[1] GEORGIADES, F. and VAKAIS, A. F. Dynamics of a linear beam with an attached local nonlinear energy sink. Communications in Nonlinear Science and Numerical Simulation, 12, 643-651(2007) [2] GENDELMAN, O. V. Targeted energy transfer in systems with external and self-excitation. Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science, 225, 2007-2043(2011) [3] KERSCHEN, G., LEE, Y. S., VAKAKIS, A. F., MCFARLAND, D. M., and BERGMAN, L. A. Irreversible passive energy transfer in coupled oscillators with essential nonlinearity. SIAM Journal on Applied Mathematics, 66, 648-679(2006) [4] GENDELMAN, O. V. Analytic treatment of a system with a vibro-impact nonlinear energy sink. Journal of Sound and Vibration, 331, 4599-4608(2012) [5] GOURC, E., MICHON, G., SEGUY, S., and BERLIOZ, A. Targeted energy transfer under harmonic forcing with a vibro-impact nonlinear energy sink:analytical and experimental developments. Journal of Vibration and Acoustics, 137, 031008(2015) [6] LI, T., GOURC, E., SEGUY, S., and BERLIOZ, A. Dynamics of two vibro-impact nonlinear energy sinks in parallel under periodic and transient excitations. International Journal of NonLinear Mechanics, 90, 100-110(2017) [7] NUCERA, F., IACONO, F. L., MCFARLAND, D. M., BERGMAN, L. A., and VAKAKIS, A. F. Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame:experimental results. Journal of Sound and Vibration, 313, 57-76(2008) [8] WEI, Y. M., WEI, S., ZHANG, Q. L., DONG, X. J., PENG, Z. K., and ZHANG, W. M. Targeted energy transfer of a parallel nonlinear energy sink. Applied Mathematics and Mechanics (English Edition), 40(5), 621-630(2019) https://doi.org/10.1007/s10483-019-2477-6 [9] SAEED, A. S., AL-SHUDEIFAT, M. A., and VAKAKIS, A. F. Rotary-oscillatory nonlinear energy sink of robust performance. International Journal of Non-Linear Mechanics, 117, 103249(2019) [10] GEORGIADES, F., VAKAKIS, A. F., MCFARLAND, D. M., and BERGMAN, L. A. Shock isolation through passive energy pumping caused by nonsmooth nonlinearities. International Journal of Bifurcation and Chaos, 15, 1989-2001(2005) [11] GENDELMAN, O. V. Targeted energy transfer in systems with non-polynomial nonlinearity. Journal of Sound and Vibration, 315, 732-745(2008) [12] LAMARQUE, C. H., SAVADKOOHI, A. T., CHARLEMAGNE, S., and ABDOULHADI, P. Nonlinear vibratory interactions between a linear and a non-smooth forced oscillator in the gravitational field. Mechanical System and Signal Processing, 89, 131-148(2017) [13] STAROSVETSKY, Y. and GENDELMAN, O. V. Vibration absorption in systems with a nonlinear energy sink:nonlinear damping, Journal of Sound and Vibration, 324, 916-939(2009) [14] CHEN, J. E., SUN, M., HU, W. H., ZHANG, J. H., and WEI, Z. C. Performance of non-smooth nonlinear energy sink with descending stiffness. Nonlinear Dynamics, 100, 255-267(2020) [15] BENACCHIO, S., MALHER, A., BOISSON, J., and TOUZE, C. Design of a magnetic vibration absorber with tunable stiffnesses. Nonlinear Dynamics, 85, 893-911(2016) [16] FEUDO, S. L., TOUZE, C., BOISSON, J., and CUMUNEL, G. Nonlinear magnetic vibration absorber for passive control of a multi-storey structure. Journal of Sound and Vibration, 438, 33-53(2019) [17] AL-SHUDEIFAT, M. A. Asymmetric magnet-based nonlinear energy sink. Journal of Computational and Nonlinear Dynamics, 10, 014502(2015) [18] ROMEO, F., SIGALOV, G., BERGMAN, L. A., and VAKAKIS, A. F. Dynamics of a linear oscillator coupled to a bistable light attachment:numerical study. Journal of Computational and Nonlinear Dynamics, 10, 