DOI:

https://doi.org/10.14483/23448393.22926

Published:

2025-08-01

Issue:

Vol. 30 No. 2 (2025): May-August

Section:

Mechanical Engineering

Theoretical-Experimental Modal Analysis of a Flexible Rotor Based on the Jeffcott Model

Análisis modal teórico-experimental de un rotor flexible basado en el modelo de Jeffcott

Authors

  • Javier Ruíz-Rodríguez Universidad Industrial de Santander image/svg+xml
  • Brian Farid Morales-Hernández Universidad Industrial de Santander image/svg+xml
  • Heller Guillermo Sánchez-Acevedo Universidad Industrial de Santander image/svg+xml

Keywords:

MAC, vibration mode shapes, flexible rotors, Jeffcott rotor, Experimental Modal Analysis, Theoretical Modal Analysis, natural frequencies (en).

Keywords:

Análisis Modal Experimental, Análisis Modal Teórico, frecuencias naturales, MAC, modos de vibración, rotores flexibles, rotor de Jeffcott (es).

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Abstract (en)

Context: Rotating equipment that operates at high speeds or handles significant loads is designed based on the concept of flexible shafts. This is the case with turbines, compressors, and turbopumps, among others. The theoretical-experimental modal analysis of these shafts is crucial for ensuring a safe and efficient operation, as well as for identifying appropriate maintenance strategies.

Method: In this work, we perform both theoretical and experimental modal analyses of an isotropic flexible rotor based on the Jeffcott model. The theoretical modal analysis is carried out using a numerical model with conditions similar to those of the experimental analysis. The results are compared using the modal assurance criterion (MAC). The validated numerical model enables the evaluation of eigenfrequencies and their associated modal shapes.

Results: The first two bending natural modes of the flexible rotor were obtained from the theoretical and experimental modal analysis, and the mode shapes and natural frequencies were determined. The mode shapes were correlated, exhibiting a correlation value greater than 88%, thus validating the numerical model.

Conclusions: This approach not only enhances the understanding of the shaft’s dynamic response but also contributes to improved decision-making during the design and operation stages of rotating systems in various industrial applications.

Abstract (es)

Contexto: El equipo rotativo que opera a altas velocidades o maneja cargas significativas se diseña con base en el concepto de ejes flexibles. Este es el caso de las turbinas, los compresores y las turbobombas, entre otros. El análisis modal teórico-experimental de estos ejes es esencial para garantizar una operación segura y eficiente, así como para identificar estrategias de mantenimiento adecuadas.

Método: En este trabajo desarrollamos análisis modales tanto teóricos como experimentales de un rotor flexible isotrópico basado en el modelo de Jeffcott. El análisis modal teórico se realiza utilizando un modelo numérico con condiciones similares a las del análisis experimental. Los resultados se comparan utilizando el criterio de aseguramiento modal (MAC). El modelo numérico validado permite evaluar las frecuencias propias y sus formas modales asociadas.

Resultados: Se obtuvieron los dos primeros modos naturales de flexión del rotor flexible del análisis modal teórico y experimental, y se determinaron las formas modales y las frecuencias naturales. Las formas modales estuvieron correlacionadas, obteniendo un valor de correlación superior al 88 %, lo que valida el modelo numérico.

Conclusiones: Este enfoque no solo mejora la comprensión de la respuesta dinámica del eje, sino que también contribuye a mejorar la toma de decisiones durante las etapas de diseño y operación de sistemas rotativos en diversas aplicaciones industriales.

References

H. G. Sánchez-Acevedo, “Modelo analítico para el estudio de la torsión en rotores flexibles,” Rev. UIS Ing., vol. 9, no. 1, pp. 69–76, 2010.

V. Gagnol, T.-P. Le, and P. Ray, “Numerical and experimental high speed machining spindle-tool modal characterization (dynamics of machine components),” in Proc. Asian Conf. Multibody Dyna., 2010, pp. 57636-1–57636-11. https://doi.org/10.1299/jsmeacmd.2010.5._57636-1_

Z. Huang and B. Han, “Effective approach for calculating critical speeds of high‐speed permanent magnet motor rotor‐shaft assemblies,” IET Electr. Power Appl., vol. 9, no. 9, pp. 628–633, Nov. 2015. https://doi.org/10.1049/iet-epa.2014.0503

H. G. Sánchez, F. R. Nova, and O. A. González-Estrada, “Implementation of the operational modal analysis technique in a power transmission shaft,” J. Phys. Conf. Ser., vol. 1247, no. 1, art. 012032, Jun. 2019. https://doi.org/10.1088/1742-6596/1247/1/012032

B. F. Morales-Hernández, “Metodología para el ajuste y validación del modelo numérico de un rotor de Jeffcott, mediante el uso de funciones de respuesta en frecuencia (FRF),” Master’s thesis, Universidad Industrial de Santander, Bucaramanga, Colombia, 2023.

