Abstract
Based on stress transfer relationship of fiber reinforced composite layer, damping layer and stiffeners, this study presents a novel dynamic analytical model in order to evaluate the dynamic characteristics of a composite damping plate with randomly oriented carbon nanotube reinforced stiffeners. Both an energy method and complex modulus theory are used to derive the vibration equations. Experiments and numerical simulations are adopted for confirming the correctness of the analytical findings. Furthermore, the model is utilized to investigate the impact of structural variables on the dynamic properties, including the modal loss factor and first-order natural frequency.
Similar content being viewed by others
Data availability
Data will be made available on reasonable request.
References
Belardi, V.G., Fanelli, P., Vivio, F.: Ritz method analysis of rectilinear orthotropic composite circular plates undergoing in-plane bending and torsional moments. Mech. Adv. Mater. Struct. 28(9), 963–979 (2021a)
Belardi, V.G., Fanelli, P., Vivio, F.: On the radial bending of shear-deformable composite circular plates with rectilinear orthotropy. Eur. J. Mech.-A/Solids 86, 104157 (2021b)
Belardi, V.G., Fanelli, P., Vivio, F.: Application of the Ritz method for the bending and stress analysis of thin rectilinear orthotropic composite sector plates. Thin-Walled Struct. 183, 110374 (2023)
Bhaskar, K., Pydah, A.: An elasticity approach for simply-supported isotropic and orthotropic stiffened plates. Int. J. Mech. Sci. 89, 21–30 (2014)
Chang, S., Li, J., Han, W., et al.: Fabrication and high radiation-resistant properties of functionalized carbon nanotube reinforced novolac epoxy resin nanocomposite coatings. RSC Adv. 6(63), 58296–58301 (2016)
Cupiał, P., Nizioł, J.: Vibration and damping analysis of a three-layered composite plate with a viscoelastic mid-layer. J. Sound Vib. 183(1), 99–114 (1995)
Devarajan, B., Kapania, R.: Thermal buckling of curvilinearly stiffened laminated composite plates with cutouts using isogeometric analysis. Compos. Struct. 238, 111881 (2020)
Gao, P., Gao, Q., An, C., et al.: Analytical modeling for offshore composite rubber hose with spiral stiffeners under internal pressure. J. Reinf. Plast. Compos. 40(9–10), 352–364 (2021)
Guo, H., Cao, S., Yang, T., et al.: Geometrically nonlinear analysis of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element-free IMLS-Ritz method. Compos. B Eng. 154, 216–224 (2018a)
Guo, H., Cao, S., Yang, T., et al.: Vibration of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element-free IMLS-Ritz method. Int. J. Mech. Sci. 142, 610–621 (2018b)
Halpin, J.C.: Stiffness and expansion estimates for oriented short fiber composites. J. Compos. Mater. 3(4), 732–734 (1969)
Hong Cong, P., Anh, V.M., Dinh, D.N.: Nonlinear dynamic response of eccentrically stiffened FGM plate using Reddy’s TSDT in thermal environment. J. Therm. Stresses 40(6), 704–732 (2017)
Hsieh, T.H., Kinloch, A.J., Taylor, A.C., et al.: The effect of carbon nanotubes on the fracture toughness and fatigue performance of a thermosetting epoxy polymer. J. Mater. Sci. 46(23), 7525–7535 (2011)
Huang, K., Guo, H., Qin, Z., et al.: Flutter analysis of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element-free IMLS-Ritz method. Aerosp. Sci. Technol. 103, 105915 (2020)
Kallannavar, V., Kattimani, S., Ramesh, H.: Influence of temperature and moisture on free vibration behavior of skew laminated composite sandwich panels with CNTRC core. Int. J. Struct. Stab. Dyn. 22(08), 2250083 (2022)
Khan, N.M., Suresh, K.R.: Smart control of laminated plates using Murakami zig-zag functions. Int. J. Mech. Mater. Des. 17(3), 463–487 (2021)
Lai, F.M., Tu, C.W.: Optimizing the manufacturing parameters of carbon nanotubes stiffened speaker diaphragm using Taguchi method. Appl. Acoust. 113, 81–88 (2016)
Li, Y., Ren, X., Zhao, T., et al.: Dynamic response of stiffened plate under internal blast: Experimental and numerical investigation. Mar. Struct. 77, 102957 (2021)
Liu, D., Bai, R., Lei, Z., et al.: Experimental and numerical study on compression-after-impact behavior of composite panels with foam-filled hat-stiffener. Ocean Eng. 198(5), 106991 (2020)
Mallela, U.K., Upadhyay, A.: Buckling load prediction of laminated composite stiffened panels subjected to in-plane shear using artificial neural networks. Thin-Walled Struct. 102, 158–164 (2016)
