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Low Frequency Property Of A Fractal Vibration Model For A Concrete Beam

Author

Listed:
  • CHUN-HUI HE

    (School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an, P. R. China)

  • CHAO LIU

    (School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an, P. R. China)

  • JI-HUAN HE

    (��School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China‡National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou, P. R. China)

  • KHALED A. GEPREEL

    (�Mathematics Department, Faculty of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia)

Abstract

A concrete beam is a basic element for many applications in architectural engineering, and its vibration property plays an important role in safety and life-span. Previous vibration models were based on continuum beam theories, which could not take into account the porous property of the concrete beam. This paper adopts a two-scale fractal vibration model, and its low frequency property is revealed. This new finding can explain the vibration attenuation and vibration absorption of the porous concrete, and the present theory sheds a new light on the concrete design.

Suggested Citation

  • Chun-Hui He & Chao Liu & Ji-Huan He & Khaled A. Gepreel, 2021. "Low Frequency Property Of A Fractal Vibration Model For A Concrete Beam," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-7, August.
  • Handle: RePEc:wsi:fracta:v:29:y:2021:i:05:n:s0218348x21501176
    DOI: 10.1142/S0218348X21501176
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    Cited by:

    1. El-Dib, Yusry O. & Elgazery, Nasser S., 2022. "A novel pattern in a class of fractal models with the non-perturbative approach," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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