Z. Huang, B. Han, and Y. Le, “Modeling method of the modal analysis for turbomolecular pump rotor blades,” Vacuum, vol. 144, pp. 145–151, Oct. 2017. https://doi.org/10.1016/j.vacuum.2017.07.029

H. H. Jeffcott, “The lateral vibration of loaded shafts in the neighbourhood of a whirling speed.—The effect of want of balance,” Lond. Dub. Edim. Phil. Mag. J. Sci., vol. 37, pp. 304–314, 1919. https://doi.org/10.1080/14786440308635889

A. Malgol, K. P. Vineesh, and A. Saha, “Investigation of vibration characteristics of a Jeffcott rotor system under the influence of nonlinear restoring force, hydrodynamic effect, and gyroscopic effect,” J. Brazilian Soc, Mech. Sci. Eng., vol. 44, no. 3, p. 105, 2022. https://doi.org/10.1007/s40430-021-03277-x

J. Liu, C. Tang, and G. Pan, “Dynamic modeling and simulation of a flexible-rotor ball bearing system,” J. Vibr. Control, vol. 28, no. 23–24, pp. 3495–3509, Dec. 2022. https://doi.org/10.1177/10775463211034347

A. Blanco-Ortega, F. Beltrán-Carbajal, G. Silva-Navarro, and H. Méndez-Azúa, “Control de vibraciones en maquinaria rotatoria,” Rev. Ibero. Autom, Infor, Ind. RIAI, vol. 7, no. 4, pp. 36–43, Oct. 2010. https://doi.org/10.1016/s1697-7912(10)70058-3

E. Sarrouy, O. Dessombz, and J.-J. Sinou, “Stochastic analysis of the eigenvalue problem for mechanical systems using polynomial chaos expansion— Application to a finite element rotor,” J. Vibr. Acoust., vol. 134, no. 5, art. 051009, Oct. 2012. https://doi.org/10.1115/1.4005842

J. Páez Chávez, V. Vaziri Hamaneh, and M. Wiercigroch, “Modelling and experimental verification of an asymmetric Jeffcott rotor with radial clearance,” J. Sound Vibr., vol. 334, pp. 86–97, Jan. 2015. https://doi.org/10.1016/j.jsv.2014.05.049

Y. M. Ameen and J. K. Ali, “Theoretical and experimental modal analysis of circular cross-section shaft,” IOP Conf. Ser. Mater. Sci. Eng., vol. 745, no. 1, art. 012066, Feb. 2020. https://doi.org/10.1088/1757-899X/745/1/012066

A. Kandil, “Investigation of the whirling motion and rub/impact occurrence in a 16-pole rotor active magnetic bearings system with constant stiffness,” Nonlinear Dyna., vol. 102, no. 4, pp. 2247–2265, Dec. 2020. https://doi.org/10.1007/s11071-020-06071-x

A. Kandil and Y. S. Hamed, “Tuned positive position feedback control of an active magnetic bearings system with 16-poles and constant stiffness,” IEEE Access, vol. 9, pp. 73857–73872, 2021. https://doi.org/10.1109/ACCESS.2021.3080457

R. J. Allemang, “The modal assurance criterion–Twenty years of use and abuse,” Sound Vibr., vol. 37, pp. 14–23, 2003. https://www.sandv.com/downloads/0308alle.pdf

C. Chen, P. Duffour, and P. Fromme, “Modelling wind turbine tower-rotor interaction through an aerodynamic damping matrix,” J. Sound Vibr., vol. 489, art. 115667, Dec. 2020. https://doi.org/10.1016/j.jsv.2020.115667

L. Cveticanin, “Free vibration of a Jeffcott rotor with pure cubic non-linear elastic property of the shaft,” Mech. Mach. Theory, vol. 40, no. 12, pp. 1330–1344, Dec. 2005. https://doi.org/10.1016/j.mechmachtheory.2005.03.002

T. H. EL-MAHDY and R. M. GADELRAB, “Free vibration of unidirectional fiber reinforcement composite rotor,” J. Sound Vibr., vol. 230, no. 1, pp. 195–202, Feb. 2000. https://doi.org/10.1006/jsvi.1999.2573

J. Warminski, L. Kloda, and S. Lenci, “Nonlinear vibrations of an extensional beam with tip mass in slewing motion,” Meccanica, vol. 55, no. 12, pp. 2311–2335, Dec. 2020. https://doi.org/10.1007/S11012-020-01236-9/TABLES/2

