Nonlinear Model for the Instability Detection in Centerless Grinding Process

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ROBLES-OCAMPO, J.B. ;JÁUREGUI-CORREA, J.C. ;KRAJNIK, Peter ;SEVILLA-CAMACHO, Perla ;HERRERA-RUIZ, Gilberto .
Nonlinear Model for the Instability Detection in Centerless Grinding Process. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 58, n.12, p. 693-700, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/nonlinear-model-for-the-instability-detection-in-centerless-grinding-process/>. Date accessed: 23 apr. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2012.649.
Robles-Ocampo, J., Jáuregui-Correa, J., Krajnik, P., Sevilla-Camacho, P., & Herrera-Ruiz, G.
(2012).
Nonlinear Model for the Instability Detection in Centerless Grinding Process.
Strojniški vestnik - Journal of Mechanical Engineering, 58(12), 693-700.
doi:http://dx.doi.org/10.5545/sv-jme.2012.649
@article{sv-jmesv-jme.2012.649,
	author = {J.B.  Robles-Ocampo and J.C.  Jáuregui-Correa and Peter  Krajnik and Perla  Sevilla-Camacho and Gilberto  Herrera-Ruiz},
	title = {Nonlinear Model for the Instability Detection in Centerless Grinding Process},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {58},
	number = {12},
	year = {2012},
	keywords = {Phase diagram; Chatter; Nonlinear model; Centerless grinding; Polygonal shape; Instability index},
	abstract = {In this work a novel nonlinear model for centerless grinding is presented. The model describes the dynamic behavior of the process. The model considers that the system’s stiffness depends on the existence of lobes in the workpiece surface. Lobes geometry is treated as a polygonal shape and it is demonstrated that the system can be represented as a Duffing’s equation. It is shown that there is a critical lobe number, where the systems present an unstable behavior; the critical lobe number is identified through the geometric stability index. Instabilities in the centerless grinding process are analyzed with two methods: the phase diagram and the continuous wavelet transform. The presented results show that the dynamic behavior of the centerless grinding process can be represented with a cubic stiffness function that is obtained from the analysis of the surface topology.},
	issn = {0039-2480},	pages = {693-700},	doi = {10.5545/sv-jme.2012.649},
	url = {https://www.sv-jme.eu/article/nonlinear-model-for-the-instability-detection-in-centerless-grinding-process/}
}
Robles-Ocampo, J.,Jáuregui-Correa, J.,Krajnik, P.,Sevilla-Camacho, P.,Herrera-Ruiz, G.
2012 June 58. Nonlinear Model for the Instability Detection in Centerless Grinding Process. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 58:12
%A Robles-Ocampo, J.B. 
%A Jáuregui-Correa, J.C. 
%A Krajnik, Peter 
%A Sevilla-Camacho, Perla 
%A Herrera-Ruiz, Gilberto 
%D 2012
%T Nonlinear Model for the Instability Detection in Centerless Grinding Process
%B 2012
%9 Phase diagram; Chatter; Nonlinear model; Centerless grinding; Polygonal shape; Instability index
%! Nonlinear Model for the Instability Detection in Centerless Grinding Process
%K Phase diagram; Chatter; Nonlinear model; Centerless grinding; Polygonal shape; Instability index
%X In this work a novel nonlinear model for centerless grinding is presented. The model describes the dynamic behavior of the process. The model considers that the system’s stiffness depends on the existence of lobes in the workpiece surface. Lobes geometry is treated as a polygonal shape and it is demonstrated that the system can be represented as a Duffing’s equation. It is shown that there is a critical lobe number, where the systems present an unstable behavior; the critical lobe number is identified through the geometric stability index. Instabilities in the centerless grinding process are analyzed with two methods: the phase diagram and the continuous wavelet transform. The presented results show that the dynamic behavior of the centerless grinding process can be represented with a cubic stiffness function that is obtained from the analysis of the surface topology.
%U https://www.sv-jme.eu/article/nonlinear-model-for-the-instability-detection-in-centerless-grinding-process/
%0 Journal Article
%R 10.5545/sv-jme.2012.649
%& 693
%P 8
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 58
%N 12
%@ 0039-2480
%8 2018-06-28
%7 2018-06-28
Robles-Ocampo, J.B., J.C.  Jáuregui-Correa, Peter  Krajnik, Perla  Sevilla-Camacho, & Gilberto  Herrera-Ruiz.
"Nonlinear Model for the Instability Detection in Centerless Grinding Process." Strojniški vestnik - Journal of Mechanical Engineering [Online], 58.12 (2012): 693-700. Web.  23 Apr. 2024
TY  - JOUR
AU  - Robles-Ocampo, J.B. 
AU  - Jáuregui-Correa, J.C. 
AU  - Krajnik, Peter 
AU  - Sevilla-Camacho, Perla 
AU  - Herrera-Ruiz, Gilberto 
PY  - 2012
TI  - Nonlinear Model for the Instability Detection in Centerless Grinding Process
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2012.649
KW  - Phase diagram; Chatter; Nonlinear model; Centerless grinding; Polygonal shape; Instability index
N2  - In this work a novel nonlinear model for centerless grinding is presented. The model describes the dynamic behavior of the process. The model considers that the system’s stiffness depends on the existence of lobes in the workpiece surface. Lobes geometry is treated as a polygonal shape and it is demonstrated that the system can be represented as a Duffing’s equation. It is shown that there is a critical lobe number, where the systems present an unstable behavior; the critical lobe number is identified through the geometric stability index. Instabilities in the centerless grinding process are analyzed with two methods: the phase diagram and the continuous wavelet transform. The presented results show that the dynamic behavior of the centerless grinding process can be represented with a cubic stiffness function that is obtained from the analysis of the surface topology.
UR  - https://www.sv-jme.eu/article/nonlinear-model-for-the-instability-detection-in-centerless-grinding-process/
@article{{sv-jme}{sv-jme.2012.649},
	author = {Robles-Ocampo, J., Jáuregui-Correa, J., Krajnik, P., Sevilla-Camacho, P., Herrera-Ruiz, G.},
	title = {Nonlinear Model for the Instability Detection in Centerless Grinding Process},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {58},
	number = {12},
	year = {2012},
	doi = {10.5545/sv-jme.2012.649},
	url = {https://www.sv-jme.eu/article/nonlinear-model-for-the-instability-detection-in-centerless-grinding-process/}
}
TY  - JOUR
AU  - Robles-Ocampo, J.B. 
AU  - Jáuregui-Correa, J.C. 
AU  - Krajnik, Peter 
AU  - Sevilla-Camacho, Perla 
AU  - Herrera-Ruiz, Gilberto 
PY  - 2018/06/28
TI  - Nonlinear Model for the Instability Detection in Centerless Grinding Process
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 58, No 12 (2012): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2012.649
KW  - Phase diagram, Chatter, Nonlinear model, Centerless grinding, Polygonal shape, Instability index
N2  - In this work a novel nonlinear model for centerless grinding is presented. The model describes the dynamic behavior of the process. The model considers that the system’s stiffness depends on the existence of lobes in the workpiece surface. Lobes geometry is treated as a polygonal shape and it is demonstrated that the system can be represented as a Duffing’s equation. It is shown that there is a critical lobe number, where the systems present an unstable behavior; the critical lobe number is identified through the geometric stability index. Instabilities in the centerless grinding process are analyzed with two methods: the phase diagram and the continuous wavelet transform. The presented results show that the dynamic behavior of the centerless grinding process can be represented with a cubic stiffness function that is obtained from the analysis of the surface topology.
UR  - https://www.sv-jme.eu/article/nonlinear-model-for-the-instability-detection-in-centerless-grinding-process/
Robles-Ocampo, J.B., Jáuregui-Correa, J.C., Krajnik, Peter, Sevilla-Camacho, Perla, AND Herrera-Ruiz, Gilberto.
"Nonlinear Model for the Instability Detection in Centerless Grinding Process" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 58 Number 12 (28 June 2018)

