Abstract
As a novel vibration absorber, Nitinol-steel wire rope (NiTi-ST) has rarely been studied on vibration suppression for lattice sandwich beams in supersonic airflow. In this paper, NiTi-ST with nonlinear stiffness and hysteretic dam** is embedded in a lattice sandwich beam to control the beam's vibration. The nonlinear restoring and hysteretic dam** force of NiTi-ST are treated as polynomials. The dynamic equation is established based on Hamilton's principle. The amplitude responses of the beam with different NiTi-ST configurations are calculated. The vibration-suppression effects and energy dissipation of lattice sandwich beam with different NiTi-ST configurations under different air velocities are also compared. The frequency-domain and time-domain methods are used to analyze the structural aeroelastic properties. Simulation results show that the use of NiTi-ST can significantly suppress excessive vibration of a lattice sandwich beam in supersonic airflow.
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References
Lu TJ. Heat transfer efficiency of metal honeycombs. Int J Heat Mass Transf. 1999;42:2031–40.
Xue Z, Hutchinson JW. Preliminary assessment of sandwich plates subject to blast loads. Int J Mech Sci. 2003;45:687–705.
Queheillalt DT, Murty Y, Wadley HNG. Mechanical properties of an extruded pyramidal lattice truss sandwich structure. Scr Mater. 2008;58:76–9.
Dharmasena KP, Wadley HNG, Williams K, Xue ZY, Hutchinson JW. Response of metallic pyramidal lattice core sandwich panels to high intensity impulsive loading in air. Int J Impact Eng. 2011;38:275–89.
Cui XD, Zhao LM, Wang ZH, Zhao H, Fang DN. Dynamic response of metallic lattice sandwich structures to impulsive loading. Int J Impact Eng. 2012;43:1–5.
Lou J, Ma L, Wu LZ. Free vibration analysis of simply supported sandwich beams with lattice truss core. Mater Sci Eng B. 2012;177:1712–6.
Li FM, Lyu XX. Active vibration control of lattice sandwich beams using the piezoelectric actuator/sensor pairs. Compos B Eng. 2014;67:571–8.
Shiau LC, Lu LT. Nonlinear flutter of two-dimensional simply supported symmetric composite laminated plates. J Aircr. 1992;29:140–5.
Li FM, Song ZG. Flutter and thermal buckling control for composite laminated panels in supersonic flow. J Sound Vib. 2013;332:5678–95.
Zhang YW, Hou S, Zhang Z, Zang J, Ni ZY, Teng YY, Chen LQ. Nonlinear vibration absorption of laminated composite beams in complex environment. Nonlinear Dyn. 2020;99:2605–22.
Zang J, Cao RQ, Zhang YW, Fang B, Chen LQ. A lever-enhanced nonlinear energy sink absorber harvesting vibratory energy via giant magnetostrictive-piezoelectricity. Commun Nonlinear Sci Numer Simul. 2021;95:105620.
Zhang YW, Su C, Ni ZY, Zang J, Chen LQ. A multifunctional lattice sandwich structure with energy harvesting and nonlinear vibration control. Compos Struct. 2019;221:110875.
Ozbulut OE, Hurlebaus S, Desroches R. Seismic response control using shape memory alloys: a review. J Intell Mater Syst Struct. 2011;22:1531–49.
Lacarbonara W, Bernardini D, Vestroni F. Nonlinear thermomechanical oscillations of shape-memory devices. Int J Solids Struc. 2004;41:1209–34.
Bayat Y, EkhteraeiToussi H. A nonlinear study on structural dam** of SMA hybrid composite beam. Thin Wall Struct. 2019;134:18–28.
Carboni B, Mancini C, Lacarbonara W. Hysteretic beam model for steel wire ropes hysteresis:Identification. In: Mohamed Belhaq, editor. Structural Nonlinear Dynamics and Diagnosis. 2015;168:261–82.
Carboni B, Lacarbonara W, Auricchio F. Hysteresis of multiconfiguration assemblies of Nitinol and steel strands: experiments and phenomenological identification. J Eng Mech. 2015;141:04014135.
Carboni B, Lacarbonara W. Nonlinear dynamic characterization of a new hysteretic device: experiments and computations. Nonlinear Dyn. 2015;83:23–39.
Carboni B, Lacarbonara W. Dynamic response of nonlinear oscillators with hysteresis. Int Des Eng Tech Conf Comput Inf Eng Conf. 2015;6:11.
Brewick PT, Masri SF, Carboni B, Lacarbonara W. Data-based nonlinear identification and constitutive modeling of hysteresis in NiTiNOL and steel strands. J Eng Mech. 2016;142:04016107.
Carboni B, Lacarbonara W, Brewick PT, Masri SF. Dynamical response identification of a class of nonlinear hysteretic systems. J Intell Mater Syst Struct. 2018;29:2795–810.
Zhang YW, Xu KF, Zang J, Ni ZY, Zhu YP, Chen LQ. Dynamic design of a nonlinear energy sink with NiTiNOL-steel wire ropes based on nonlinear output frequency response functions. Appl Math Mech. 2019;40:1791–804.
Zheng LH, Zhang YW, Ding H, Chen LQ. Nonlinear vibration suppression of composite laminated beam embedded with NiTiNOL-steel wire ropes. Nonlinear Dyns. 2021;103:2391–407.
Prakash T, Ganapathi M. Supersonic flutter characteristics of functionally graded flat panels including thermal effects. Compos Struct. 2006;72:10–8.
Acknowledgements
The work presented in this paper was supported by the National Natural Science Foundation of China (Project Nos. 12022213 and 11902203) and Liaoning Educational Committee Scientific Research Project in General (JYT2020035).
Funding
National Natural Science Foundation of China, 12022213, Yewei Zhang, 11902203, Jian Zang.
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Zhang, Y., Chen, X., Li, D. et al. Aeroelastic Properties and Nonlinear Vibration Control of a Simply-Supported Lattice Sandwich Beam Embedded with Nitinol-Steel Wire Ropes. Acta Mech. Solida Sin. 35, 755–764 (2022). https://doi.org/10.1007/s10338-022-00318-3
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DOI: https://doi.org/10.1007/s10338-022-00318-3