Frequency responses analysis of clamped-free sandwich beams with porous FG face sheets
Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering
1 - Department of Mechanics, Tuyserkan Branch, Islamic Azad University, Tuyserkan, Iran
Keywords:
Abstract :
[1] Vinson, J. (2018). The behavior of sandwich structures of isotropic and composite materials: Routledge.
[2] Rahmani, M., Mohammadi, Y., & Kakavand, F. (2019). Vibration analysis of sandwich truncated conical shells with porous FG face sheets in various thermal surroundings. Steel and Composite Structures, 32(2), 239-252.
[3] Frostig, Y., Baruch, M., Vilnay, O., & Sheinman, I. (1992). High-order theory for sandwich-beam behavior with transversely flexible core. Journal of Engineering Mechanics, 118(5), 1026-1043.
[4] Fazzolari, F. A. (2018). Generalized exponential, polynomial and trigonometric theories for vibration and stability analysis of porous FG sandwich beams resting on elastic foundations. Composites Part B: Engineering, 136, 254-271.
[5] Chen, D., Kitipornchai, S., & Yang, J. (2016). Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core. Thin-Walled Structures, 107, 39-48.
[6] Akbaş, Ş. D. (2017). Thermal effects on the vibration of functionally graded deep beams with porosity. International Journal of Applied Mechanics, 9(05), 1750076.
[7] Bourada, F., Bousahla, A. A., Bourada, M., Azzaz, A., Zinata, A., & Tounsi, A. (2019). Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory. Wind and Structures, 28(1), 19-30.
[8] Li, C., Shen, H.-S., & Wang, H. (2019). Nonlinear vibration of sandwich beams with functionally graded negative Poisson’s ratio honeycomb core. International Journal of Structural Stability and Dynamics, 19(03), 1950034.
[9] Wu, H., Kitipornchai, S., & Yang, J. (2015). Free vibration and buckling analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets. International Journal of Structural Stability and Dynamics, 15(07), 1540011.
[10] Xu, G.-d., Zeng, T., Cheng, S., Wang, X.-h., & Zhang, K. (2019). Free vibration of composite sandwich beam with graded corrugated lattice core. Composite Structures, 229, 111466.
[11] Li, M., Du, S., Li, F., & Jing, X. (2020). Vibration characteristics of novel multilayer sandwich beams: Modelling, analysis and experimental validations. Mechanical Systems and Signal Processing, 142, 106799.
[12] Li, Y., Dong, Y., Qin, Y., & Lv, H. (2018). Nonlinear forced vibration and stability of an axially moving viscoelastic sandwich beam. International Journal of Mechanical Sciences, 138, 131-145.
[13] Şimşek, M., & Al-Shujairi, M. (2017). Static, free and forced vibration of functionally graded (FG) sandwich beams excited by two successive moving harmonic loads. Composites Part B: Engineering, 108, 18-34.
[14] Nguyen, T.-K., Vo, T. P., Nguyen, B.-D., & Lee, J. (2016). An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory. Composite Structures, 156, 238-252.
[15] Kahya, V., & Turan, M. (2018). Vibration and stability analysis of functionally graded sandwich beams by a multi-layer finite element. Composites Part B: Engineering, 146, 198-212.
[16] Tossapanon, P., & Wattanasakulpong, N. (2016). Stability and free vibration of functionally graded sandwich beams resting on two-parameter elastic foundation. Composite Structures, 142, 215-225.
[17] Amirani, M. C., Khalili, S., & Nemati, N. (2009). Free vibration analysis of sandwich beam with FG core using the element free Galerkin method. Composite Structures, 90(3), 373-379.
[18] Pradhan, S., & Murmu, T. (2009). Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method. Journal of Sound and Vibration, 321(1-2), 342-362.
[19] Mashat, D. S., Carrera, E., Zenkour, A. M., Al Khateeb, S. A., & Filippi, M. (2014). Free vibration of FGM layered beams by various theories and finite elements. Composites Part B: Engineering, 59, 269-278.
[20] Nguyen, T.-K., Nguyen, T. T.-P., Vo, T. P., & Thai, H.-T. (2015). Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory. Composites Part B: Engineering, 76, 273-285.
[21] Vo, T. P., Thai, H.-T., Nguyen, T.-K., Inam, F., & Lee, J. (2015). A quasi-3D theory for vibration and buckling of functionally graded sandwich beams. Composite Structures, 119, 1-12.
[22] Yang, Y., Lam, C., Kou, K., & Iu, V. (2014). Free vibration analysis of the functionally graded sandwich beams by a meshfree boundary-domain integral equation method. Composite Structures, 117, 32-39.
