Vibration of the Metal Foam Sandwich Plates With FG-CNTRC Face Sheets via Isogeometric Analysis

Published online: 10/11/2025

Các tác giả

Email tác giả liên hệ:

hungpht@hcmute.edu.vn

DOI:

https://doi.org/10.54644/jte.2025.1840

Từ khóa:

Free vibration, Isogeometric analysis (IGA), Higher-order shear deformation theory, Metal foam, Carbon nanotube

Tóm tắt

The objective of this paper is to investigate the free vibration behavior of sandwich plates composed of a metal foam core and two face sheets made of carbon nanotube-reinforced composite (CNTRC) materials. To achieve this, Reddy's higher-order shear deformation theory (HSDT) combined with the isogeometric approach (IGA) is employed to develop the numerical model. The equations of motion are systematically derived using Hamilton's principle, ensuring an accurate representation of both displacement and stress fields through the plate thickness. The proposed formulation is validated by comparing the present numerical results with available solutions reported in the existing literature, demonstrating excellent agreement. A comprehensive parametric study is conducted to assess the effects of key factors such as porosity distribution, CNT volume fraction, CNT distribution pattern, boundary conditions, and geometrical parameters on the natural frequencies of sandwich plates. The findings provide valuable insights for the optimal design and performance evaluation of advanced lightweight structural components with customized mechanical properties for aerospace, mechanical, and civil engineering applications.

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Tiểu sử của Tác giả

Duy-Khang Pham, Ho Chi Minh City University of Technology and Education, Vietnam

Duy-Khang Pham was born in Vietnam in 2000. In 2023, he graduated with a Bachelor's degree in Civil Engineering from Ho Chi Minh City University of Technology and Education. He is currently pursuing a Master's degree in Mechanics at the same university. His research interest is computational mechanics.

Email address: pduykhang18@gmail.com. ORCID:  https://orcid.org/0009-0005-2486-5898

Minh-Tan Huynh, Ho Chi Minh City University of Technology and Education, Vietnam

Minh-Tan Huynh is from Ho Chi Minh City, Vietnam, born in 1997. He is a civil engineer who graduated in 2020 from Thu Dau Mot University. Currently, he is pursuing a master's degree at Ho Chi Minh City University of Technology and Education. His research interest is computational mechanics. 

Email address: tan.mh287@gmail.com. ORCID:  https://orcid.org/0009-0001-1698-5073

Tan-Hung Pham, Ho Chi Minh City University of Technology and Education, Vietnam

Tan-Hung Pham was born in Vietnam in 1981. He has a Ph.D. degree in Mechanics. Now, he is a lecturer at the Faculty of Civil Engineering at Ho Chi Minh City University of Technology and Education, Ho Chi Minh City, Vietnam. His research interests are the computational mechanics.

Email address: hungpht@hcmute.edu.vn. ORCID:  https://orcid.org/0000-0001-6105-9311

Tài liệu tham khảo

D. Chen, S. Kitipornchai, and J. J. Yang, “Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core,” Thin-Walled Structures, vol. 107, pp. 39–48, 2016. DOI: https://doi.org/10.1016/j.tws.2016.05.025

Y. Q. Wang and H. L. Zhao, “Free vibration analysis of metal foam core sandwich beams on elastic foundation using Chebyshev collocation method,” Archive of Applied Mechanics, vol. 89, pp. 2335–2349, 2019. DOI: https://doi.org/10.1007/s00419-019-01579-0

M. R. Barati, H. Shahverdi, and A. M. Zenkour, “Electro-mechanical vibration of smart piezoelectric FG plates with porosities according to a refined four-variable theory,” Mechanics of Advanced Materials and Structures, vol. 24, no. 12, pp. 987–998, 2017. DOI: https://doi.org/10.1080/15376494.2016.1196799

N. Wattanasakulpong and A. Chaikittiratana, “Flexural vibration of imperfect functionally graded beams based on Timoshenko beam theory: Chebyshev collocation method,” Meccanica, vol. 50, pp. 1331–1342, 2015. DOI: https://doi.org/10.1007/s11012-014-0094-8

F. Ebrahimi, A. Jafari, and M. R. Barati, “Free vibration analysis of smart porous plates subjected to various physical fields considering neutral surface position,” Arabian Journal for Science and Engineering, vol. 42, no. 5, pp. 1865–1881, 2017. DOI: https://doi.org/10.1007/s13369-016-2348-3

Y. Q. Wang and Z. Y. Zhang, “Bending and buckling of three-dimensional graphene foam plates,” Results in Physics, vol. 13, p. 102136, 2019. DOI: https://doi.org/10.1016/j.rinp.2019.02.072

A. Mojahedin, M. Jabbari, A. Khorshidvand, and M. Eslami, “Buckling analysis of functionally graded circular plates made of saturated porous materials based on higher order shear deformation theory,” Thin-Walled Structures, vol. 99, pp. 83–90, 2016. DOI: https://doi.org/10.1016/j.tws.2015.11.008

Z. Lei, L. Zhang, and K. B. Liew, “Vibration of FG-CNT reinforced composite thick quadrilateral plates resting on Pasternak foundations,” Engineering Analysis with Boundary Elements, vol. 64, pp. 1–11, 2016. DOI: https://doi.org/10.1016/j.enganabound.2015.11.014

