Abstract
In this review paper, the research findings regarding the jump phenomena, vibration issue and a broad range of attenuation techniques for the issues in different dynamic systems are well succinct. In the field of dynamics, the interaction between the drive and the driven source is always an interesting point of research to perceive the characteristic of non-ideal vibrating systems. In this article, we broadly categorized the investigation and vibration attenuation techniques for different dynamic system into three types, namely optimization of the system design parameter, optimization of drive parameter and smart methods. In the first category, various research articles are briefed to deliver the optimization technique for foundation element parameters such as spring, damper and bearing to reduce heavy-duty vibration amplitude. In the second category, a bunch of research findings are described to showcase that optimizing the electrical input and drive torque may help to attenuate resonant vibration. In the third part, some smart methods like the use of a magnetic bearing, magneto-rheological damper and shape memory alloy to suppress the chaotic behavior of the system in the resonance region are addressed. Nowadays, practice of the smart technique is growing faster and it is an emerging research option for the attenuation of the vibration in highly dynamic systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Sommerfeld A (1902) Contributions to the dynamic expansion of strength theory. Phys J 3:266–284
Samantary A (2009) Steady-state dynamics of a non-ideal rotor with internal damping and gyroscopic effects. Nonlinear Dyn 56:443–451
Dasgupta S, Samantaray A, Bhattacharyya R (2010) Stability of an internally damped non-ideal flexible spinning shaft. Int J Non-Linear Mech 2010:286–293
Tsuchida M, Guilherme L, Balthazar M (2005) On chaotic vibrations of a non-ideal system with two degrees of freedom. J Sound Vibr 282:1201–1207
Tsuchida M, Guilherme K, Balthazar J, Silva G, Cheshankov B (2003) On regular and irregular vibrations of a non-ideal system with two degrees of freedom. 1:1 resonance. J Sound Vib 260:949–960
Sado D, Kot M (2007) Chaotic vibration of an autoparametrical system with a non ideal source of power. J Theor Appl Mech 45:119–131
El-badawy A (2007) Behavioural investigation of a nonlinear nonideal vibrating system. J Vib Control 13:203–217
Cveticanin L, Zukovic M, Cveticanin D (2017) Two degree of freedom oscillator coupled to a non-ideal source. Int J Non-Linear Mech 94:1–21
Bisoi A, Samantaray AK, Bhattacharyya R (2017) Sommerfeld effect in a two-disk rotor dynamic system at various unbalance conditions. Meccanica 53:681–701
Bisoi A, Samantaray AK, Bhattacharyya R (2017) Sommerfeld effect in a gyroscopic overhung rotor-disk system. Nonlinear Dyn 88(3):1565–1585
Zhang X, Li Z, Li M, Wen B (2020) Stability and sommerfeld effect of a vibrating system with two vibrator driven separately by induction motors. IEEE. https://doi.org/10.1109/TMECH.2020.3003029
Krasnopolskaya S (1994) Acoustic chaos caused by the sommerfeld effect. J Fluids Struct 8:803–815
Dantas H, Balthazar M (2003) On the appearance of a Hopf bifurcation in a non-ideal mechanical problem. Mech Res Commun 30:493–503
Bola R, Balthazar M, Felix P (2007) On an approximate analytical solution to non-linear vibrating problem excited by a non-ideal motor. Nonlinear Dyn 50:841–847
Mattos CM, Balthazar M (1999) On the dynamics of an armature controlled DC motor mounted on an elastically supported Table. In: 15th Brazilian Congress of Mechanical Engineering, Aguas de Lindoia, Sao Paulo, 22–26 Nov pp. 1–10
Munteanu L, Brisan C, Chiroiu V, Dumitriu D, Ioan R (2014) Chaos–hyperchaos transition in a class of models governed by sommerfeld effect. Nonlinear Dyn 78:1877–1889
Shad MR, Michon G, Berlioz A (2011) Modeling and analysis of nonlinear rotordynamics due to higher order deformations in bending. Appl Math Model 35:2145–2159
Jan A, Roman S, Grażyna S (2015) Decomposition of governing equations in the analysis of resonant response of a nonlinear and non-ideal vibrating system. Nonlinear Dyn 82:299–309
Asghari M, Hashemi M (2017) The couple stress-based nonlinear coupled three-dimensional vibration analysis of microspinning Rayleigh beams. Nonlinear Dyn 87:1315–1334
Hosseini S (2013) Dynamic stability and bifurcation of a nonlinear in-extensional rotating shaft with internal damping. Nonlinear Dyn 74:345–358
Lawrence NV, Josiah DK, Raymond HP (2016) A new method for predicting critical speeds in rotordynamics. J Eng Gas Turbines Power 138:22541–22546
Zhang X, Wen B, Zhao C (2016) Theoretical study on synchronization of two exciters in a nonlinear vibrating system with multiple resonant types. Nonlinear Dyn 85:141–154
Dimentberg MF, McGovern L, Norton R, Chapdelaine J, Harrison R (1997) Dynamics of an unbalanced shaft interacting with a limited power supply. Nonlinear Dyn 13:171–187
Gu P, Dubowsky S, Mavroidis C (1998) The design implication of chaotic and near chaotic vibrations in machines. In: Proceeding of the 1998 ASME design technical conferences, Atlanta, GA. 13–16 Sept, pp 1–11
