter Study of Porous 2D Curved Panels Including Graphene Platelets Reinforcement Effect Using Trigonometric Shear Deformable Finite Element. Int J Non Linear Mech Vol. 125, 2020, pp. 103543, https://doi.org/10.1016/j.ijnonlinmec.2020.103543.
[13] G. S. M. Hossein, F. Shirko, Free Vibration and Wave Propagation of Thick Plates Using The Generalized Nonlocal Strain Gradient Theory, J Theor Appl Vib Acous, Vol. 3, 2017, pp. 165-198.
[14] F. Ebrahimi, M. R. Barati, Hygrothermal Effects on Static Stability of Embedded Single-layer Graphene Sheets Based on Nonlocal Strain Gradient Elasticity Theory. J Thermal Stress, Vol. 42, 2019, pp. 1535-1550.
[15] M. R. Barati. Vibration Analysis of Porous FG Nanoshells with Even and Uneven Porosity Distributions Using Nonlocal Strain Gradient Elasticity. Acta Mech. Vol.229, 2018, pp. 1183–1196.
[16] L. H. Ma, L. L. Ke, J. N. Reddy et al., Wave Propagation Characteristics in Magneto-Electro-Elastic Nanoshells Using Nonlocal Strain Gradient Theory. Compos Struct, Vol. 199, 2018, pp. 10-23.
[17] H. Babaei, M. R. Eslami, on Nonlinear Vibration and Snap-through Buckling of Long FG Porous Cylindrical Panels Using Nonlocal Strain Gradient Theory, Compos Struct. Epub ahead of print 15 January 2021, Vol. 256, 2021,
pp. 113125, https://doi.org/10.1016/j.compstruct.2020.113125.
[18] Q. Li, V. P. Iu, K. P. Kou, Three-dimensional Vibration Analysis of Functionally Graded Material Sandwich Plates, J Sound Vib, Vol. 311, 2008, pp. 498-515, https://doi.org/10.1016/j.jsv.2007.09.018.
[19] N. Lam, P. Mendis, T. Ngo, Response Spectrum Solutions for Blast Loading. Electron J Struct Eng. Vol.4, 2004, pp. 28–44.