Coupled aeroelastic–nanomechanical modeling of functionally graded piezoelectric tapered nanoplates used in sports equipment: results verification via a hybrid machine learning algorithm
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OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Composite Structure Analysis and Optimization · Thermoelastic and Magnetoelastic Phenomena
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References (65)
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1. Vu, V.-T., Tran, H.-Q.: Thermo-electro-magneto-mechanical vibration analysis of sandwich plates with graphene oxide powder reinforced composite core and magneto-electro-elastic face sheets resting on Kerr foundation. Int. J. Mech. Mater. des. (2025). https://doi.org/10.1007/s10999-025-09795-z10.1007/s10999-025-09795-z ↗
2. Ghosh, S., Haldar, S.: Free vibration and kriging uncertainty analysis of skew laminated composite plates resting on elastic foundation having cut-outs and carrying attached mass using FEM. Int. J. Mech. Mater. des. (2025). https://doi.org/10.1007/s10999-025-09775-310.1007/s10999-025-09775-3 ↗
3. Zhang, X., Zhao, X., Li, Y., Wang, H., Zheng, S.: Effect of flexoelectricity on the nonlinear static and dynamic response of functionally graded porous graphene platelets-reinforced composite plates integrated with piezoelectric layers. Int. J. Mech. Mater. des. 21, 877–903 (2025a). https://doi.org/10.1007/s10999-025-09765-510.1007/s10999-025-09765-5 ↗
4. Moradi, A., Shaterzadeh, A.: Nonlinear forced vibration and resonance analysis of composite rectangular sandwich plates with lattice cores. Int. J. Mech. Mater. des. 21, 463–506 (2025). https://doi.org/10.1007/s10999-025-09746-810.1007/s10999-025-09746-8 ↗
5. Sahu, S., Kumar, R.S., Kundalwal, S.I.: Static and free vibration analysis of laminated composite hyperbolic paraboloidal shells using Carrera Unified Formulation. Int. J. Mech. Mater. des. 21, 385–414 (2025). https://doi.org/10.1007/s10999-025-09741-z10.1007/s10999-025-09741-z ↗
6. Allahkarami, F., Tohidi, H.: Axisymmetric postbuckling of functionally graded graphene platelets reinforced composite annular plate on nonlinear elastic medium in thermal environment. Int. J. Struct. Stab. Dyn. 23, 2350034 (2023)10.1142/S0219455423500347 ↗
7. Babaei, H., Kiani, Y., Eslami, M.R.: Perturbation method for thermal post-buckling analysis of shear deformable FG-CNTRC beams with different boundary conditions. Int. J. Struct. Stab. Dyn. 21, 2150175 (2021)10.1142/S0219455421501753 ↗
8. Bayat, M.J., Kalhori, A., Babaei, M., Asemi, K.: Natural frequency characteristics of stiffened FG multilayer graphene-reinforced composite plate with circular cutout resting on elastic foundation. Int. J. Struct. Stab. Dyn. 24, 2450202 (2024)10.1142/S021945542450202X ↗
9. Abdelmalek, A., Bouazza, M., Zidour, M., Benseddiq, N.: Hygrothermal effects on the free vibration behavior of composite plate using n th-order shear deformation theory: a micromechanical approach. Iran. J. Sci. Technol. Trans. Mech. Eng. 43, 61–73 (2019)10.1007/s40997-017-0140-y ↗
10. Adab, N., Arefi, M., Amabili, M.: A comprehensive vibration analysis of rotating truncated sandwich conical microshells including porous core and GPL-reinforced face-sheets. Compos. Struct. 279, 114761 (2022)10.1016/j.compstruct.2021.114761 ↗
