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 proceedingPublished conference contribution

1 Citation (Scopus)


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 languageEnglish
Title of host publicationAdvances in Applied Nonlinear Dynamics, Vibration and Control - 2021
Subtitle of host publicationThe proceedings of 2021 International Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021
EditorsXingjian Jing, Hu Ding, Jiqiang Wang
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages13
ISBN (Print)9789811659119
Publication statusPublished - 24 Sept 2021
EventInternational Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021 - Hong Kong, Hong Kong
Duration: 23 Aug 202125 Aug 2021

Publication series

NameLecture Notes in Electrical Engineering
Volume799 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119


ConferenceInternational Conference on Applied Nonlinear Dynamics, Vibration and Control, ICANDVC 2021
Country/TerritoryHong Kong
CityHong Kong

Bibliographical note

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


  • Natural frequency
  • Primary resonance
  • Rotating tapered beam
  • Vibration response


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