Goncalves PJP, Silveira M, Petrocino EA, Balthazar JM (2016) Double resonance capture of a two degree of freedom oscillator coupled to a non-ideal motor. Meccanica 51:2203–2214
Gonçalves P, Silveira M, Junior B, Balthazar J (2014) The dynamic behavior of a cantilever beam coupled to an on-ideal unbalanced motor through numerical and experimental analysis. J Sound Vib 333:5115–5129
Sinha A, Bharti S, Samantary A, Bhattacharya R (2020) Sommerfeld effect in a single-DOF system with base excitation from motor driven mechanism. Mech Mach Theory 148:103–108
Kovriguine DA (2012) Synchronization and sommerfeld effect as typical resonant patterns. Arch Appl Mech 82:591–604
Alexander F, Drozdetskaya O (2016) On the averaging in strongly damped systems: the general approach and its application to asymptotic analysis of the Sommerfeld effect. In: IUTAM 19 symposium analytical methods in nonlinear dynamics, vol. 43, pp 43–52
Zukovic M, Cveticanin L (2009) Chaos in non-ideal mechanical system with clerance. J Vib Control 15(8):1229–1246
Varanis M, Balthazar J, Silva A, Mereles A, Pederiva R (2018) Remark on sommerfeld effect characterization in the wavelet domain. J Vib Control 1–11
Arbex H, Balthazar J, Pontes jr B, Brasil R, Felix J, Tusset A, Bueno A (2014) On nonlinear dynamics nehaviour and control of a new model of magnetically leitated vibrating system excited by an unbalanced DC motor of limited power supply. Brazilizn Soc Mech Sci Eng 37:1139–1150
Felix J, Balthazar JM, Brasil R (2009) Comments on nonlinear dynamics of a non-ideal duffing- rayleigh oscillator: Numerical and analytical approaches. J Sound Vib 319:1136–1149
Cveticanin L, Zukovic M (2015) Non-ideal mechanical system with an oscillator with rational nonlinearity. J Vib Control 21:2149–2164
Shina A, Samantarya AK, Bharti SK, Bhattacharya R (2018) Sommerfeld effect and passive energy reallocation in self synchronizing system. ASME, pp 1–10
Frolov KV, Krasnopolskaya TS (1988) Sommerfeld effect in system without internal damping. Plenum Publishing Corporation 23:19–24
Jha AK, Dasgupta SS (2020) Suppression of sommerfeld effect in a non-ideal discrete rotor system with fractional order external damping. Europian J Mech 79(103873)
Fernando HM, Bento RP, Silveira M (2013) Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system. J Theor Appl Mech 51:763–774
Karthikeyan M, Bisoi A, Samantaray A, Bhattacharyya R (2015) Sommerfeld effect characterization in rotors with non-ideal drive from ideal drive response and power balance. Mech Mach Theory 91:269–288
Iwatsubo T, Kanki H, Kawai R (1972) Vibration of asymmetric rotor through critical speed with limited power supply. J Mech Eng Sci 14(3):184–194
Bisoi A, Samantaray A, Bhattacharyya R (2017) Control strategies for DC motors driving rotor dynamic systems through resonance. J Sound Vib 411:304–327
Bisoi A, Samantaray AK, Bhattacharyya R (2014) Sommerfeld effect characterisation in multi-disk rotor dynamic system with non-ideal drive through semi-analytical methods. In: Proceedings of ICTACEM, IIT Kharagpur
Bharti SK, Bisoi A, Sinha A, Samantaray A, Bhattacharyya R (2019) Sommerfeld effect at forward and backward critical speeds in a rigid rotor shaft system with anisotropic supports. J Sound Vib 442:330–349
Tusset AM, Balthazar JM, Felix J (2012) On elimination of chaotic behaviour in a non-ideal portal frame structural system using both passive and active controls. J Vib Control 19(6):803–813
Shina A, Bharati SK, Samantary AK, Chakraborty G, Bhattaharya R (2018) Sommerfeld effect in an oscillator with a reciprocating mass. Nonlinear Dyn 93:1719–1739
Fradkov A, Tomchina O, Tomchin D (2011) Controlled passage through resonance in mechanical systems. J Sound Vib 330:1065–1073
Cveticanin L, Zukovic M (2015) Motion of a motor-structure non-ideal system. European J Mech A/Solids 53:229–240
Castao KA, Goes LC, Balthazar JM (2010) A note on the attenuation of the sommerfeld effect of a non-ideal system taking into account a MR damper and the complete model of a DC motor. 17(7):1112–1118
Piccirillo V, Tusset AM (2014) Dynamical jump attenuation in a non-ideal system through a magnetorheological damper. J Theor Through Magnetorheological Damper 52:595–604
Wauer J, Suherman S (1997) Vibration suppression of rotating shafts passing through resonances by switching shaft stiffness. J Vib Acoust 120:170–180
Wu X, Naugle C, Meagher J (2016) A full spectrum analysis methodology applied to an anisotropic overhung rotor. J Appl Mech Eng 5:1–10
Jha AK, Dasgupta SS (2019) Attenuation of sommerfeld effect in an internally damped eccentric shaft-disk system via active magnetic bearings. Meccanica 54:311–320
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Ansari, M.A., Meher, P.K., Bisoi, A., Biswas, A. (2023). A Review: High Amplitude Vibration and Jump Phenomena Attenuation Methods in Different Dynamic Systems. In: Sudarshan, T.S., Pandey, K.M., Misra, R.D., Patowari, P.K., Bhaumik, S. (eds) Recent Advancements in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-3266-3_28
Download citation
DOI: https://doi.org/10.1007/978-981-19-3266-3_28
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-19-3265-6
Online ISBN: 978-981-19-3266-3
eBook Packages: EngineeringEngineering (R0)