Abstract
The problem of the machine tool stability in metalworking has existed since the first machine tool was created. Stability plays an important role in investigations dedicated to machining quality improvement, wear decrease, and, on the other hand, productivity increase. The identification of dynamic parameters such as modes, damping, and stiffness is a part of a stability problem. There are two groups of techniques to find the dynamic parameters: experimental modal analysis and operational modal analysis (OMA). In this study, OMA is used to identify the dynamic parameters of the system in milling. Responses (accelerations) are stored via three-axis accelerometer mounted on the spindle. Furthermore, power spectral density matrix of output responses is estimated. The estimation of natural frequencies and damping ratios is based on the analysis of a power spectral density matrix. A simulation model of milling is created, and some experimental tests are done to verify the suggested approach. The results are discussed as well.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bandat J (2010) Random data, analysis and measurement procedures, 4th edn. Wiley, New York
Brincker R, Ventura CE, Anderson P (1999) Modal identification of output-only systems using frequency domain decomposition. Smart Mater Struct 10:441–445
Shih CY, Twuei YG, Allemang RJ et al (1988) A frequency domain global parameter estimation method for multiple reference frequency response measurements. Mech Sys Sig Proc 2:349–365. https://doi.org/10.1016/0888-3270(88)90059-3
Peeters B, De Roeck G (1999) Reference-based stochastic subspace identification for output-only modal analysis. Mech SysSig Proc 13:855–878. https://doi.org/10.1006/mssp.1999.1249
Van Overschee P, De Moor B (1993) Subspace algorithms for the stochastic identification problem. Automatica 29:649–660. https://doi.org/10.1016/0005-1098(93)90061-W
Zhang L-M, Yao Y-X, Lu M-F (1987) An improved time domain polyreference method for modal identification. Mech Sys Sig Proc 1:399–413. https://doi.org/10.1016/0888-3270(87)90097-5
Leuridan JM, Brown DL, Allemang RJ (1986) Time domain parameter identification methods for linear modal analysis: a unifying approach. Trans ASME J Vib AcoustStress Reliab 108:1–8. https://doi.org/10.1115/1.3269298
Ewins DJ (2000) Modal testing: theory, practice and application, 2nd edn. Wiley, New York
Krasil’nikov AYa, Kravchenko KYu (2013) Analytical approaches for stability analysis of milling process as a delay system, handbook. Eng J 9:23–31
Krasil’nikov AYa, Kravchenko KYu (2013) Research of stability of delayed systems, describing milling process, in case of one degree of freedom. Bull Mech Eng 9:67–75
Krasil’nikov AYa, Kravchenko KYu (2016) Determining the stability regions in end milling. Russ Eng Res 36:294–299. https://doi.org/10.3103/s1068798x16040080
Krasil’nikov AYa, Kravchenko KYu (2016) Application of analytical approach and simulation for determining of stability lobe diagram of end milling. Bull. Mech. Eng 1:79–84
Kravchenko KYu, Kugaevsky SS, Zhuravlev MP et al (2017) Natural frequencies estimation using operational modal analysis. Bull PNRPU Mech Eng Mater Sci 2:21–35. https://doi.org/10.15593/2224-9877/2017.2.02
James OH III, Carne TG (1995) The natural excitation technique (NExT) for modal parameter extraction from operating structures. Int J Anal Exp Modal Anal 10:260–277
James GH, Carne TG, Lauffer JP et al (1992) Modal testing using natural excitation. In: Proceedings of the 10-th IMAC, San Diego, USA, 3–7 February 1992
Brincker R, Ventura CE, Andersen P (2001) Damping estimation by frequency domain decomposition. In: A conference on structural dynamics, Kissimmee, Florida, 5–8 February 2001
Juang J-N, Pappa RS (1985) An eigensystem realization algorithm for modal parameter identification and model reduction. J Guid Control Dynam 8:620–627. https://doi.org/10.2514/3.20031
Juang J-N, Cooper JE, Wright JR (1988) An eigensystem realization algorithm using data correlation (ERA/DC) for modal parameter identification. Control-Theory Adv Technol 4:5–14
Edwin R (2012) System identification methods for (operational) modal analysis: review and comparison. Arch Comput Methods Eng 19:51–124. https://doi.org/10.1007/s11831-012-9069-x
Melnikov A, Soal K, Bienert O (2017) Determination of static stiffness of mechanical structures from operational modal analysis. In: 7-th international operational modal analysis conference, Ingolstadt, Germany, 10–12 May 2017
Acknowledgements
The work was supported by Ministry of Education and Science of the Russian Federation, contract â„–Â 02.G25.31.0148.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Kravchenko, K.Y., Kugaevskii, S.S., Zhuravlev, M.P. (2019). Damping Ratio and Natural Frequency of Dynamic System in Milling. In: Radionov, A., Kravchenko, O., Guzeev, V., Rozhdestvenskiy, Y. (eds) Proceedings of the 4th International Conference on Industrial Engineering. ICIE 2018. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-95630-5_23
Download citation
DOI: https://doi.org/10.1007/978-3-319-95630-5_23
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-95629-9
Online ISBN: 978-3-319-95630-5
eBook Packages: EngineeringEngineering (R0)