[23] Abdolahi, I., & Yas, M. (2014). Vibration Analysis of Timoshenko Beam Reinforced With Boron-Nitride Nanotube on Elastic Bed. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 7(3), 1-12.
[24] Farahani, H., Barati, F., Nejati, M., & Batmani, H. (2013). Vibration Analysis of Thick Functionally Graded Beam under Axial Load Based on Two-Dimensional Elasticity Theory and Generalized Differential Quadrature. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 6(2), 59-71.
[25] Pirmoradian, M., & Karimpour, H. (2017). Parametric resonance and jump analysis of a beam subjected to periodic mass transition. Nonlinear Dynamics, 89(3), 2141-2154.
[26] Pirmoradian, M., Torkan, E., & Toghraie, D. (2020). Study on size-dependent vibration and stability of DWCNTs subjected to moving nanoparticles and embedded on two-parameter foundations. Mechanics of Materials, 142, 103279.
[27] Pirmoradian, M., Torkan, E., Zali, H., Hashemian, M., & Toghraie, D. (2020). Statistical and parametric instability analysis for delivery of nanoparticles through embedded DWCNT. Physica A: Statistical Mechanics and Its Applications, 554, 123911.
[28] Torkan, E., Pirmoradian, M., & Hashemian, M. (2017). Occurrence of parametric resonance in vibrations of rectangular plates resting on elastic foundation under passage of continuous series of moving masses. Modares Mechanical Engineering, 17(9), 225-236.
[29] Torkan, E., Pirmoradian, M., & Hashemian, M. (2019). Dynamic instability analysis of moderately thick rectangular plates influenced by an orbiting mass based on the first-order shear deformation theory. Modares Mechanical Engineering, 19(9), 2203-2213.
[30] Torkan, E., & Pirmoradian, M. (2019). Efficient higher-order shear deformation theories for instability analysis of plates carrying a mass moving on an elliptical path. Journal of Solid Mechanics, 11(4), 790-808.
[31] Heydari, E., Mokhtarian, A., Pirmoradian, M., Hashemian, M., & Seifzadeh, A. (2020). Sound transmission loss of a porous heterogeneous cylindrical nanoshell employing nonlocal strain gradient and first-order shear deformation assumptions. Mechanics Based Design of Structures and Machines, 1-22.
[32] Heydari, E., Mokhtarian, A., Pirmoradian, M., Hashemian, M., & Seifzadeh, A. (2021). Acoustic wave transmission of double-walled functionally graded cylindrical microshells under linear and nonlinear temperature distributions using modified strain gradient theory. Thin-Walled Structures, 169, 108430.
[33] Mohammadi, Y., H Safari, K., & Rahmani, M. (2016). Free vibration analysis of circular sandwich plates with clamped FG face sheets. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 9(4), 631-646.
[34] Rahmani, M., Mohammadi, Y., Kakavand, F., & Raeisifard, H. (2020). Vibration analysis of different types of porous FG conical sandwich shells in various thermal surroundings. Journal of Applied and Computational Mechanics, 6(3), 416-432.
[35] Reddy, J. N. (2003). Mechanics of laminated composite plates and shells: theory and analysis: CRC press.
[36] Dariushi, S., & Sadighi, M. (2014). A new nonlinear high order theory for sandwich beams: An analytical and experimental investigation. Composite Structures, 108, 779-788.
[37] Rahmani, M., Mohammadi, Y., & Kakavand, F. (2020). Buckling analysis of different types of porous fg conical sandwich shells in various thermal surroundings. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42(4), 1-16.
[38] Rahmani, M., & Dehghanpour, S. (2021). Temperature-Dependent Vibration of Various Types of Sandwich Beams with Porous FGM Layers. International Journal of Structural Stability and Dynamics, 21(02), 2150016.
[39] Mohammadi, Y., & Rahmani, M. (2020). Temperature-dependent buckling analysis of functionally graded sandwich cylinders. Journal of Solid Mechanics, 12(1), 1-15.
[40] Rahmani, M., & Mohammadi, Y. (2021). Vibration of two types of porous FG sandwich conical shell with different boundary conditions. Structural Engineering and Mechanics, 79(4), 401-413.
[41] Şimşek, M. (2010). Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories. Nuclear Engineering and Design, 240(4), 697-705.
[42] Nguyen, T.-K., Vo, T. P., & Thai, H.-T. (2013). Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory. Composites Part B: Engineering, 55, 147-157.
[43] Vo, T. P., Thai, H.-T., Nguyen, T.-K., Maheri, A., & Lee, J. (2014). Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory. Engineering Structures, 64, 12-22.
