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Response Analysis of a Rotating Tapered Beam

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Advances in Applied Nonlinear Dynamics, Vibration and Control -2021 (ICANDVC 2021)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 799))

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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’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.

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

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, University of Jinan, Jinan, 250022, China

    Dan Wang & Zhifeng Hao

  2. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Dan Wang

  3. School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China

    Yushu Chen

  4. Centre for Applied Dynamics Research, School of Engineering, University of Aberdeen, King’s College, Scotland, UK

    Marian Wiercigroch

Authors
  1. Dan Wang
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  2. Zhifeng Hao
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  3. Yushu Chen
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  4. Marian Wiercigroch
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Editor information

Editors and Affiliations

  1. Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

    Xingjian Jing

  2. Shanghai University, Shanghai, Shanghai, China

    Hu Ding

  3. Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China

    Jiqiang Wang

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© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Wang, D., Hao, Z., Chen, Y., Wiercigroch, M. (2022). Response Analysis of a Rotating Tapered Beam. In: Jing, X., Ding, H., Wang, J. (eds) Advances in Applied Nonlinear Dynamics, Vibration and Control -2021. ICANDVC 2021. Lecture Notes in Electrical Engineering, vol 799. Springer, Singapore. https://doi.org/10.1007/978-981-16-5912-6_50

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  • DOI: https://doi.org/10.1007/978-981-16-5912-6_50

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-5911-9

  • Online ISBN: 978-981-16-5912-6

  • eBook Packages: EngineeringEngineering (R0)

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