Nonlinear Vibration of Porous Funcationally Graded Cylindrical Panel Using Reddy’s High Order Shear Deformation
Main Article Content
Abstract
The nonlinear dynamic response and vibration of porous functionally graded cylindrical panel (PFGCP) subjected to the thermal load, mechanical load and resting on elastic foundations are determined by an analytical approach as the Reddy’s third order shear deformation theory, Ahry’s function… The study results for dynamic response of PFGCP present the effect of geometrical ratio, elastic foundations: Winkler foundation and Paskternak foundation; loads: mechanical load and thermal load; and the material properties and distribution type of porosity. The results are shown numerically and are determined by using Galerkin methods and Fourth-order Runge-Kutta method.
Keywords:
Nonlinear dynamic response, porous functionally graded cylindrical panel, the high order shear deformation theory, mechanical load, thermal load, nonlinear vibration.
References
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[31] A. Thon, P. Bélanger, EMAT design for minimum remnant thickness gauging using high order shear horizontal modes. Ultrasonics 95 (2019) 70-78.
[32] M. Meunier, R.A. Shenoi, Dynamic analysis of composite sandwich plates with damping modelled using high order shear deformation theory. Composite Structures 54 (2001) 243-254.
[33] P.H. Cong, V.M. Anh, N.D. Duc, Nonlinear dynamic response of eccentrically stiffened FGM plate using Reddy’s TSDT in thermal environment, Journal of Thermal Stresses 40 (2017) 704-732.
[34] Shufrin, M. Eisenberger, Stability of variable thickness shear deformable plates—first order and high order analyses, Thin-Walled Structures 43 (2005) 189-207.
[35] V. Stojanović, P. Kozić, G Janevski, Exact closed-form solutions for the natural frequencies and stability of elastically connected multiple beam system using Timoshenko and high order shear deformation theory, Journal of Sound and Vibration 332 (2013) 563-576.
[36] O. Attia, A. El-Zafrany, A high order shear element for nonlinear vibration analysis of composite layered plates and shells, International Journal of Mechanical Sciences 41 (1999) 461-486.
[37] N.D. Khoa, V.M. Anh, N.D. Duc, Nonlinear dynamic response and vibration of functionally graded nanocomposite cylindrical panel reinforced by carbon nanotubes in thermal environment, Journal of Sandwich Structures & Materials, 2019. https://doi.org/10.1177/1099636219847191.
[38] E. Allahyari, M. Asgari, Thermo-mechanical vibration of double-layer graphene nanosheets in elastic medium considering surface effects; developing a nonlocal third order shear deformation theory, European Journal of Mechanics - A/Solids 75 (2019) 307-321.
[39] X. Wang, G. Shi, A refined laminated plate theory accounting for the third order shear deformation and interlaminar transverse stress continuity, Applied Mathematical Modelling 39 (2015) 5659-5680.
[40] N.D. Duc, D.H. Bich, P.H. Cong, Nonlieanr thermal dynamic response of shear deformable FGM plates on elastic foundations. Journal of Thermal Stresses 29 (2016) 278 – 297.
[2] Z. Li, J. Zheng, Q. Sun, H. He, Nonlinear structural stability performance of pressurized thin-walled FGM arches under temperature variation field, International Journal of Non-Linear Mechanics 113 (2019) 86 – 102.
[3] S. Dastjerdi, B. Akgöz, New static and dynamic analyses of macro and nano FGM plates using exact three-dimensional elasticity in thermal environment, Composite Structures 192 (2018) 626-641.
[4] Y.Q. Wang, W.Z. Jean, Nonlinear dynamic thermoelastic response of rectangular FGM plates with longitudinal velocity, Composites Part B: Engineering 117 (2017) 74-88.
[5] A.H. Sofiyev, Dynamic response of an FGM cylindrical shell under moving loads, Composite Structures 93 (2010) 58-66.