11. Afzali, M., Farrokh, M., Carrera, E.: Nonlinear thermal post-buckling analysis of rectangular FG plates using CUF. Compos. Struct. 321, 117282 (2023). https://doi.org/10.1016/j.compstruct.2023.11728210.1016/j.compstruct.2023.117282 ↗
12. Ai, L., Gao, X.-L.: Metamaterials with negative Poisson’s ratio and non-positive thermal expansion. Compos. Struct. 162, 70–84 (2017)10.1016/j.compstruct.2016.11.056 ↗
13. Alsubaie, A.M., Alfaqih, I., Al-Osta, M.A., Tounsi, A., Chikh, A., Mudhaffar, I.M., Tahir, S.: Porosity-dependent vibration investigation of functionally graded carbon nanotube-reinforced composite beam. Comput. Concr. 32, 75–85 (2023)
14. Adeniyi, A.G., Abdulkareem, S.A., Iwuozor, K.O., Abdulkareem, M.T., Adeyanju, C.A., Emenike, E.C., Ndagi, M., Akande, O.J.: Mechanical and microstructural properties of expanded polyethylene powder/mica filled hybrid polystyrene composites. Mech. Adv. Mater. Struct. 30, 2610–2619 (2023)10.1080/15376494.2022.2059822 ↗
15. Al-Osta, M.A.: An exponential-trigonometric quasi-3D HSDT for wave propagation in an exponentially graded plate with microstructural defects. Compos. Struct. 297, 115984 (2022)10.1016/j.compstruct.2022.115984 ↗
16. Alijani, F., Amabili, M.: Nonlinear vibrations of laminated and sandwich rectangular plates with free edges. Part 1: theory and numerical simulations. Compos. Struct. 105, 422–436 (2013)10.1016/j.compstruct.2013.05.034 ↗
17. Ahmed, A., Uddin, M.N., Akbar, M., Salih, R., Khan, M.A., Bisheh, H., Rabczuk, T.: Prediction of shear behavior of glass FRP bars-reinforced ultra-highperformance concrete I-shaped beams using machine learning. Int. J. Mech. Mater. des. 20, 1–22 (2023)
18. Al-Furjan, M., Shan, L., Shen, X., Zarei, M., Hajmohammad, M., Kolahchi, R.: A review on fabrication techniques and tensile properties of glass, carbon, and Kevlar fiber reinforced rolymer composites. J. Mater. Res. Technol. 19, 2930–2959 (2022a)10.1016/j.jmrt.2022.06.008 ↗
19. Vuong, P.M., Duc, N.D.: Nonlinear vibration of FGM moderately thick toroidal shell segment within the framework of Reddy’s third order-shear deformation shell theory. Int. J. Mech. Mater. des. 16, 245–264 (2020)10.1007/s10999-019-09473-x ↗
20. Abad, F., Rouzegar, J.: Exact wave propagation analysis of moderately thick Levy-type plate with piezoelectric layers using spectral element method. Thin-Walled Struct. 141, 319–331 (2019)10.1016/j.tws.2019.04.007 ↗
21. Al-Furjan, M., Xu, M., Farrokhian, A., Jafari, G.S., Shen, X., Kolahchi, R.: On wave propagation in piezoelectric-auxetic honeycomb-2D-FGM micro-sandwich beams based on modified couple stress and refined zigzag theories. Waves Random Complex Media (2022b). https://doi.org/10.1080/17455030.2022.203049910.1080/17455030.2022.2030499 ↗
22. Ayache, B., Bennai, R., Fahsi, B., Fourn, H., Atmane, H.A., Tounsi, A.: Analysis of wave propagation and free vibration of functionally graded porous material beam with a novel four variable refined theory. Earthq. Struct. 15, 369 (2018)
23. Fallah, F., Dehghanian, Z., Farrahi, G.: Wave propagation characteristics in incompressible hyperelastic multi-layered cylindrical shells based on the shell theory. Thin-Walled Struct. (2025). https://doi.org/10.1016/j.tws.2025.11319110.1016/j.tws.2025.113191 ↗
