Free Vibration Analysis of Sandwich Beams with FG Face Sheets Based on the High Order Sandwich Beam Theory

Subject Areas :

Mohsen Rahmani ¹ (Department of Mechanics, Tuyserkan Branch, Islamic Azad University, Tuyserkan, Iran)
Sajjad Dehghanpour ² (Department of Mechanics, Tuyserkan Branch, Islamic Azad University, Tuyserkan, Iran)
Ali Barootiha ³ (Department of Mechanical Engineering, Takestan Branch, Islamic Azad University, Takestan, Iran)

Received: 2020-04-29 Accepted : 2020-07-19 Published : 2020-05-01

Keywords:

References:

[1] Laura, P. and Rossit, C. 2001. The Behavior of Sandwich Structures of Isotropic and Composite Materials-by Jack r. Vinson. Technomic Publishing Company, Ocean Engineering. 10(28): 1437-1438.

[2] Mahamood, R. and Akinlabi, E. 2017. Functionally Graded Materials, Topics in Mining. Metallurgy and Materials Engineering. Springer International Publishing, Cham.

[3] Rahmani, M., Mohammadi, Y., Kakavand, F. and Raeisifard, H. 2019. Buckling analysis of truncated conical sandwich panel with porous functionally graded core in different thermal conditions. Amirkabir Journal of Mechanical Engineering. 52(10): 141-150.

[4] Rahmani, M., Mohammadi, Y., Kakavand, F. and 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.

[5] Jafari Fesharaki, J., Madani, S.G. and Seydali, D. 2017. Stress concentration factor in a functionally graded material plate around a hole. Journal of Modern Processes in Manufacturing and Production. 6(1): 69-81.

[6] Bouderba, B. 2018. Bending of fgm rectangular plates resting on non-uniform elastic foundations in thermal environment using an accurate theory. Steel and Composite Structures. 27(3): 311-325.

[7] Rahmani, M., Mohammadi, Y. and 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.

[8] Reddy, J. 2000. Analysis of functionally graded plates.  International Journal for numerical methods in engineering. 47(1‐3): 663-684.

[9] Hu, H., Belouettar, S., Potier-Ferry, M. and Makradi, A. 2009. A novel finite element for global and local buckling analysis of sandwich beams.  Composite Structures. 90(3): 270-278.

[10] Vo, T.P., Thai, H.-T., Nguyen, T.-K., Maheri, A. and 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.

[11] Adámek, V. 2018. The limits of timoshenko beam theory applied to impact problems of layered beams.  International Journal of Mechanical Sciences. 145: 128-137.

[12] Frostig, Y., Baruch, M., Vilnay, O. and Sheinman, I. 1992. High-order theory for sandwich-beam behavior with transversely flexible core.  Journal of Engineering Mechanics. 118(5): 1026-1043.

[13] Mohammadi, Y. and Rahmani, M. 2020. Temperature-dependent buckling analysis of functionally graded sandwich cylinders.  Journal of Solid Mechanics. 12(1): 1-15.

[14] Rahmani, M., Mohammadi, Y. and 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.

[15] Rahmani, M., Mohammadi, Y. and Kakavand, F. 2019. Vibration analysis of different types of porous fg circular sandwich plates. ADMT Journal. 12(3): 63-75.

[16] Salami, S. J. 2016. Extended High Order Sandwich Panel Theory for Bending Analysis of Sandwich Beams with Carbon Nanotube Reinforced Face Sheets. Physica E: Low-dimensional Systems and Nanostructures. 76: 187-197.

[17] Salami, S. J. 2017. Low velocity impact response of sandwich beams with soft cores and carbon nanotube reinforced face sheets based on extended high order sandwich panel theory.  Aerospace Science and Technology. 66: 165-176.

[18] Dariushi, S. and Sadighi, M. 2014. A New Nonlinear High Order Theory for Sandwich Beams: An Analytical and Experimental Investigation. Composite Structures. 108: 779-788.

[19] Canales, F. and Mantari, J. 2016. Buckling and Free Vibration of Laminated Beams with Arbitrary Boundary Conditions using a Refined Hsdt. Composites Part B: Engineering. 100: 136-145.

[20] Khalili, S., Nemati, N., Malekzadeh, K. and Damanpack, A. 2010. Free vibration analysis of sandwich beams using improved dynamic stiffness method.  Composite structures. 92(2): 387-394.

[21] Arikoglu, A. and Ozkol, I. 2010. Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method.  Composite Structures. 92(12): 3031-3039.

[22] Amirani, M.C., Khalili, S. and Nemati, N. 2009. Free vibration analysis of sandwich beam with fg core using the element free galerkin method.  Composite Structures. 90(3): 373-379.

[23] Tossapanon, P. and Wattanasakulpong, N. 2016. Stability and free vibration of functionally graded sandwich beams resting on two-parameter elastic foundation. Composite Structures. 142: 215-225.

[24] Khdeir, A. and Aldraihem, O. 2016. Free vibration of sandwich beams with soft core. Composite Structures. 154: 179-189.

[25] Goncalves, B.R., Karttunen, A., Romanoff, J. and Reddy, J. 2017. Buckling and free vibration of shear-flexible sandwich beams using a couple-stress-based finite element. Composite Structures. 165: 233-241.

[26] Zhang, Z.-j., Han, B., Zhang, Q.-c. and Jin, F. 2017. Free vibration analysis of sandwich beams with honeycomb-corrugation hybrid cores. Composite Structures. 171: 335-344.

[27] Chen, D., Kitipornchai, S. and Yang, J. 2016. Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core. Thin-Walled Structures. 107: 39-48.

[28] Xu, G.-d., Zeng, T., Cheng, S., Wang, X.-h. and Zhang, K. 2019. Free vibration of composite sandwich beam with graded corrugated lattice core. Composite Structures. 229: 111466.

[29] Reddy, J.N. 2003. Mechanics of laminated composite plates and shells: Theory and analysis. ed. CRC press,

[30] Reddy, J. 1998. Thermomechanical behavior of functionally graded materials.

[31] 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.

[32] Nguyen, T.-K., Vo, T.P. and 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.