L. Zhang, Z. Song, and K. C. Liew, “State-space Levy method for vibration analysis of FG-CNT composite plates subjected to in-plane loads based on higher-order shear deformation theory,” Composite Structures, vol. 134, pp. 989–1003, 2015. DOI: https://doi.org/10.1016/j.compstruct.2015.08.138

P. Jiao, Z. Chen, Y. Li, H. Ma, and J. Wu, “Dynamic buckling analyses of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) cylindrical shell under axial power-law time-varying displacement load,” Composite Structures, vol. 220, pp. 784–797, 2019. DOI: https://doi.org/10.1016/j.compstruct.2019.04.048

T. J. Hughes, J. A. Cottrell, and Y. Bazilevs, “Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement,” Computer Methods in Applied Mechanics and Engineering, vol. 194, no. 39–41, pp. 4135–4195, 2005. DOI: https://doi.org/10.1016/j.cma.2004.10.008

Z. Kacprzyk and K. Ostapska-Łuczkowska, “Isogeometric analysis as a new FEM formulation—Simple problems of steady-state thermal analysis,” Procedia Engineering, vol. 91, pp. 87–92, 2014. DOI: https://doi.org/10.1016/j.proeng.2014.12.018

T. A. Huynh, A. T. Luu, and J. J. Lee, “Bending, buckling and free vibration analyses of functionally graded curved beams with variable curvatures using isogeometric approach,” Meccanica, vol. 52, pp. 2527–2546, 2017. DOI: https://doi.org/10.1007/s11012-016-0603-z

C. H. Thai, H. Nguyen-Xuan, S. P. A. Bordas, N. Nguyen-Thanh, and T. Rabczuk, “Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory,” Mechanics of Advanced Materials and Structures, vol. 22, no. 6, pp. 451–469, 2015. DOI: https://doi.org/10.1080/15376494.2013.779050

M. R. Barati, “Nonlocal-strain gradient forced vibration analysis of metal foam nanoplates with uniform and graded porosities,” Advances in Nano Research, vol. 5, no. 4, pp. 393–402, 2017.

H. S. Shen, “Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially loaded shells,” Composite Structures, vol. 93, no. 8, pp. 2096–2108, 2011. DOI: https://doi.org/10.1016/j.compstruct.2011.02.011

J. Jam and Y. Kiani, “Buckling of pressurized functionally graded carbon nanotube reinforced conical shells,” Composite Structures, vol. 125, pp. 586–595, 2015. DOI: https://doi.org/10.1016/j.compstruct.2015.02.052

M. Mirzaei and Y. Kiani, “Thermal buckling of temperature-dependent FG-CNT reinforced composite plates,” Meccanica, vol. 51, pp. 2185–2201, 2016. DOI: https://doi.org/10.1007/s11012-015-0348-0

Y. Kiani, “Thermal postbuckling of temperature-dependent sandwich beams with carbon nanotube-reinforced face sheets,” Journal of Thermal Stresses, vol. 39, no. 9, pp. 1098–1110, 2016. DOI: https://doi.org/10.1080/01495739.2016.1192856

H. S. Shen, “Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments,” Composite Structures, vol. 91, no. 1, pp. 9–19, 2009. DOI: https://doi.org/10.1016/j.compstruct.2009.04.026

Z. X. Wang and H. S. Shen, “Nonlinear vibration of nanotube-reinforced composite plates in thermal environments,” Computational Materials Science, vol. 50, no. 8, pp. 2319–2330, 2011. DOI: https://doi.org/10.1016/j.commatsci.2011.03.005

Z. X. Wang and H. S. Shen, “Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets,” Composites Part B: Engineering, vol. 43, no. 2, pp. 411–421, 2012. DOI: https://doi.org/10.1016/j.compositesb.2011.04.040

Z. X. Wang, J. Xu, and P. Qiao, “Nonlinear low-velocity impact analysis of temperature-dependent nanotube-reinforced composite plates,” Composite Structures, vol. 108, pp. 423–434, 2014. DOI: https://doi.org/10.1016/j.compstruct.2013.09.024

J. N. Reddy, “A simple higher-order theory for laminated composite plates,” Journal of Applied Mechanics, vol. 51, no. 4, pp. 745–752, 1984. DOI: https://doi.org/10.1115/1.3167719

H. Nguyen-Xuan, C. H. Thai, and T. Nguyen-Thoi, “Isogeometric finite element analysis of composite sandwich plates using a higher order shear deformation theory,” Composites Part B: Engineering, vol. 55, pp. 558–574, 2013. DOI: https://doi.org/10.1016/j.compositesb.2013.06.044

M. Heshmati and F. Daneshmand, “A study on the vibrational properties of weight-efficient plates made of material with functionally graded porosity,” Composite Structures, vol. 200, pp. 229–238, 2018. DOI: https://doi.org/10.1016/j.compstruct.2018.05.099

H. Pham-Tan, C. H. Thai, and P. Phung-Van, “NURBS-based refined plate theory for metal foam plates with porosities,” Thin-Walled Structures, vol. 175, p. 109246, 2022. DOI: https://doi.org/10.1016/j.tws.2022.109246

Tải xuống

Đã Xuất bản

2025-11-10

Cách trích dẫn

[1]
D.-K. Pham, M.-T. Huynh, và T.-H. Pham, “Vibration of the Metal Foam Sandwich Plates With FG-CNTRC Face Sheets via Isogeometric Analysis: Published online: 10/11/2025”, JTE, tháng 11 2025.

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