Response Analysis of a Rotating Tapered Beam

Dan Wang; Zhifeng Hao; Yushu Chen; Marian Wiercigroch

doi:10.1007/978-981-16-5912-6_50

Response Analysis of a Rotating Tapered Beam

Dan Wang^*, Zhifeng Hao, Yushu Chen, Marian Wiercigroch

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

1 Citation (Scopus)

Abstract

The vibration characteristics of a rotating tapered beam under the excitation of wake flows are considered. The governing equation of the beam is obtained and discretized to a set of ordinary differential equations by using the Galerkin’s method. The coupled vibrations for the first two modes of the beam are investigated. The effects of system parameters such as the taper ratio, the non-dimensional frequency ratio and radius on the first two natural frequencies of the vibrations are studied. Moreover, the vibration responses and stabilities of the coupled system are studied under the 1:1 primary resonance. And the relations between the amplitude of the vibration for the first mode and the parameters including the detuning parameter, the non-dimensional frequency ratio as well as the damping coefficient are investigated for different taper ratios.

Original language	English
Title of host publication	Advances in Applied Nonlinear Dynamics, Vibration and Control - 2021
Subtitle of host publication	The proceedings of 2021 International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021
Editors	Xingjian Jing, Hu Ding, Jiqiang Wang
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	682-694
Number of pages	13
Volume	799
ISBN (Print)	9789811659119
DOIs	https://doi.org/10.1007/978-981-16-5912-6_50
Publication status	Published - 24 Sept 2021
Event	International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021 - Hong Kong, Hong Kong Duration: 23 Aug 2021 → 25 Aug 2021

Publication series

Name	Lecture Notes in Electrical Engineering
Volume	799 LNEE
ISSN (Print)	1876-1100
ISSN (Electronic)	1876-1119

Conference

Conference	International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021
Country/Territory	Hong Kong
City	Hong Kong
Period	23/08/21 → 25/08/21

Bibliographical note

Funding Information:
Supported by National Natural Science Foundation of China (No.11702111) and the Natural Science Foundation of Shandong Province (No. ZR2017QA005).

Keywords

Natural frequency
Primary resonance
Rotating tapered beam
Vibration response

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Cite this

Wang, D., Hao, Z., Chen, Y., & Wiercigroch, M. (2021). Response Analysis of a Rotating Tapered Beam. In X. Jing, H. Ding, & J. Wang (Eds.), Advances in Applied Nonlinear Dynamics, Vibration and Control - 2021 : The proceedings of 2021 International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021 (Vol. 799, pp. 682-694). (Lecture Notes in Electrical Engineering; Vol. 799 LNEE). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-16-5912-6_50

Response Analysis of a Rotating Tapered Beam. / Wang, Dan; Hao, Zhifeng; Chen, Yushu et al.
Advances in Applied Nonlinear Dynamics, Vibration and Control - 2021 : The proceedings of 2021 International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021. ed. / Xingjian Jing; Hu Ding; Jiqiang Wang. Vol. 799 Springer Science and Business Media Deutschland GmbH, 2021. p. 682-694 (Lecture Notes in Electrical Engineering; Vol. 799 LNEE).

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

Wang, D, Hao, Z, Chen, Y & Wiercigroch, M 2021, Response Analysis of a Rotating Tapered Beam. in X Jing, H Ding & J Wang (eds), Advances in Applied Nonlinear Dynamics, Vibration and Control - 2021 : The proceedings of 2021 International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021. vol. 799, Lecture Notes in Electrical Engineering, vol. 799 LNEE, Springer Science and Business Media Deutschland GmbH, pp. 682-694, International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021, Hong Kong, Hong Kong, 23/08/21. https://doi.org/10.1007/978-981-16-5912-6_50

Wang D, Hao Z, Chen Y, Wiercigroch M. Response Analysis of a Rotating Tapered Beam. In Jing X, Ding H, Wang J, editors, Advances in Applied Nonlinear Dynamics, Vibration and Control - 2021 : The proceedings of 2021 International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021. Vol. 799. Springer Science and Business Media Deutschland GmbH. 2021. p. 682-694. (Lecture Notes in Electrical Engineering). doi: 10.1007/978-981-16-5912-6_50

Wang, Dan ; Hao, Zhifeng ; Chen, Yushu et al. / Response Analysis of a Rotating Tapered Beam. Advances in Applied Nonlinear Dynamics, Vibration and Control - 2021 : The proceedings of 2021 International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021. editor / Xingjian Jing ; Hu Ding ; Jiqiang Wang. Vol. 799 Springer Science and Business Media Deutschland GmbH, 2021. pp. 682-694 (Lecture Notes in Electrical Engineering).

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abstract = "The vibration characteristics of a rotating tapered beam under the excitation of wake flows are considered. The governing equation of the beam is obtained and discretized to a set of ordinary differential equations by using the Galerkin{\textquoteright}s method. The coupled vibrations for the first two modes of the beam are investigated. The effects of system parameters such as the taper ratio, the non-dimensional frequency ratio and radius on the first two natural frequencies of the vibrations are studied. Moreover, the vibration responses and stabilities of the coupled system are studied under the 1:1 primary resonance. And the relations between the amplitude of the vibration for the first mode and the parameters including the detuning parameter, the non-dimensional frequency ratio as well as the damping coefficient are investigated for different taper ratios.",

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note = "Funding Information: Supported by National Natural Science Foundation of China (No.11702111) and the Natural Science Foundation of Shandong Province (No. ZR2017QA005). ; International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021 ; Conference date: 23-08-2021 Through 25-08-2021",

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AU - Wang, Dan

AU - Hao, Zhifeng

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AU - Wiercigroch, Marian

N1 - Funding Information: Supported by National Natural Science Foundation of China (No.11702111) and the Natural Science Foundation of Shandong Province (No. ZR2017QA005).

PY - 2021/9/24

Y1 - 2021/9/24

N2 - The vibration characteristics of a rotating tapered beam under the excitation of wake flows are considered. The governing equation of the beam is obtained and discretized to a set of ordinary differential equations by using the Galerkin’s method. The coupled vibrations for the first two modes of the beam are investigated. The effects of system parameters such as the taper ratio, the non-dimensional frequency ratio and radius on the first two natural frequencies of the vibrations are studied. Moreover, the vibration responses and stabilities of the coupled system are studied under the 1:1 primary resonance. And the relations between the amplitude of the vibration for the first mode and the parameters including the detuning parameter, the non-dimensional frequency ratio as well as the damping coefficient are investigated for different taper ratios.

AB - The vibration characteristics of a rotating tapered beam under the excitation of wake flows are considered. The governing equation of the beam is obtained and discretized to a set of ordinary differential equations by using the Galerkin’s method. The coupled vibrations for the first two modes of the beam are investigated. The effects of system parameters such as the taper ratio, the non-dimensional frequency ratio and radius on the first two natural frequencies of the vibrations are studied. Moreover, the vibration responses and stabilities of the coupled system are studied under the 1:1 primary resonance. And the relations between the amplitude of the vibration for the first mode and the parameters including the detuning parameter, the non-dimensional frequency ratio as well as the damping coefficient are investigated for different taper ratios.

KW - Natural frequency

KW - Primary resonance

KW - Rotating tapered beam

KW - Vibration response

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ER -

Response Analysis of a Rotating Tapered Beam

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