011007(2015) [19] FANG, X., WEN, J. H., YIN, J. F., and YU, D. L. Highly efficient continuous bistable nonlinear energy sink composed of a cantilever beam with partial constrained layer damping. Nonlinear Dynamics, 87, 2677-2695(2017) [20] YAO, H. L., WANG, Y. W., CAO, Y. B., and WEN, B. C. Multi-stable nonlinear energy sink for rotor system. International Journal of Non-Linear Mechanics, 118, 103273(2020) [21] BENAROUS, N. and GENDELMAN, O. V. Nonlinear energy sink with combined nonlinearities: [22] GENDELMAN, O. V., SIGALOV, G., MANEVITCH, L. I., MANE, M., VAKAKIS, A. F., and BERGMAN, L. A. Dynamics of an eccentric rotational nonlinear energy sink. Journal of Applied Mechanics, 79, 011012(2012) [23] ZHANG, Y. W., LU, Y. N., ZHANG, W., TENG, Y. Y., YANG, H. X., YANG, T. Z., and CHEN, L. Q. Nonlinear energy sink with inerter. Mechanical Systems and Signal Processing, 125, 52-64(2019) [24] JAVIDIALESAADI, A. and WIERSCHEM, N. E. An inerter-enhanced nonlinear energy sink. Mechanical Systems and Signal Processing, 129, 449-454(2019) [25] ZHANG, Z., LU, Z. Q., DING, H., and CHEN, L. Q. An inertial nonlinear energy sink. Journal of Sound and Vibration, 450, 199-213(2019) [26] TSAKIRTZIS, S., PANAGOPOULOS, P. N., KERSCHEN, G., GENDELMAN, O., VAKAKIS, A. F., and BERGMAN, L. A. Complex dynamics and targeted energy transfer in linear oscillators coupled to multi-degree-of-freedom essentially nonlinear attachments. Nonlinear Dynamics, 48, 285-318(2007) [27] WIERSCHEM, N. E., LUO, J., AL-SHUDEIFAT, M., HUBBARD, S., OTT, R., FAHNESTOCK, L. A., QUINN, D. D., MCFARLAND, D. M., SPENCER, B. F., VAKAKIS, A. F., and BERGMAN, L. A. Experimental testing and numerical simulation of a six-story structure incorporating two-degree-of-freedom nonlinear energy sink. Journal of Structural Engineering, 140, 04014027(2014) [28] CHARLEMAGNE, S., LAMARQUE, C. H., and SAVADKOOHI, A. T. Vibratory control of a linear system by addition of a chain of nonlinear oscillators. Acta Mechanica, 228, 3111-3133(2017) [29] GRINBERG, I., LANTON, V., and GENDELMAN, O. V. Response regimes in linear oscillator with 2DOF nonlinear energy sink under periodic forcing. Nonlinear Dynamics, 69, 1889-1902(2012) [30] LEE, Y. S., VAKAKIS, A. F., BERGMAN, L. A., MCFARLAND, D. M., and KERSCHEN, G. Enhancing the robustness of aeroelastic instability suppression using multi-degree-of-freedom nonlinear energy sinks. AIAA Journal, 46, 1371-1394(2008) [31] TAGHIPOUR, J. and DARDEL, M. Steady state dynamics and robustness of a harmonically excited essentially nonlinear oscillator coupled with a two-DOF nonlinear energy sink. Mechanical Systems and Signal Processing, 62-63, 164-182(2015) [32] VAURIGAUD, B., SAVADKOOHI, A. T., and LAMARQUE, C. H. Targeted energy transfer with parallel nonlinear energy sinks. Part I:design theory and numerical results. Nonlinear Dynamics, 66, 763-780(2011) [33] ZHANG, Y. W., ZHANG, Z., CHEN, L. Q., YANG, T. Z., FANG, B., and ZANG, J. Impulseinduced vibration suppression of an axially moving beam with parallel nonlinear energy sinks. Nonlinear Dynamics, 82, 61-71(2015) [34] CHEN, J. E., HE, W., ZHANG, W., YAO, M. H., LIU, J., and SUN, M. Vibration suppression and higher branch responses of beam with parallel nonlinear energy sinks. Nonlinear Dynamics, 91, 885-904(2018) [35] DING, H. and CHEN, L. Q. Designs, analysis, and applications of nonlinear energy sinks. Nonlinear Dynamics, 100, 3061-3107(2020) [36] ZHANG, Y. W., XU. K. F., ZANG, J., NI, Z. Y., ZHU, Y. P., and CHEN, L. Q. Dynamic design of a nonlinear energy sink with NiTiNOL-steel