Mehar, K., Panda, S.K., Mahapatra, T.R.: Theoretical and experimental investigation of vibration characteristic of carbon nanotube reinforced polymer composite structure. Int. J. Mech. Sci. 133, 319–329 (2017)
Mittelstedt, C.: Closed-form analysis of the buckling loads of uniaxially loaded blade-stringer-stiffened composite plates considering periodic boundary conditions. Thin-Walled Struct. 45(4), 371–382 (2007)
Mustafa, B.A.J., Ali, R.: An energy method for free vibration analysis of stiffened circular cylindrical shells. Comput. Struct. 32(2), 355–363 (1989)
Ni, Z., Zhou, K., Huang, X., et al.: Free vibration of stiffened laminated shells of revolution with a free-form meridian and general boundary conditions. Int. J. Mech. Sci. 157, 561–573 (2019)
Ouyang, T., Bao, R., Sun, W., et al.: A fast and efficient numerical prediction of compression after impact (CAI) strength of composite laminates and structures. Thin-Walled Struct. 148, 106588 (2020)
Patel, S.N.: Nonlinear bending analysis of laminated composite stiffened plates. Steel Compos. Struct. 17(6), 867–890 (2014)
Qing, G., Qiu, J., Liu, Y.: Free vibration analysis of stiffened laminated plates. Int. J. Sol. Struct. 43(6), 1357–1371 (2006)
Su, Z., Wang, L.A., Sun, K.C., et al.: Vibration characteristic and flutter analysis of elastically restrained stiffened functionally graded plates in thermal environment. Int. J. Mech. Sci. 157(872), 884 (2019)
Thinh, T.I., Quoc, T.H.: Finite element modeling and experimental study on bending and vibration of laminated stiffened glass fiber/polyester composite plates. Comput. Mater. Sci. 49(4), 383–389 (2010)
Wang, S., Su, J., Luo, L., et al.: Free vibration of embedded co-cured damping composite cruciform stiffened plates. Mach. Tool Hydraul. 47(24), 47–51 (2019)
Wang, S., Liang, S., Li, Q., et al.: Structural optimization to maximize loss factor of embedded co-cured damping composite. Adv. Mech. Eng. 11(11), 1687814019892123 (2019)
Wang, S., Zhang, J., Li, Q., Liang, S.: Free vibration of co-cured composite structures with different numbers of viscoelastic damping membranes. Compos. Struct. 247, 112434 (2020)
Wang, S., Zheng, C., Li, S., et al.: Free vibration of functionally graded carbon nanotube-reinforced composite damping structure based on the higher-order shear deformation theory. Polym. Compos. 44(2), 873–885 (2022)
Wu, Z., Zhang, Y., Yao, G.: Natural frequency and stability analysis of axially moving functionally graded carbon nanotube-reinforced composite thin plates. Acta Mech. Mech. 234(3), 1009–1031 (2022)
Xu, H., Du, J., Li, W.L.: Vibrations of rectangular plates reinforced by any number of beams of arbitrary lengths and placement angles. J. Sound Vib. 329(18), 3759–3779 (2010)
Xu, R., Ling, X., Jia, L., et al.: Effect of forming process on compression characteristics of composite hat-stiffened panels. J. Mater. Eng. 46(04), 152–157 (2018)
Yılmaz, İ, Arslan, E., Çavdar, K.: Experimental and numerical investigation of sound radiation from thin metal plates with different thickness values of free layer damping layers. Acoust. Aust. 49(3), 459–472 (2021)
Yourdkhani, M., Liu, W., Baril-Gosselin, S., et al.: Carbon nanotube-reinforced carbon fibre-epoxy composites manufactured by resin film infusion. Compos. Sci. Technol. 166, 169–175 (2018)
Zhai, Y., Liang, S.: Optimal lay-ups to maximize loss factor of cross-ply composite plate. Compos. Struct. 168, 597–607 (2017)
Zhai, Y., Yu, X., Yue, X., et al.: Dynamic property of functionally graded carbon nanotube-reinforced composite plates with viscoelastic core. Compos. Struct. 275, 114466 (2021)
Zheng, C., Sun, P., Fu, Y., et al.: Structural optimization to improve the dynamic performance of novel co-curing damping sandwich composites. Polym. Compos. 44(4), 2474–2487 (2023)
Acknowledgements
This work is financially supported by the the Natural Science Foundation of Shandong Province (Grant Number ZR2023ME154); and the doctoral research start-up funds at Liaocheng University, China, under Grant No. 318052212.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors hereby confirm that no conflict of interest exists for this article.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Wang, S., Li, S., Zhai, Z. et al. Vibration characteristics of composite damping plate with randomly oriented carbon nanotube reinforced stiffeners. Int J Mech Mater Des (2023). https://doi.org/10.1007/s10999-023-09689-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10999-023-09689-y