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Geomechanics and Engineering Volume 36, Number 4, February25 2024 , pages 407-416 DOI: https://doi.org/10.12989/gae.2024.36.4.407 |
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Dynamic bending of sandwich nanocomposite rock tunnels by concrete beams |
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Liji Long and D.L. Dung
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| Abstract | ||
| Dynamic response of a rock tunnels by laminated porous concrete beam reinforced by nanoparticles subjected to harmonic transverse dynamic load is investigated considering structural damping. The effective nanocomposite properties are evaluated on the basis of Mori-Tanaka model. The concrete beam is modeled by the exponential shear deformation theory (ESDT). Utilizing nonlinear strains-deflection, energy relations and Hamilton's principal, the governing final equations of the concrete laminated beam are calculated. Utilizing differential quadrature method (DQM) as well as Newmark method, the dynamic displacement of the concrete laminated beam is discussed. The influences of porosity parameter, nanoparticles volume percent, agglomeration of nanoparticles, boundary condition, geometrical parameters of the concrete beam and harmonic transverse dynamic load are studied on the dynamic displacement of the laminated structure. Results indicated that enhancing the nanoparticles volume percent leads to decrease in the dynamic displacement about 63%. In addition, with considering porosity of the concrete, the dynamic displacement enhances about 2.8 time. | ||
| Key Words | ||
| DQM; dynamic response; laminated concrete porous beam; nanoparticles; newmark method; rock tunnels | ||
| Address | ||
| Liji Long: Southwest Research Institute for Hydraulic and Water Transport Engineering, Chongqing Jiaotong University, Chongqing 400074, China D.L. Dung: Department of Mechanical Engineering, University of Hong Kong, Hong Kong | ||