24. Aminipour, H., Janghorban, M., Li, L.: A new model for wave propagation in functionally graded anisotropic doubly-curved shells. Compos. Struct. 190, 91–111 (2018)10.1016/j.compstruct.2018.02.003 ↗
25. Niu, Y., Yao, M.: Linear and nonlinear vibrations of graphene platelet reinforced composite tapered plates and cylindrical panels. Aerosp. Sci. Technol. 115, 106798 (2021)10.1016/j.ast.2021.106798 ↗
26. Elangovan, H., Rajamohan, V.: Dynamic characterization of tapered composite sandwich plate with honeycomb core: numerical and experimental investigations. Thin-Walled Struct. 178, 109515 (2022)10.1016/j.tws.2022.109515 ↗
27. Dashatan, S.H., Parnas, L., Coker, D., Bozkurt, M.O., Ozen, E.B.: In-situ observation and numerical study of dynamic delamination in tapered composite laminates. Compos. Struct. 312, 116841 (2023)10.1016/j.compstruct.2023.116841 ↗
28. Gordon, T., Xu, X., Wisnom, M.R., Hallett, S.R., Kim, B.C.: Improved impact damage resistance of tapered composite laminates using a ply scarfing technique. Compos. Part A Appl. Sci. Manuf. 166, 107391 (2023)10.1016/j.compositesa.2022.107391 ↗
29. Kazemi, E., Medeau, V., Greenhalgh, E., Pimenta, S., Finlayson, J., Pinho, S.T.: A novel structural fuse concept for controlling failure path in tapered composite laminates. Compos. Part A Appl. Sci. Manuf. 191, 108714 (2025)10.1016/j.compositesa.2025.108714 ↗
30. Ahmed, A., Uddin, M.N., Akbar, M., Salih, R., Khan, M.A., Bisheh, H., Rabczuk, T.: Prediction of shear behavior of glass FRP bars-reinforced ultra-highperformance concrete I-shaped beams using machine learning. Int. J. Mech. Mater. des. 20, 269–290 (2024)10.1007/s10999-023-09675-4 ↗
31. Anitescu, C., Ateş, B.İsmail, Rabczuk, T.: Physics-informed neural networks: theory and applications. In: Machine Learning in Modeling and Simulation: Methods and Applications, pp. 179–218. Springer (2023)10.1007/978-3-031-36644-4_5 ↗
32. A. Chakraborty, T. Wick, X. Zhuang, T. Rabczuk, Multigoal-oriented dual-weighted-residual error estimation using deep neural networks, arXiv Preprint arXiv:2112.11360 (2021).
33. Bai, J., Liu, G.-R., Rabczuk, T., Wang, Y., Feng, X.-Q., Gu, Y.: A robust radial point interpolation method empowered with neural network solvers (RPIM-NNS) for nonlinear solid mechanics. Comput. Methods Appl. Mech. Eng. 429, 117159 (2024)10.1016/j.cma.2024.117159 ↗
34. Goswami, S., Anitescu, C., Chakraborty, S., Rabczuk, T.: Transfer learning enhanced physics informed neural network for phase-field modeling of fracture. Theor. Appl. Fract. Mech. 106, 102447 (2020)10.1016/j.tafmec.2019.102447 ↗
35. Javvaji, B., Mortazavi, B., Zhuang, X., Rabczuk, T.: Exploring tensile piezoelectricity and bending flexoelectricity of diamane monolayers by machine learning. Carbon 185, 558–567 (2021)10.1016/j.carbon.2021.09.007 ↗
36. Liu, B., Wang, Y., Rabczuk, T., Olofsson, T., Lu, W.: Multi-scale modeling in thermal conductivity of polyurethane incorporated with phase change materials using physics-informed neural networks. Renew. Energy 220, 119565 (2024)10.1016/j.renene.2023.119565 ↗
37. Gao, N., Guo, X., Deng, J., Cheng, B., Hou, H.: Elastic wave modulation of double-leaf ABH beam embedded mass oscillator. Appl. Acoust. 173, 107694 (2021)10.1016/j.apacoust.2020.107694 ↗