[6] Z.X. Wang, H.S. Shen, Nonlinear dynamic response of sandwich plates with FGM face sheets resting on elastic foundations in thermal environments, Ocean Engineering 57 (2013) 99-110.
[7] M. Shariyat, Vibration and dynamic buckling control of imperfect hybrid FGM plates with temperature-dependent material properties subjected to thermo-electro-mechanical loading conditions, Composite Structures 88 (2009) 240-252.
[8] S.J. Singh, S.P. Harsha, Nonlinear dynamic analysis of sandwich S- FGM plate resting on pasternak foundation under thermal environment, European Journal of Mechanics - A/Solids 76 (2019) 155-179.
[9] K. Gao, W. Gao, D. Wu, C. Song, Nonlinear dynamic buckling of the imperfect orthotropic E- FGM circular cylindrical shells subjected to the longitudinal constant velocity, International Journal of Mechanical Sciences 138–139 (2018) 199-209.
[10] J. N. Reddy, C.D. Chin, Thermo-mechanical analysis of functionally graded cylinders and plates, J. Thermal Stress; 21 (1998) 593-626.
[11] H. Babaei, Y. Kiani, M.R. Eslami, Thermal buckling and post-buckling analysis of geometrically imperfect FGM clamped tubes on nonlinear elastic foundation, Applied Mathematical Modelling 71 (2019) 12-30.
[12] S.C. Han, W.T. Park, W.Y. Jung, 3D graphical dynamic responses of FGM plates on Pasternak elastic foundation based on quasi-3D shear and normal deformation theory, Composites Part B: Engineering 95 (2016) 324-334.
[13] S.E. Ghiasian, Y. Kiani, M.R. Eslami, Dynamic buckling of suddenly heated or compressed FGM beams resting on nonlinear elastic foundation, Composite Structures 106 (2013) 225-234.
[14] M. Javani, Y. Kiani and M.R. Eslami, Geometrically nonlinear rapid surface heating of temperature-dependent FGM arches, Aerospace Science and Technology 90 (2019) 264-274.
[15] M. Shariyat, Dynamic thermal buckling of suddenly heated temperature-dependent FGM cylindrical shells, under combined axial compression and external pressure, International Journal of Solids and Structures 45 (2008) 2598-2612.
[16] H. Babaei, Y. Kiani, M.Z. Eslami, Large amplitude free vibration analysis of shear deformable FGM shallow arches on nonlinear elastic foundation, Thin-Walled Structures 144 (2019) 106237.
[17] K. Gao, R. Li and J. Yang, Dynamic characteristics of functionally graded porous beams with interval material properties, Engineering Structures 197 (2019) 109441.
[18] H. Yang, X. Hao, J. Tang, W. Jin, J. Hu, Dual-functional porous copper films modulated via dynamic hydrogen bubble template for in situ SERS monitoring electrocatalytic reaction. Applied Surface Science 494 (2019) 731-739.
[19] K. Foroutan, A. Shaterzadeh, H. Ahmadi, Nonlinear static and dynamic hygrothermal buckling analysis of imperfect functionally graded porous cylindrical shells, Applied Mathematical Modelling January 77 (2020) 539-553.
[20] Q. Li, D. Wu, X. Chen, L. Liu, W. Gao, Nonlinear vibration and dynamic buckling analyses of sandwich functionally graded porous plate with graphene platelet reinforcement resting on Winkler–Pasternak elastic foundation, International Journal of Mechanical Sciences 148 (2018) 596-610.
[21] H.N. Li, P.F. Liu, C. Li, G. Li, H. Zhang, Experimental research on dynamic mechanical properties of metal tailings porous concrete, Construction and Building Materials 213 (2019) 20-31.
[22] S.S. Mirjavadi, B M. Afshari, M.R. Barati, A.M.S. Hamouda, Transient response of porous FG nanoplates subjected to various pulse loads based on nonlocal stress-strain gradient theory, European Journal of Mechanics - A/Solids March–April 74 (2019) 210-220.
