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Dynamic analysis of viscoelastic concrete plates containing nanoparticle subjected to low velocity impact load

  • Luo, Jijun (Shaanxi Engineering Research Center of Controllable Neutron Source, Xijing University of School of Electronic Information, Xijing University) ;
  • Lv, Meng (China Construction Seventh Engineering Division Corp., LTD.) ;
  • Hou, Suxia (Shaanxi Engineering Research Center of Controllable Neutron Source, Xijing University of School of Electronic Information, Xijing University) ;
  • Nasihatgozar, Mohsen (Department of mechanical engineering, Kashan Branch, Islamic Azad University) ;
  • Behshad, Amir (Faculty of Technology and Mining, Yasouj University)
  • Received : 2021.01.07
  • Accepted : 2022.09.14
  • Published : 2022.10.25
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Abstract

Dynamic study of concrete plates under impact load is presented in this article. The main objective of this work is presenting a mathematical model for the concrete plates under the impact load. The concrete plate is reinforced by carbon nanoparticles which the effective material proprieties are obtained by mixture's rule. Impacts are assumed to occur normally over the top layer of the plate and the interaction between the impactor and the structure is simulated using a new equivalent three-degree-of-freedom (TDOF) spring-mass-damper (SMD) model. The structure is assumed viscoelastic based on Kelvin-Voigt model. Based on the classical plate theory (CPT), energy method and Hamilton's principle, the motion equations are derived. Applying DQM, the dynamic deflection and contact force of the structure are calculated numerically so that the effects of mass, velocity and height of the impactor, volume percent of nanoparticles, structural damping and geometrical parameters of structure are shown on the dynamic deflection and contact force. Results show that considering structural damping leads to lower dynamic deflection and contact force. In addition, increasing the volume percent of nanoparticles yields to decreases in the deflection.

Keywords

Acknowledgement

The authors extend their sincere thanks to the National Nature Science Fund of China Grants Agreement Number 51309228 for the financial support for this work. The author also thanks the Postdoctoral Science Foundation of China for financial supporting this work (No.2013M542459), and Shaanxi Technology Committee Natural Science Basic Research Project for financial supporting this work (No. 2016JM6026).

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