38. Liu, Y., Su, J., Wang, Z., He, D., Wang, T., Huang, Q.: Analytical model of flat rolling force for corrugated composite sheet. Int. J. Mech. Sci. (2025a). https://doi.org/10.1016/j.ijmecsci.2025.11032710.1016/j.ijmecsci.2025.110327 ↗
39. Liu, Y., Su, J., He, D., Hao, P., Liu, Y., Wang, Z., Wang, T.: Analytical model for corrugated rolling of composite plates considering the shear effect. J. Manuf. Process. 134, 1069–1081 (2025b)10.1016/j.jmapro.2025.01.025 ↗
40. Zou, D., Liu, G., Rao, Z., Tan, T., Zhang, W., Liao, W.-H.: A device capable of customizing nonlinear forces for vibration energy harvesting, vibration isolation, and nonlinear energy sink. Mech. Syst. Signal Process. 147, 107101 (2021)10.1016/j.ymssp.2020.107101 ↗
41. Gao, H., Liu, T., Chen, X., Zeng, H., Jiang, J., Wang, X., Khoo, B.C.: Turbulence correlation between moving trains and anemometer towers: theoretical analysis, field measurements and simulation. J. Wind Eng. Ind. Aerodyn. 255, 105949 (2024)10.1016/j.jweia.2024.105949 ↗
42. Hao, W., Shi, D., Yang, X., Li, N., Su, S., Fan, Y.: Multi-mode fatigue life prediction using machine learning inspired by damage physics. Int. J. Mech. Sci. (2025). https://doi.org/10.1016/j.ijmecsci.2025.11072310.1016/j.ijmecsci.2025.110723 ↗
43. Yang, J., Yidan, L., Xuandong, L., Tiantian, W.: An adaptive measurement-based substructure identification framework for dynamic response reconstruction. Mech. Syst. Sig. Proces. 239, 113277 (2025).10.1016/j.ymssp.2025.113277 ↗
44. Dai, J., Yang, C., Gai, P.-P., Xu, Z.-D., Yan, X., Xu, W.-P.: Robust damping improvement against the vortex-induced vibration in flexible bridges using multiple tuned mass damper inerters. Eng. Struct. 313, 118221 (2024)10.1016/j.engstruct.2024.118221 ↗
45. Gai, P.-P., Dai, J., Xu, Z.-D., Bi, Q.-S., Guan, Q.-S.: A novel two-state active tuned mass damper inerter control of high-flexibility long-span bridges. J. Struct. Eng. 151, 05025005 (2025)10.1061/JSENDH.STENG-14576 ↗
46. Zhu, J., Wang, X., Cao, G., Xu, L., Cao, Y.: Quantum interval neural network for uncertain structural static analysis. Int. J. Mech. Sci. (2025). https://doi.org/10.1016/j.ijmecsci.2025.11064610.1016/j.ijmecsci.2025.110646 ↗
47. Zhang, P., Wang, Z., Tian, H., Xi, X., Liu, X.: On the magnetically tunable free damped-vibration of L-shaped composite spherical panels made of GPL-reinforced magnetorheological elastomers: an element-based GDQ approach. Thin-Walled Struct. 218, 113987 (2025b)10.1016/j.tws.2025.113987 ↗
48. Wan, A., Tong, X., Al-Bukhaiti, K., Zhou, Z., Su, Y., Cheng, X., Ji, X.: Vibration prediction for abnormal elevator door system faults based on attention mechanism and neural networks with time-frequency domain features. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 239, 7358–7372 (2025)10.1177/09544062251347475 ↗
49. Guo, W., Liu, J., Qin, W., Lan, X., Bai, H., Li, X.: Robust adaptive dynamic programming for morphing air-breathing hypersonic vehicles under unmatched uncertainty. Sci. China Inf. Sci. 69, 1–21 (2026)10.1007/s11432-024-4386-4 ↗
50. Luo, J., Cheng, Z., Yu, N., Tian, Y., Meng, J.: A flexible skin material with switchable wettability for trans-medium vehicles. Int. J. Smart Nano Mater. 16, 419–442 (2025)10.1080/19475411.2025.2504442 ↗