wire ropes based on nonlinear output frequency response functions. Applied Mathematics and Mechanics (English Edition), 40(6), 1791-1804(2019) https://doi.org/10.1007/s10483-019-2548-9 [37] GENG, X. F., DING, H., WEI, K. X., and CHEN, L. Q. Suppression of multiple modal resonances of a cantilever beam by an impact damper. Applied Mathematics and Mechanics (English Edition), 41(7), 383-400(2020) https://doi.org/10.1007/s10483-020-2588-9 [38] XUE, J. R., ZHANG, Y. W., DING, H., and CHEN, L. Q. Vibration reduction evaluation of a linear system with a nonlinear energy sink under a harmonic and random excitation. Applied Mathematics and Mechanics (English Edition), 41(7), 1-14(2020) https://doi.org/10.1007/s10483-020-2560-6 [39] AHMADABADI, Z. N. Nonlinear energy transfer from an engine crankshaft to an essentially nonlinear attachment. Journal of Sound and Vibration, 443, 139-154(2019) [40] TAGHIPOUR, J., DARDEL, M., and PASHAEI, M. H. Vibration mitigation of a nonlinear rotor system with linear and nonlinear vibration absorbers. Mechanism and Machine Theory, 128, 586-615(2018) [41] TIAN, W., LI, Y. M., LI, P., YANG, Z. C., and ZHAO, T. Passive control of nonlinear aeroelasticity in hypersonic 3-D wing with a nonlinear energy sink. Journal of Sound and Vibration, 462, 114942(2019) [42] YANG, K., ZHANG, Y. W., DING, H., and CHEN, L. Q. Nonlinear energy sink for wholespacecraft vibration reduction. Journal of Vibration and Acoustics, 139, 021011(2017) [43] YANG, T. Z., LIU, T., TANG, Y., HOU, S., and LV, X. F. Enhanced targeted energy transfer for adaptive vibration suppression of pipes conveying fluid. Nonlinear Dynamics, 97, 1937-1944(2019) [44] ZHOU, K., XIONG, F. R., JIANG, N. B., DAI, H. L., YAN, H., WANG, L., and NI, Q. Nonlinear vibration control of a cantilevered fluid-conveying pipe using the idea of nonlinear energy sink. Nonlinear Dynamics, 95, 1435-1456(2019) [45] CHEN, H. Y., MAO, X. Y., DING, H., and CHEN, L. Q. Elimination of multimode resonances of composite plate by inertial nonlinear energy sinks. Mechanical Systems and Signal Processing, 135, 106383(2020) [46] HUANG, D. M., LI, R. H., and YANG, G. D. On the dynamic response regimes of a viscoelastic isolation system integrated with a nonlinear energy sink. Communications in Nonlinear Science and Numerical Simulation, 79, 104916(2019) [47] LI, X., ZHANG, Y. W., DING, H., and CHEN, L. Q. Integration of a nonlinear energy sink and a piezoelectric energy harvester. Applied Mathematics and Mechanics (English Edition), 38(7), 1019-1030(2017) https://doi.org/10.1007/s10483-017-2220-6 [48] NUCERA, F., VAKAKIS, A. F., MCFARLAND, D. M., BERGMAN, L. A., and KERSCHEN, G. Targeted energy transfers in vibro-impact oscillators for seismic mitigation. Nonlinear Dynamics, 50, 651-677(2007) [49] AHMADI, M., ATTARI, N. K. A., and SHAHROUZI, M. Structural seismic response mitigation using optimized vibro-impact nonlinear energy sinks. Journal of Earthquake Engineering, 19, 193-219(2015) [50] WANG, J. J., WANG, B., LIU, Z. B., ZHANG, C., and LI, H. B. Experimental and numerical studies of a novel asymmetric nonlinear mass damper for seismic response mitigation. Structural Control and Health Monitoring, 27, e2513(2020) [51] CHEN, Y. Y., QIAN, Z. C., ZHAO, W., and CHANG, C. M. A magnetic bi-stable nonlinear energy sink for structural seismic control. Journal of Sound and Vibration, 473, 115233(2020) enhanced mitigation of vibrations and amplitude locking phenomenon. Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science, 230, 21-33(2016) |