Applied Mathematics and Mechanics >
Dynamic behaviors of graphene platelets-reinforced metal foam piezoelectric beams with velocity feedback control
Received date: 2024-09-06
Revised date: 2024-11-27
Online published: 2025-01-03
Supported by
Project supported by the National Natural Science Foundation of China (Nos. 12102015 and 12472003) and the R&D Program of Beijing Municipal Education Commission of China (No. KM202110005030)
Copyright
Graphene platelets (GPLs)-reinforced metal foam structures enhance the mechanical properties while maintaining the lightweight characteristics of metal foams. Further bonding piezoelectric actuator and sensor layers on the surfaces of GPLs-reinforced metal foam beams enables active vibration control, greatly expanding their applications in the aerospace industry. For the first time, this paper investigates the vibration characteristics and active vibration control of GPLs-reinforced metal foam beams with surface-bonded piezoelectric layers. The constant velocity feedback scheme is used to design the closed-loop controller including piezoelectric actuators and sensors. The effects of the GPLs on the linear and nonlinear free vibrations of the beams are numerically studied. The Newmark-β method combined with Newton's iteration technique is used to calculate the nonlinear responses of the beams under different load forms including harmonic loads, impact loads, and moving loads. Additionally, special attention is given to the vibration reduction performance of the velocity feedback control on the responses of the beam.
Jie CHEN, Xinyue ZHANG, Mingyang FAN . Dynamic behaviors of graphene platelets-reinforced metal foam piezoelectric beams with velocity feedback control[J]. Applied Mathematics and Mechanics, 2025 , 46(1) : 63 -80 . DOI: 10.1007/s10483-025-3209-8
| [1] | SMITH, B. H., SZYNISZEWSKI, S., HAJJAR, J. F., SCHAFER, B. W., and ARWADE, S. R. Steel foam for structures: a review of applications, manufacturing and material properties. Journal of Constructional Steel Research, 71, 1–10 (2012) |
| [2] | RABIEI, A. and VENDRA, L. J. A comparison of composite metal foam's properties and other comparable metal foams. Materials Letters, 63(5), 533–536 (2009) |
| [3] | RAJENDRAN, R., SAI, K. P., CHANDRASEKAR, B., GOKHALE, A., and BASU, S. Preliminary investigation of aluminium foam as an energy absorber for nuclear transportation cask. Materials & Design, 29(9), 1732–1739 (2008) |
| [4] | AVALLE, M., BELINGARDI, G., and IBBA, A. Mechanical models of cellular solids: parameters identification from experimental tests. International Journal of Impact Engineering, 34(1), 3–27 (2007) |
| [5] | HASSANI, A., HABIBOLAHZADEH, A., and BAFTI, H. Production of graded aluminum foams via powder space holder technique. Materials & Design, 40, 510–515 (2012) |
| [6] | CHEN, D., YANG, J., and KITIPORNCHAI, S. Elastic buckling and static bending of shear deformable functionally graded porous beam. Composite Structures, 133, 54–61 (2015) |
| [7] | CHEN, D., YANG, J., and KITIPORNCHAI, S. Free and forced vibrations of shear deformable functionally graded porous beams. International Journal of Mechanical Sciences, 108-109, 14–22 (2016) |
| [8] | CHEN, D., KITIPORNCHAI, S., and YANG, J. Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core. Thin-Walled Structures, 107, 39–48 (2016) |
| [9] | OZBULUT, O. E., JIANG, Z., and HARRIS, D. K. Exploring scalable fabrication of self-sensing cementitious composites with graphene nanoplatelets. Smart Materials and Structures, 27(11), 115029 (2018) |
| [10] | WANG, Y., XIE, K., FU, T., and SHI, C. Vibration response of a functionally graded graphene nanoplatelet reinforced composite beam under two successive moving masses. Composite Structures, 209, 928–939 (2019) |
| [11] | ANTENUCCI, A., GUARINO, S., TAGLIAFERRI, V., and UCCIARDELLO, N. Electro-deposition of graphene on aluminium open cell metal foams. Materials & Design, 71, 78–84 (2015) |
| [12] | RAFIEE, M. A., RAFIEE, J., WANG, Z., SONG, H., YU, Z. Z., and KORATKAR, N. Enhanced mechanical properties of nanocomposites at low graphene content. ACS Nano, 3(12), 3884–3890 (2009) |
| [13] | LI, Z., YOUNG, R. J., WILSON, N. R., KINLOCH, I. A., VALLéS, C., and LI, Z. Effect of the orientation of graphene-based nanoplatelets upon the Young's modulus of nanocomposites. Composites Science and Technology, 123, 125–133 (2016) |
| [14] | KITIPORNCHAI, S., CHEN, D., and YANG, J. Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets. Materials & Design, 116, 656–665 (2017) |
| [15] | SUN, H. and CHEN, J. Vibration reduction of graphene reinforced porous nanocomposite beams under moving loads using a nonlinear energy sink. Engineering Structures, 321, 118997 (2024) |
| [16] | YANG, Z., LAI, S. K., YANG, J., LIU, A., and FU, J. Coupled dynamic instability of graphene platelet-reinforced dielectric porous arches under electromechanical loading. Thin-Walled Structures, 197, 111534 (2024) |
| [17] | SONG, J. P., SHE, G. L., and ELTAHER, M. A. Nonlinear aero-thermo-elastic flutter analysis of stiffened graphene platelets reinforced metal foams plates with initial geometric imperfection. Aerospace Science and Technology, 147, 109050 (2024) |
| [18] | GAN, L. L. and SHE, G. L. Nonlinear low-velocity impact of magneto-electro-elastic plates with initial geometric imperfection. Acta Astronautica, 214, 11–29 (2024) |