51. Liu, X., Yang, S., Sun, H., Wang, Z., Guan, X., Gu, Y., Wang, Y.: Review of deep learning-based aerodynamic shape surrogate models and optimization for airfoils and blade profiles. Phys. Fluids (2025c). https://doi.org/10.1063/5.026846610.1063/5.0268466 ↗
52. Wang, X., Li, H., Baoyin, H., Han, S., Bao, C.: Aerodynamic optimization of wind turbine blades via surrogate-assisted deep reinforcement learning. Phys. Fluids (2025). https://doi.org/10.1063/5.025638910.1063/5.0256389 ↗
53. Lin, J., Chen, S., Li, J., Jiang, Q., Jia, M., Li, D., Wang, Y.: A velocity-prediction lightweight diffusion model for three-dimensional aircraft aerodynamic inverse design. Eng. Appl. Artif. Intell. 163, 113125 (2026)10.1016/j.engappai.2025.113125 ↗
54. Li, X., Wang, R., Fan, G., Song, F.: Morphological quantification of the higher-order contact normal fabrics for granular materials. Tribol. Int. 214, 111348 (2025)10.1016/j.triboint.2025.111348 ↗
55. Wang, Z., Hong, Z., Wu, G., Lv, C., Kong, C., Chang, J.: Flow field coupling between turbine and ramjet channels during turbine-based combined cycle inlet mode transition. Phys. Fluids (2026). https://doi.org/10.1063/5.030779910.1063/5.0307799 ↗
56. He, D., Yang, N., Liu, Y., Xu, H., Li, G., Duan, Z., Wang, T.: Nonlinear vibration and vibration transmission of roll controlled by negative stiffness vibration absorbers. Mech. Syst. Signal Process. 245, 113872 (2026)10.1016/j.ymssp.2026.113872 ↗
57. Shi, Y., Li, Z., Yang, Z., Niu, Y., Kou, J., Shen, X., Wang, Y., Sun, Z.: Neural-based adaptive grinding force tracking control for pneumatic end-actuator with uncertain dynamic model constraints. Inf. Sci. 728, 122813 (2025)10.1016/j.ins.2025.122813 ↗
58. Al-Attabi, K., Raju, V.V.R.: Enhancing sports performance through the integration of smart equipment and sensors. In: Advances in Sports Science and Technology, pp. 127–131. CRC Press, Boca Raton (2025)10.1201/9781003616283-26 ↗
59. Bodaghi, M., Shakeri, M.: An analytical approach for free vibration and transient response of functionally graded piezoelectric cylindrical panels subjected to impulsive loads. Compos. Struct. 94, 1721–1735 (2012)10.1016/j.compstruct.2012.01.009 ↗
60. Vel, S.S., Mewer, R., Batra, R.: Analytical solution for the cylindrical bending vibration of piezoelectric composite plates. Int. J. Solids Struct. 41, 1625–1643 (2004)10.1016/j.ijsolstr.2003.10.012 ↗
61. Ramirez, F., Heyliger, P.R., Pan, E.: Free vibration response of two-dimensional magneto-electro-elastic laminated plates. J. Sound Vib. 292, 626–644 (2006)10.1016/j.jsv.2005.08.004 ↗
62. Yang, J.: Special Topics in the Theory of Piezoelectricity. Springer (2010)
63. Aydogdu, M.: A new shear deformation theory for laminated composite plates. Compos. Struct. 89, 94–101 (2009)10.1016/j.compstruct.2008.07.008 ↗
64. Nguyen, N.V., Żur, K.K., Nguyen-Xuan, H.: Supersonic flutter characteristics of perovskite solar panels integrated into nature-inspired structures. Thin-Walled Struct. 214, 113358 (2025). https://doi.org/10.1016/j.tws.2025.11335810.1016/j.tws.2025.113358 ↗
65. Natarajan, S., Chakraborty, S., Thangavel, M., Bordas, S., Rabczuk, T.: Size-dependent free flexural vibration behavior of functionally graded nanoplates. Comput. Mater. Sci. 65, 74–80 (2012)10.1016/j.commatsci.2012.06.031 ↗