Abstract
In many applications, installing an absorber/tuned mass damper (TMD) is an effective method of vibration control. To overcome the drawbacks of traditional TMDs and improve the overall performance, a bio-inspired structure (X-shaped structure) is used for a tunable and nonlinear TMD (X-absorber). In this study, multi-variable optimization, tunable stiffness and damping properties, nonlinear influence and vibration suppression performance of this novel X-absorber are systematically studied. Compared with traditional absorbers this X-absorber can provide beneficial nonlinear damping which can significantly improve system parametric robustness, tunable quasi-zero stiffness for a widen vibration suppression bandwidth with a widened anti-resonance, effectively suppress resonant peaks of ultra-low frequencies, and eliminate potential instabilities (e.g., bifurcation, detached resonance curves) inherently existing in Duffing oscillators. In the experimental testing, the robustness and effectiveness of the optimized X-absorber with different excitations are validated with comparison of a traditional spring-mass absorber. The X-absorber would provide a more reliable and flexible solution to many vibration suppression applications.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Den H (1956) Mechanical vibrations, 4th edn. McGraw-Hill Book Co., Inc., New York
Toshihiko A, Osamu N, Amr B (2002) Analytical solutions to H∞ and H2 optimization of dynamic vibration absorbers attached to damped linear systems. J Vib Acoust 124(2):284–295
Giuseppe CM, Rita G, Bernardino C (2010) A comparison between different optimization criteria for tuned mass dampers design. J Sound Vib 329(23):4880–4890
Nicola C, Walter L, Fabrizio V (2014) Hysteretic tuned mass dampers for structural vibration mitigation. J Sound Vib 333(5):1302–1318
Richard E, Andrew D, Satish N (2014) Numerical investigation of coexisting high and low amplitude responses and safe basin erosion for a coupled linear oscillator and nonlinear absorber system. J Sound Vib 333(15):3490–3504
Yang J, Xiong YP, Xing JT (2014) Power flow behaviour and dynamic performance of a nonlinear vibration absorber coupled to a nonlinear oscillator. Nonlinear Dyn 80(3):1063–1079. https://doi.org/10.1007/s11071-014-1556-1
Krzysztof K (2018) Assessment of energy harvesting and vibration mitigation of a pendulum dynamic absorber. Mech Syst Signal Process 106:198–209
Shum KM (2015) Tuned vibration absorbers with nonlinear viscous damping for damped structures under random load. J Sound Vib 346:70–80
Kim S-Y, Lee C-H (2019) Peak response of frictional tuned mass dampers optimally designed to white noise base acceleration. Mech Syst Signal Process 117:319–332
Kim S-Y, Lee C-H (2020) Analysis and optimization of multiple tuned mass dampers with coulomb dry friction. Eng Struct 209:110011. https://doi.org/10.1016/j.engstruct.2019.110011
Rüdinger F (2007) Tuned mass damper with nonlinear viscous damping. J Sound Vib 300(3–5):932–948
Hunt JB, Nissen LC (1982) The broadband dynamic vibration absorber. J Sound Vib 83(4):573–578
Viguié R, Kerschen G (2010) On the functional form of a nonlinear vibration absorber. J Sound Vib 329(25):5225–5232
Detroux T, Habib G, Masset L, Kerschen G (2015) Performance, robustness and sensitivity analysis of the nonlinear tuned vibration absorber. Mech Syst Signal Process 60–61:799–809
Viguié R, Kerschen G (2009) Nonlinear vibration absorber coupled to a nonlinear primary system: a tuning methodology. J Sound Vib 326(3–5):780–793
Habib G, Detroux T, Viguié R, Kerschen G (2015) Nonlinear generalization of Den Hartog's equal-peak method. Mech Syst Signal Process 52–53:17–28
Habib G, Kerschen G (2016) A principle of similarity for nonlinear vibration absorbers. Physica D 332:1–8
Habib G, Kádár F, Papp B (2019) Impulsive vibration mitigation through a nonlinear tuned vibration absorber. Nonlinear Dyn 98(3):2115–2130. https://doi.org/10.1007/s11071-019-05312-y