| [19] | GAN, L. L. and SHE, G. L. Nonlinear transient response of magneto-electro-elastic cylindrical shells with initial geometric imperfection. Applied Mathematical Modelling, 132, 166–186 (2024) |
| [20] | LUO, Y., ZHANG, X., ZHANG, Y., QU, Y., XU, M., FU, K., and YE, L. Active vibration control of a hoop truss structure with piezoelectric bending actuators based on a fuzzy logic algorithm. Smart Materials and Structures, 27(8), 085030 (2018) |
| [21] | CHEN, Y., WICKRAMASINGHE, V., and ZIMCIK, D. Experimental evaluation of the Smart Spring for helicopter vibration suppression through blade root impedance control. Smart Materials and Structures, 14(5), 1066 (2005) |
| [22] | WANG, X., XIA, P., and MASARATI, P. Active aeroelastic control of aircraft wings with piezo-composite. Journal of Sound and Vibration, 455, 1–19 (2019) |
| [23] | ARIDOGAN, U. and BASDOGAN, I. A review of active vibration and noise suppression of plate-like structures with piezoelectric transducers. Journal of Intelligent Material Systems and Structures, 26(12), 1455–1476 (2015) |
| [24] | SONG, Z. G. and LI, F. M. Active aeroelastic flutter analysis and vibration control of supersonic beams using the piezoelectric actuator/sensor pairs. Smart Materials and Structures, 20(5), 055013 (2011) |
| [25] | ZHANG, X. Y., CHEN, J., and ZHANG, W. Optimal placement of piezoelectric actuator/sensor pairs for active vibration control of beams with different boundary conditions. Mechanics Based Design of Structures and Machines, 1–18 (2024) https://doi.org/10.1080/15397734.2024.2404611 |
| [26] | MIRGHAFFARI, A. and RAHMANI, B. Active vibration control of carbon nanotube reinforced composite beams. Transactions of the Institute of Measurement and Control, 39(12), 1851–1863 (2016) |
| [27] | LI, H. N., WANG, W., LAI, S. K., YAO, L. Q., and LI, C. Nonlinear vibration and stability analysis of rotating functionally graded piezoelectric nanobeams. International Journal of Structural Stability and Dynamics, 24(9), 2450103 (2023) |
| [28] | LI, C., ZHU, C., LIM, C. W., and LI, S. Nonlinear in-plane thermal buckling of rotationally restrained functionally graded carbon nanotube reinforced composite shallow arches under uniform radial loading. Applied Mathematics and Mechanics (English Edition), 43(12), 1821–1840 (2022) https://doi.org/10.1007/s10483-022-2917-7 |
| [29] | MALEKZADEH, P., SETOODEH, A. R., and SHOJAEE, M. Vibration of FG-GPLs eccentric annular plates embedded in piezoelectric layers using a transformed differential quadrature method. Computer Methods in Applied Mechanics and Engineering, 340, 451–479 (2018) |
| [30] | NGUYEN, N. V., LEE, J., and NGUYEN-XUAN, H. Active vibration control of GPLs-reinforced FG metal foam plates with piezoelectric sensor and actuator layers. Composites Part B: Engineering, 172, 769–784 (2019) |
| [31] | EBRAHIMI, F. and HOSSEINI, S. H. S. Resonance analysis on nonlinear vibration of piezoelectric/FG porous nanocomposite subjected to moving load. The European Physical Journal Plus, 135(2), 215 (2020) |
| [32] | TRAN, H. Q., VU, V. T., and TRAN, M. T. Free vibration analysis of piezoelectric functionally graded porous plates with graphene platelets reinforcement by pb-2 Ritz method. Composite Structures, 305, 116535 (2023) |
| [33] | DONG, Y., LI, Y., LI, X., and YANG, J. Active control of dynamic behaviors of graded graphene reinforced cylindrical shells with piezoelectric actuator/sensor layers. Applied Mathematical Modelling, 82, 252–270 (2020) |
| [34] | ROBERTS, A. P. and GARBOCZI, E. J. Elastic moduli of model random three-dimensional closed-cell cellular solids. Acta Materialia, 49(2), 189–197 (2001) |
| [35] | INMAN, D. J. Vibration with Control, John Wiley & Sons, New York (2017) |
| [36] | WU, H. L., YANG, J., and KITIPORNCHAI, S. Nonlinear vibration of functionally graded carbon nanotube-reinforced composite beams with geometric imperfections. Composites Part B: Engineering, 90, 86–96 (2016) |
| [37] | KUMAR, K. R. and NARAYANAN, S. Active vibration control of beams with optimal placement of piezoelectric sensor/actuator pairs. Smart Materials and Structures, 17(5), 055008 (2008) |
| [38] | SONG, Z. G., ZHANG, L. W., and LIEW, K. M. Active vibration control of CNT reinforced functionally graded plates based on a higher-order shear deformation theory. International Journal of Mechanical Sciences, 105, 90–101 (2016) |
| [39] | WANG, Y. and CHEN, J. Nonlinear free vibration of rotating functionally graded graphene platelets reinforced blades with variable cross-sections. Engineering Analysis with Boundary Elements, 144, 262–278 (2022) |
| [40] | CHEN, D., YANG, J., and KITIPORNCHAI, S. Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams. Composites Science and Technology, 142, 235–245 (2017) |
| [41] | RAFIEE, M., YANG, J., and KITIPORNCHAI, S. Large amplitude vibration of carbon nanotube reinforced functionally graded composite beams with piezoelectric layers. Composite Structures, 96, 716–725 (2013) |
| [42] | ?IM?EK, M. Non-linear vibration analysis of a functionally graded Timoshenko beam under action of a moving harmonic load. Composite Structures, 92(10), 2532–2546 (2010) |
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