@article{MTMT:32510579, title = {Effect of axial force on the stability of milling: Local bifurcations around stable islands}, url = {https://m2.mtmt.hu/api/publication/32510579}, author = {Béri, Bence and Stépán, Gábor}, doi = {10.1177/10775463211048256}, journal-iso = {J VIB CONTROL}, journal = {JOURNAL OF VIBRATION AND CONTROL}, volume = {29}, unique-id = {32510579}, issn = {1077-5463}, abstract = {In this paper, the stability properties of milling processes are presented when the axial component of the cutting force is also taken into account as a compressive force acting on the cutting tool. The mechanism of the material removal operation is described by a one degree-of-freedom oscillator subjected to the so-called surface regeneration effect. This can be represented mathematically by a nonlinear, time-periodic, delay differential equation. The regenerative compression affects the natural frequency of the system, which is modelled through the lateral stiffness variation of the bearing support of the main spindle. This extension of the general milling model leads to the birth of stable islands within the originally unstable parameter domain. Since the exploitation of these regions may open new ways in practice for increasing the efficiency of machining, the domain of attraction is investigated qualitatively near the stability boundaries of the stable island by means of a semi-analytical method.}, year = {2023}, eissn = {1741-2986}, pages = {440-452}, orcid-numbers = {Béri, Bence/0000-0002-3559-2865; Stépán, Gábor/0000-0003-0309-2409} } @article{MTMT:33917013, title = {Highly Sensitive Nonlinear Identification to Track Early Fatigue Signs in Flexible Structures}, url = {https://m2.mtmt.hu/api/publication/33917013}, author = {Habtour, Ed and Di Maio, Dario and Masmeijer, Thijs and Gonzalez, Laura Cordova and Tinga, Tiedo}, doi = {10.1115/1.4052420}, journal = {Journal of Nondestructive Evaluation, Diagnostics and Prognostics of Engineering Systems}, volume = {5}, unique-id = {33917013}, issn = {2572-3901}, abstract = {This study describes a physics-based and data-driven nonlinear system identification (NSI) approach for detecting early fatigue damage due to vibratory loads. The approach also allows for tracking the evolution of damage in real-time. Nonlinear parameters such as geometric stiffness, cubic damping, and phase angle shift can be estimated as a function of fatigue cycles, which are demonstrated experimentally using flexible aluminum 7075-T6 structures exposed to vibration. NSI is utilized to create and update nonlinear frequency response functions, backbone curves and phase traces to visualize and estimate the structural health. Findings show that the dynamic phase is more sensitive to the evolution of early fatigue damage than nonlinear parameters such as the geometric stiffness and cubic damping parameters. A modified Carrella-Ewins method is introduced to calculate the backbone from nonlinear signal response, which is in good agreement with the numerical and harmonic balance results. The phase tracing method is presented, which appears to detect damage after approximately 40% of fatigue life, while the geometric stiffness and cubic damping parameters are capable of detecting fatigue damage after approximately 50% of the life-cycle.}, keywords = {NONLINEAR DYNAMICS; diagnostics; Signal processing; Detection; system identification; High-order; early fatigue; phase tracing}, year = {2022}, eissn = {2572-3898}, orcid-numbers = {Habtour, Ed/0000-0002-9083-9285; Tinga, Tiedo/0000-0001-6600-5099} } @article{MTMT:33344948, title = {Finite-amplitude stability in regenerative chatter: The effect of process damping nonlinearity and intermittent cutting in turning}, url = {https://m2.mtmt.hu/api/publication/33344948}, author = {Mohammadi, Yaser and Ahmadi, Keivan}, doi = {10.1016/j.jsv.2022.117158}, journal-iso = {J SOUND VIB}, journal = {JOURNAL OF SOUND AND VIBRATION}, volume = {537}, unique-id = {33344948}, issn = {0022-460X}, abstract = {The damping forces generated at the tool and workpiece interface, known as process damping, greatly influence the dynamics of regenerative chatter in machining. In addition to the increased stability against chatter at low cutting speeds, which is the well-known effect of process damping, post-chatter dynamics are also affected significantly by process damping nonlinearity, which is the less-studied effect of this phenomenon. Once the process vibrations become unstable after chatter occurrence, the process becomes intermittent in the sense that the tool loses contact with the workpiece and they are no longer in continuous engagement due to large-amplitude chatter vibrations. When vibration amplitudes are relatively large, process damping nonlinearity is shown to create stable limit cycles around which vibrations stabilize at a finite-amplitude. The relationship between the amplitude of the resulting limit cycles and the applied machining parameters is only known approximately from simplified models. Besides, the bifurcation