Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation

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GONZÁLEZ-CRUZ, Claudia Aide;JAUREGUI-CORREA, Juan Carlos;HERRERA-RUIZ, Gilberto .
Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 62, n.3, p. 187-196, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/nonlinear-response-of-cantilever-beams-due-to-large-geometric-deformations-experimental-validation/>. Date accessed: 16 apr. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2015.2964.
González-Cruz, C., Jauregui-Correa, J., & Herrera-Ruiz, G.
(2016).
Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation.
Strojniški vestnik - Journal of Mechanical Engineering, 62(3), 187-196.
doi:http://dx.doi.org/10.5545/sv-jme.2015.2964
@article{sv-jmesv-jme.2015.2964,
	author = {Claudia Aide González-Cruz and Juan Carlos Jauregui-Correa and Gilberto  Herrera-Ruiz},
	title = {Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {62},
	number = {3},
	year = {2016},
	keywords = {phase diagram; harmonic distortion; continuous wavelet transform; large geometric deformations},
	abstract = {Many structural elements, such as gas turbine fans, wind turbine blades, springboards among others are designed as slender elements. Since their dynamic behaviour can be modeled as cantilever beams, it is important to understand their nonlinear behaviour due to large deformations. In this way, this work presents the experimental validation of a simplified model of a cantilever beam. The model is formulated considering large geometric deformations and assuming a Galerkin approach. The model is validated experimentally, and it is found that there is a characteristic frequency related to the nonlinear terms. The data is analysed using time-frequency maps produced with the continuous wavelet transform.},
	issn = {0039-2480},	pages = {187-196},	doi = {10.5545/sv-jme.2015.2964},
	url = {https://www.sv-jme.eu/article/nonlinear-response-of-cantilever-beams-due-to-large-geometric-deformations-experimental-validation/}
}
González-Cruz, C.,Jauregui-Correa, J.,Herrera-Ruiz, G.
2016 June 62. Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 62:3
%A González-Cruz, Claudia Aide
%A Jauregui-Correa, Juan Carlos
%A Herrera-Ruiz, Gilberto 
%D 2016
%T Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation
%B 2016
%9 phase diagram; harmonic distortion; continuous wavelet transform; large geometric deformations
%! Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation
%K phase diagram; harmonic distortion; continuous wavelet transform; large geometric deformations
%X Many structural elements, such as gas turbine fans, wind turbine blades, springboards among others are designed as slender elements. Since their dynamic behaviour can be modeled as cantilever beams, it is important to understand their nonlinear behaviour due to large deformations. In this way, this work presents the experimental validation of a simplified model of a cantilever beam. The model is formulated considering large geometric deformations and assuming a Galerkin approach. The model is validated experimentally, and it is found that there is a characteristic frequency related to the nonlinear terms. The data is analysed using time-frequency maps produced with the continuous wavelet transform.
%U https://www.sv-jme.eu/article/nonlinear-response-of-cantilever-beams-due-to-large-geometric-deformations-experimental-validation/
%0 Journal Article
%R 10.5545/sv-jme.2015.2964
%& 187
%P 10
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 62
%N 3
%@ 0039-2480
%8 2018-06-27
%7 2018-06-27
González-Cruz, Claudia, Juan Carlos Jauregui-Correa, & Gilberto  Herrera-Ruiz.
"Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation." Strojniški vestnik - Journal of Mechanical Engineering [Online], 62.3 (2016): 187-196. Web.  16 Apr. 2024
TY  - JOUR
AU  - González-Cruz, Claudia Aide
AU  - Jauregui-Correa, Juan Carlos
AU  - Herrera-Ruiz, Gilberto 
PY  - 2016
TI  - Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2015.2964
KW  - phase diagram; harmonic distortion; continuous wavelet transform; large geometric deformations
N2  - Many structural elements, such as gas turbine fans, wind turbine blades, springboards among others are designed as slender elements. Since their dynamic behaviour can be modeled as cantilever beams, it is important to understand their nonlinear behaviour due to large deformations. In this way, this work presents the experimental validation of a simplified model of a cantilever beam. The model is formulated considering large geometric deformations and assuming a Galerkin approach. The model is validated experimentally, and it is found that there is a characteristic frequency related to the nonlinear terms. The data is analysed using time-frequency maps produced with the continuous wavelet transform.
UR  - https://www.sv-jme.eu/article/nonlinear-response-of-cantilever-beams-due-to-large-geometric-deformations-experimental-validation/
@article{{sv-jme}{sv-jme.2015.2964},
	author = {González-Cruz, C., Jauregui-Correa, J., Herrera-Ruiz, G.},
	title = {Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {62},
	number = {3},
	year = {2016},
	doi = {10.5545/sv-jme.2015.2964},
	url = {https://www.sv-jme.eu/article/nonlinear-response-of-cantilever-beams-due-to-large-geometric-deformations-experimental-validation/}
}
TY  - JOUR
AU  - González-Cruz, Claudia Aide
AU  - Jauregui-Correa, Juan Carlos
AU  - Herrera-Ruiz, Gilberto 
PY  - 2018/06/27
TI  - Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 62, No 3 (2016): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2015.2964
KW  - phase diagram, harmonic distortion, continuous wavelet transform, large geometric deformations
N2  - Many structural elements, such as gas turbine fans, wind turbine blades, springboards among others are designed as slender elements. Since their dynamic behaviour can be modeled as cantilever beams, it is important to understand their nonlinear behaviour due to large deformations. In this way, this work presents the experimental validation of a simplified model of a cantilever beam. The model is formulated considering large geometric deformations and assuming a Galerkin approach. The model is validated experimentally, and it is found that there is a characteristic frequency related to the nonlinear terms. The data is analysed using time-frequency maps produced with the continuous wavelet transform.
UR  - https://www.sv-jme.eu/article/nonlinear-response-of-cantilever-beams-due-to-large-geometric-deformations-experimental-validation/
González-Cruz, Claudia, Jauregui-Correa, Juan, AND Herrera-Ruiz, Gilberto.
"Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 62 Number 3 (27 June 2018)

Authors

Affiliations

  • Autonomous University of Querétaro, Faculty of Engineering, Mexico 1

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 62(2016)3, 187-196
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.

https://doi.org/10.5545/sv-jme.2015.2964

Many structural elements, such as gas turbine fans, wind turbine blades, springboards among others are designed as slender elements. Since their dynamic behaviour can be modeled as cantilever beams, it is important to understand their nonlinear behaviour due to large deformations. In this way, this work presents the experimental validation of a simplified model of a cantilever beam. The model is formulated considering large geometric deformations and assuming a Galerkin approach. The model is validated experimentally, and it is found that there is a characteristic frequency related to the nonlinear terms. The data is analysed using time-frequency maps produced with the continuous wavelet transform.

phase diagram; harmonic distortion; continuous wavelet transform; large geometric deformations