J. Taghipour, M. Dardel, and M. H. Pashaei, “Nonlinear vibration mitigation of a flexible rotor shaft carrying a longitudinally dispositioned unbalanced rigid disc,” Nonlinear Dyna., vol. 104, no. 3, pp. 2145–2184, May 2021. https://doi.org/10.1007/S11071-021-06428-W/METRICS

R. Zaradnik, S. Raichman, and A. E. Mirasso, “Comparación de diversas matrices de masas concentradas con similitud de modos propios,” Mecánica Computacional, vol. 28, no. 10, pp. 853-869. https://www.researchgate.net/publication/329170895_COMPARACION_DE_DIVERSAS_MATRICES_DE_MASAS_CONCENTRADAS_CON_SIMILITUD_DE_MODOS_PROPIOS

Y. Xu, J. Zhou, L. Di, C. Zhao, and Q. Guo, “Active magnetic bearing rotor model updating using resonance and MAC error,” Shock Vibr., vol. 2015, pp. 1–9, 2015. https://doi.org/10.1155/2015/263062

How to Cite

APA

Ruíz-Rodríguez, J., Morales-Hernández, B. F., and Sánchez-Acevedo, H. G. (2025). Theoretical-Experimental Modal Analysis of a Flexible Rotor Based on the Jeffcott Model. Ingeniería, 30(2), e22926. https://doi.org/10.14483/23448393.22926

ACM

[1]
Ruíz-Rodríguez, J. et al. 2025. Theoretical-Experimental Modal Analysis of a Flexible Rotor Based on the Jeffcott Model. Ingeniería. 30, 2 (Aug. 2025), e22926. DOI:https://doi.org/10.14483/23448393.22926.

ACS

(1)
Ruíz-Rodríguez, J.; Morales-Hernández, B. F.; Sánchez-Acevedo, H. G. Theoretical-Experimental Modal Analysis of a Flexible Rotor Based on the Jeffcott Model. Ing. 2025, 30, e22926.

ABNT

RUÍZ-RODRÍGUEZ, Javier; MORALES-HERNÁNDEZ, Brian Farid; SÁNCHEZ-ACEVEDO, Heller Guillermo. Theoretical-Experimental Modal Analysis of a Flexible Rotor Based on the Jeffcott Model. Ingeniería, [S. l.], v. 30, n. 2, p. e22926, 2025. DOI: 10.14483/23448393.22926. Disponível em: https://revistas.udistrital.edu.co/index.php/reving/article/view/22926. Acesso em: 14 nov. 2025.

Chicago

Ruíz-Rodríguez, Javier, Brian Farid Morales-Hernández, and Heller Guillermo Sánchez-Acevedo. 2025. “Theoretical-Experimental Modal Analysis of a Flexible Rotor Based on the Jeffcott Model”. Ingeniería 30 (2):e22926. https://doi.org/10.14483/23448393.22926.

Harvard

Ruíz-Rodríguez, J., Morales-Hernández, B. F. and Sánchez-Acevedo, H. G. (2025) “Theoretical-Experimental Modal Analysis of a Flexible Rotor Based on the Jeffcott Model”, Ingeniería, 30(2), p. e22926. doi: 10.14483/23448393.22926.

IEEE

[1]
J. Ruíz-Rodríguez, B. F. Morales-Hernández, and H. G. Sánchez-Acevedo, “Theoretical-Experimental Modal Analysis of a Flexible Rotor Based on the Jeffcott Model”, Ing., vol. 30, no. 2, p. e22926, Aug. 2025.

MLA

Ruíz-Rodríguez, Javier, et al. “Theoretical-Experimental Modal Analysis of a Flexible Rotor Based on the Jeffcott Model”. Ingeniería, vol. 30, no. 2, Aug. 2025, p. e22926, doi:10.14483/23448393.22926.

Turabian

Ruíz-Rodríguez, Javier, Brian Farid Morales-Hernández, and Heller Guillermo Sánchez-Acevedo. “Theoretical-Experimental Modal Analysis of a Flexible Rotor Based on the Jeffcott Model”. Ingeniería 30, no. 2 (August 1, 2025): e22926. Accessed November 14, 2025. https://revistas.udistrital.edu.co/index.php/reving/article/view/22926.

Vancouver

1.
Ruíz-Rodríguez J, Morales-Hernández BF, Sánchez-Acevedo HG. Theoretical-Experimental Modal Analysis of a Flexible Rotor Based on the Jeffcott Model. Ing. [Internet]. 2025 Aug. 1 [cited 2025 Nov. 14];30(2):e22926. Available from: https://revistas.udistrital.edu.co/index.php/reving/article/view/22926

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