Authors

Affiliations

  • División de Estudios de Posgrado, Facultad de Ingeniería-Universidad Autónoma de Querétaro, Cerro de las Campanas s/n, Ciudad Universitaria, 76010, Querétaro, Qro., México 1
  • University of Ljubljana, Slovenia 2
  • Ingeniería Mecatrónica, Universidad Politécnica de Chiapas, Calle Eduardo J. Selva s/n y Avenida Manuel de J. Cancino, Colonia Magistral, 29082, Tuxtla Gutiérrez, Chiapas, México 3

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 58(2012)12, 693-700
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.

https://doi.org/10.5545/sv-jme.2012.649

In this work a novel nonlinear model for centerless grinding is presented. The model describes the dynamic behavior of the process. The model considers that the system’s stiffness depends on the existence of lobes in the workpiece surface. Lobes geometry is treated as a polygonal shape and it is demonstrated that the system can be represented as a Duffing’s equation. It is shown that there is a critical lobe number, where the systems present an unstable behavior; the critical lobe number is identified through the geometric stability index. Instabilities in the centerless grinding process are analyzed with two methods: the phase diagram and the continuous wavelet transform. The presented results show that the dynamic behavior of the centerless grinding process can be represented with a cubic stiffness function that is obtained from the analysis of the surface topology.

Phase diagram; Chatter; Nonlinear model; Centerless grinding; Polygonal shape; Instability index