LOW FREQUENCY PROPERTY OF A FRACTAL VIBRATION MODEL FOR A CONCRETE BEAM

Chun-Hui He, Chao Liu (), Ji-Huan He and Khaled A. Gepreel
Additional contact information
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

FRACTALS (fractals), 2021, vol. 29, issue 05, 1-7

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.

Keywords: Bernoulli–Euler Theory; Vibration Attenuation; Two-Scale Fractal Derivative; Fractal Oscillator; Variational Principle; Homotopy Perturbation Method; Periodic Solution; Resonance (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X21501176
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:05:n:s0218348x21501176

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X21501176

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().