of the resulting limit cycles by machining parameters such as cutting depth and spindle speed has not been studied. In this work, we use numerical continuation to develop the bifurcation diagrams of an SDOF model of regenerative chatter that includes process damping nonlinearity and non-smooth dynamics due to the disengagement of the tool and workpiece in post-chatter large-amplitude oscillations. The developed bifurcation diagrams accurately determine the relationship between the applied machining parameters and the amplitude of the resulting limit cycles. They also show that the stable limit cycles lose their stability by a subcritical non-smooth fold bifurcation when the amplitude is large enough to cause tool-workpiece disengagement. We also show that the static forces in the process, which are normally neglected in existing studies, become dynamic due to the intermittent tool-workpiece disengagement and alter the nature of limit cycle bifurcations. The findings of this study are validated numerically and by comparison to experimental results.}, keywords = {bifurcations; NONLINEARITY; CHATTER; process damping; Intermittent cutting}, year = {2022}, eissn = {1095-8568} } @article{MTMT:33344951, title = {Controlling coexisting attractors of a class of non-autonomous dynamical systems}, url = {https://m2.mtmt.hu/api/publication/33344951}, author = {Zhang, Zhi and Paez Chavez, Joseph and Sieber, Jan and Liu, Yang}, doi = {10.1016/j.physd.2021.133134}, journal-iso = {PHYSICA D: NONLINEAR PEHONOM}, journal = {PHYSICA D: NONLINEAR PHENOMENA}, volume = {431}, unique-id = {33344951}, issn = {0167-2789}, abstract = {This paper studies a control method for switching stable coexisting attractors of a class of non autonomous dynamical systems. The central idea is to introduce a continuous path for the system's trajectory to transition from its original undesired stable attractor to a desired one by varying one of the system parameters according to the information of the desired attractor. The behaviour of the control is studied numerically for both non-smooth and smooth dynamical systems, using a soft-impact and a Duffing oscillators as examples. Special attention is given to identify the parametric regions where the proposed control strategy is applicable by using path-following methods implemented via the continuation platform COCO. It is shown that the proposed control concept can be implemented through either using an external control input or varying a system parameter. Finally, extensive numerical results are presented to validate the proposed control methods. (C) 2021 The Author(s). Published by Elsevier B.V.}, keywords = {control; Multistability; coexisting attractors; Non-smooth dynamical systems; Smooth dynamical systems}, year = {2022}, eissn = {1872-8022}, orcid-numbers = {Paez Chavez, Joseph/0000-0002-7322-9856; Sieber, Jan/0000-0002-9558-1324; Liu, Yang/0000-0003-3867-5137} } @article{MTMT:31800524, title = {Emulating bistabilities in turning to devise gain tuning strategies to actively damp them using a hardware-in-the-loop simulator}, url = {https://m2.mtmt.hu/api/publication/31800524}, author = {Sahu, G.N. and Jain, P. and Wahi, P. and Law, M.}, doi = {10.1016/j.cirpj.2020.11.004}, journal-iso = {CIRP J MANUF SCI TECHNOL}, journal = {CIRP JOURNAL OF MANUFACTURING SCIENCE AND TECHNOLOGY}, volume = {32}, unique-id = {31800524}, issn = {1755-5817}, year = {2021}, eissn = {1755-5817}, pages = {120-131}, orcid-numbers = {Wahi, P./0000-0003-2106-0881} } @article{MTMT:32575948, title = {Adaptive control to actively damp bistabilities in highly interrupted turning processes using a hardware-in-the-loop simulator}, url = {https://m2.mtmt.hu/api/publication/32575948}, author = {Sahu, Govind N. and Law, Mohit and Wahi, Pankaj}, doi = {10.1177/10775463211057968}, journal-iso = {J VIB CONTROL}, journal = {JOURNAL OF VIBRATION AND CONTROL}, volume = {1}, unique-id = {32575948}, issn = {1077-5463}, year = {2021}, eissn = {1741-2986}, pages = {1-10}, orcid-numbers = {Sahu, Govind N./0000-0001-7722-4107; Law, Mohit/0000-0003-2659-4188} } @article{MTMT:31682007, title = {Delay dynamics of a levitating motor with two-limit control strategy}, url = {https://m2.mtmt.hu/api/publication/31682007}, author = {Shayak, B.}, doi = {10.1016/j.ijnonlinmec.2020.103645}, journal-iso = {INT J NONLINEAR MECH}, journal = {INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS}, volume = {129}, unique-id = {31682007}, issn = {0020-7462}, year = {2021}, eissn = {1878-5638}, pages = {1-8}, orcid-numbers = {Shayak, B./0000-0003-2502-2268} } @article{MTMT:32003728, title = {Chatter formation during milling due to stochastic noise-induced resonance}, url = {https://m2.mtmt.hu/api/publication/32003728}, author = {Sykora, Henrik Tamás and Hajdu, Dávid and Dombóvári, Zoltán and Bachrathy, Dániel}, doi = {10.1016/j.ymssp.2021.107987}, journal-iso = {MECH SYST SIGNAL PR}, journal = {MECHANICAL SYSTEMS AND SIGNAL PROCESSING}, volume = {161}, unique-id = {32003728}, issn = {0888-3270}, year = {2021}, eissn = {1096-1216}, orcid-numbers = {Sykora, Henrik Tamás/0000-0003-1034-4387; Hajdu, Dávid/0000-0003-0692-2906; Dombóvári, Zoltán/0000-0003-2591-3220; Bachrathy, Dániel/0000-0003-1491-1852} } @article{MTMT:32383991, title = {Statistical basin of attraction in time-delayed cutting dynamics: Modelling and computation}, url = {https://m2.mtmt.hu/api/publication/32383991}, author = {Yan, Yao and Xu, Jian and Wiercigroch, Marian and Guo, Qing}, doi = {10.1016/j.physd.2020.132779}, journal-iso = {PHYSICA D: NONLINEAR PEHONOM}, journal = {PHYSICA D: NONLINEAR PHENOMENA}, volume = {416}, unique-id = {32383991}, issn = {0167-2789}, abstract = {This paper proposes a novel concept of the statistical basin of attraction to analyse the multiple stability in nonlinear time-delayed dynamical systems and shows how they can be computed. This concept has been applied to the cutting dynamics, which has been extensively investigated by the authors. Due to the nonlinearity and non-smoothness of tool-workpiece interactions, the cutting dynamics always exhibit large-amplitude chatter entering a linearly stable zone, making the area below stability boundaries unsafe for high material removal rates. Meanwhile, a thorough investigation of the multiple stability in the cutting dynamics is hampered by infinite-many dimensions introduced by time delays, which induce difficulties in computation and visualization of the conventional basin of attraction. To address this issue, infinite-many dimensional time-delayed states are approximated by a Fourier series aligned on a straight line, and the coefficients of the basis functions and the cutting process are used to construct the statistical basin of attraction. Inside the statistical basin of attraction, a safe basin with no probability of chatter occurrence exists. These findings are instrumental in designing a new state-dependent intermittent control to guide the cutting dynamics towards the safe basins. It is also seen that the state-dependent intermittent control is efficient in improving the cutting safety and shrinking the unsafe zones, even when the targeted basin for the control is larger than the real safe basin. (C) 2020 Elsevier B.V. All rights reserved.}, keywords = {NONLINEAR DYNAMICS; Time delay; Numerical modelling of cutting process; Computation of statistical basin of attraction State-dependent control}, year = {2021}, eissn = {1872-8022}, orcid-numbers = {Yan, Yao/0000-0003-3748-8495} } @article{MTMT:31089926, title = {Modified Mechanistic Model Based on Gaussian Process Adjusting Technique for Cutting Force Prediction in Micro-End Milling}, url = {https://m2.mtmt.hu/api/publication/31089926}, author = {Liao, Xiaoping and Zhang, Zhenkun and Chen, Kai and Li, Kang and Ma, Junyan and Lu, Juan}, doi = {10.1155/2019/7468698}, journal-iso = {MATH PROBL ENG}, journal = {MATHEMATICAL PROBLEMS IN ENGINEERING}, unique-id = {31089926}, issn = {1024-123X}, abstract = {Micro-end milling is in common use of machining micro- and mesoscale products and is superior to other micro-machining processes in the manufacture of complex structures. Cutting force is the most direct factor reflecting the processing state, the change of which is related to the workpiece surface quality, tool wear and machine vibration, and so on, which indicates that it is important to analyze and predict cutting forces during machining process. In such problems, mechanistic models are frequently used for predicting machining forces and studying the effects of various process variables. However, these mechanistic models are derived based on various engineering assumptions and approximations (such as the slip-line field theory). As a result, the mechanistic models are generally less accurate. To accurately predict cutting forces, the paper proposes two modified mechanistic models, modified mechanistic models I and II. The modified mechanistic models are the integration of mathematical model based on Gaussian process (GP) adjustment model and mechanical model. Two different models have been validated on micro-end-milling experimental measurement. The mean absolute percentage errors of models I and II are 7.76% and 6.73%, respectively, while the original mechanistic model's is 15.14%. It is obvious that the modified models are in better agreement with experiment. And model II performs better between the two modified mechanistic models.}, year = {2019}, eissn = {1563-5147}, orcid-numbers = {Zhang, Zhenkun/0000-0003-2427-9846} } @article{MTMT:31008743, title = {Supercritical and Subcritical Hopf Bifurcations in a Delay Differential Equation Model of a Heat Exchanger Tube Under Cross-Flow}, url = {https://m2.mtmt.hu/api/publication/31008743}, author = {Vourganti, Varun and Kandala, Shanti Swaroop and Meesala, Vamsi Chandra and Vyasarayani, C. P.}, doi = {10.1115/1.4045635}, journal-iso = {J COMPUT NONLIN DYN}, journal = {JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS}, volume = {1}, unique-id = {31008743}, issn = {1555-1415}, year = {2019}, eissn = {1555-1423}, pages = {1} }