[23] M. Esmaeilzadeh, M. Kadkhodayan, Dynamic analysis of stiffened bi-directional functionally graded plates with porosities under a moving load by dynamic relaxation method with kinetic damping, Aerospace Science and Technology 93 (2019) 105333.
[24] F. Ebrahimi, A. Jafari, M.R. Barati, Vibration analysis of magneto-electro-elastic heterogeneous porous material plates resting on elastic foundations, Thin-Walled Structures 119 (2017) 33-46.
[25] E. Arshid, A.R. Khorshidvand, Free vibration analysis of saturated porous FG circular plates integrated with piezoelectric actuators via differential quadrature method, Thin-Walled Structures 125 (2018) 220-233.
[26] M.H. Shojaeefard, H.S. Googarchin, M. Ghadiri, M. Mahinzare, Micro temperature-dependent FG porous plate: Free vibration and thermal buckling analysis using modified couple stress theory with CPT and FSDT, Applied Mathematical Modelling 50 (2017) 633-655.
[27] P.A. Demirhan, V. Taskin, Bending and free vibration analysis of Levy-type porous functionally graded plate using state space approach, Composites Part B: Engineering 160 (2019) 661-676.
[28] D.G. Zhang, Nonlinear bending analysis of FGM beams based on physical neutral surface and high order shear deformation theory, Composite Structures 100 (2013) 121-126.
[29] J.N. Reddy, C.D. Chin, Thermo-mechanical analysis of functionally graded cylinders and plates, J. Thermal Stress 21 (1998) 593-626.
[30] D.G. Zhang, Modeling and analysis of FGM rectangular plates based on physical neutral surface and high order shear deformation theory. International Journal of Mechanical Science 68 (2013) 92-104.
[31] A. Thon, P. Bélanger, EMAT design for minimum remnant thickness gauging using high order shear horizontal modes. Ultrasonics 95 (2019) 70-78.
[32] M. Meunier, R.A. Shenoi, Dynamic analysis of composite sandwich plates with damping modelled using high order shear deformation theory. Composite Structures 54 (2001) 243-254.
[33] P.H. Cong, V.M. Anh, N.D. Duc, Nonlinear dynamic response of eccentrically stiffened FGM plate using Reddy’s TSDT in thermal environment, Journal of Thermal Stresses 40 (2017) 704-732.
[34] Shufrin, M. Eisenberger, Stability of variable thickness shear deformable plates—first order and high order analyses, Thin-Walled Structures 43 (2005) 189-207.
[35] V. Stojanović, P. Kozić, G Janevski, Exact closed-form solutions for the natural frequencies and stability of elastically connected multiple beam system using Timoshenko and high order shear deformation theory, Journal of Sound and Vibration 332 (2013) 563-576.
[36] O. Attia, A. El-Zafrany, A high order shear element for nonlinear vibration analysis of composite layered plates and shells, International Journal of Mechanical Sciences 41 (1999) 461-486.
[37] N.D. Khoa, V.M. Anh, N.D. Duc, Nonlinear dynamic response and vibration of functionally graded nanocomposite cylindrical panel reinforced by carbon nanotubes in thermal environment, Journal of Sandwich Structures & Materials, 2019. https://doi.org/10.1177/1099636219847191.
[38] E. Allahyari, M. Asgari, Thermo-mechanical vibration of double-layer graphene nanosheets in elastic medium considering surface effects; developing a nonlocal third order shear deformation theory, European Journal of Mechanics - A/Solids 75 (2019) 307-321.
[39] X. Wang, G. Shi, A refined laminated plate theory accounting for the third order shear deformation and interlaminar transverse stress continuity, Applied Mathematical Modelling 39 (2015) 5659-5680.
[40] N.D. Duc, D.H. Bich, P.H. Cong, Nonlieanr thermal dynamic response of shear deformable FGM plates on elastic foundations. Journal of Thermal Stresses 29 (2016) 278 – 297.