Arabian Journal for Science and Engineering

, Volume 44, Issue 5, pp 4063–4074 | Cite as

Effect of Damage on Natural Vibration Characteristics of Large Semi-cushion Spiral Case Structure

  • Bo XuEmail author
  • Hui Xia
Research Article - Civil Engineering


A spiral case structure presents various natural vibration characteristics with damage in different degrees in peripheral concrete. The natural vibration characteristics and resonance safety of a large semi-cushion spiral case structure with damage in varying degrees in peripheral concrete are compared and analyzed. For this purpose, a finite element analysis method of vibration characteristics, a four-parameter damage constitutive model of concrete, and spiral case structure of the Ahai Hydropower Station are utilized. Results show that each mode of natural frequency of the spiral case structure declines after the damage in concrete. The extent of the reduction in natural frequency is large when the damage is serious. The mode shapes of the spiral structure are all complex and twisted before and after the damage in concrete. Afterward, however, amplitude increases. After considering the damage, a new possible source of resonance cannot be identified. Resonance checking shows that the damage in concrete cannot seriously harm the Ahai spiral case structure. Therefore, this study provides new reference and support for the production design and safe operation of large semi-cushion spiral case structure.


Large semi-cushion spiral case structure Natural vibration characteristic Concrete damage Resonance checking Four-parameter damage model Finite element method 


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This research work was supported by CRSRI Open Research Program (Grant No. CKWV2016386/KY), National Natural Science Foundation of China (Grant No. 51409227), and Jiangsu Planned Projects for Postdoctoral Research Funds (Grant No. 1501115B).

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interests regarding the publication of this paper.


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Copyright information

© King Fahd University of Petroleum & Minerals 2018

Authors and Affiliations

  1. 1.School of Hydraulic, Energy and Power EngineeringYangzhou UniversityYangzhouChina
  2. 2.Jiangsu Surveying and Design Institute of Water Resources Co., Ltd.YangzhouChina

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