Til J, Alijani F, Voormeeren SN, Lacarbonara W (2019) Frequency domain modeling of nonlinear end stop behavior in Tuned Mass Damper systems under single- and multi-harmonic excitations. J Sound Vib 438:139–152
Wang J, Wierschem NE, Wang B, Spencer BF (2019) Multi‐objective design and performance investigation of a high‐rise building with track nonlinear energy sinks. Struct Des Tall Spec Build 29(2)
Jian Z, Ye-Wei Z, Hu D, Tian-Zhi Y, Li-Qun C (2019) The evaluation of a nonlinear energy sink absorber based on the transmissibility. Mech Syst Signal Process 125:99–122
Chen H-Y, Mao X-Y, Ding H, Chen L-Q (2020) Elimination of multimode resonances of composite plate by inertial nonlinear energy sinks. Mech Syst Signal Process 135
Wang J, Wang B, Liu Z, Zhang C, Li H (2020) Experimental and numerical studies of a novel asymmetric nonlinear mass damper for seismic response mitigation. Struct Control Health Monit 27(4)
Yu B, Luo ACJ (2019) Steady state performance of a nonlinear vibration absorber on vibration reduction of a harmonically forced oscillator. Eur Phys J Spec Top 228(9):1823–1837. https://doi.org/10.1140/epjst/e2019-800245-y
Chen Y, Qian Z, Chen K, Ping T, Tesfamariam S (2019) Seismic performance of a nonlinear energy sink with negative stiffness and sliding friction. Struct Control Health Monit 26(11)
De Domenico D, Predaricka D, Giuseppe R, Neil DS, David JW (2019) Novel fluid inerter based tuned mass dampers for optimised structural control of base-isolated buildings. J Franklin Inst 356(14):7626–7649
Guangxu D, Qiang L, Xinong Z (2019) Vibration attenuation using a nonlinear dynamic vibration absorber with negative stiffness. Int J Appl Electromagnet Mech 59(2):617–628
Min S, Jianen C (2018) Dynamics of nonlinear primary oscillator with nonlinear energy sink under harmonic excitation: effects of nonlinear stiffness. Math Probl Eng 2018:1–13
Chang Y, Zhou J, Wang K, Daolin X (2021) A quasi-zero-stiffness dynamic vibration absorber. J Sound Vib 494:115859. https://doi.org/10.1016/j.jsv.2020.115859
Benacchio S, Malher A, Boisson J, Touzé C (2016) Design of a magnetic vibration absorber with tunable stiffnesses. Nonlinear Dyn 85(2):893–911
Barredo E, Larios JGM, Mayén J, Flores-Hernández AA, Colin J, Montiel MA (2019) Optimal design for high-performance passive dynamic vibration absorbers under random vibration. Eng Struct 195:469–489
De Dario D, Giuseppe R (2018) An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI). Earthquake Eng Struct Dynam 47(5):1169–1192
Mina G, Giuseppe F, Felice A (2019) Vibration mitigation in offshore wind turbines via tuned mass damper. Eng Struct 183:610–636
Wu Z, Jing X, Bian J, Li F, Allen R (2015) Vibration isolation by exploring bio-inspired structural nonlinearity. Bioinspir Biomim 10(5):056015
Jing B, Xingjian J (2019) Superior nonlinear passive damping characteristics of the bio-inspired limb-like or X-shaped structure. Mech Syst Signal Process 125:21–51
Xiao F, Xingjian J (2019) Human body inspired vibration isolation: beneficial nonlinear stiffness, nonlinear damping & nonlinear inertia. Mech Syst Signal Process 117:786–812
Behrooz F, Abbas A (2011) Development of a chaotic nonlinear tuned mass damper for optimal vibration response. Commun Nonlinear Sci Numer Simul 16(11):4514–4523
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Bian, J., Jing, X., Tian, Y. (2022). A X-Shaped Nonlinear Tuned Mass Damper with Multi-variable Optimization. In: Jing, X., Ding, H., Wang, J. (eds) Advances in Applied Nonlinear Dynamics, Vibration and Control -2021. ICANDVC 2021. Lecture Notes in Electrical Engineering, vol 799. Springer, Singapore. https://doi.org/10.1007/978-981-16-5912-6_78
Download citation
DOI: https://doi.org/10.1007/978-981-16-5912-6_78
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-5911-9
Online ISBN: 978-981-16-5912-6
eBook Packages: EngineeringEngineering (R0)