LOW FREQUENCY PROPERTY OF A FRACTAL VIBRATION MODEL FOR A CONCRETE BEAM-Reference-Cited by-同舟云学术

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

Published:2021-06-25 Issue:05 Volume:29 Page:2150117
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

HE CHUN-HUI¹,LIU CHAO¹,HE JI-HUAN²³^ORCID,GEPREEL KHALED A.⁴

Affiliation:

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

2. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China

3. National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou, P. R. China

4. 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.

Funder

Taif University Project, Saudi Arabia

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21501176

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