• Title/Summary/Keyword: deflection theory

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Dynamic bending analysis of laminated porous concrete beam reinforced by nanoparticles considering porosity effects

  • Karegar, Mohammad;Bidgoli, Mahmood Rabani;Mazaheri, Hamid
    • Steel and Composite Structures
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    • v.43 no.1
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    • pp.129-137
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    • 2022
  • Dynamic response of a 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 sinusoidal shear deformation theory (SSDT). 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.

Assessment of nonlinear stability of geometrically imperfect nanoparticle-reinforced beam based on numerical method

  • Zheng, Yuxin;Jin, Hongwei;Jiang, Congying
    • Advances in nano research
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    • v.13 no.2
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    • pp.113-120
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    • 2022
  • In this paper, a finite element (FE) simulation has been developed in order to examine the nonlinear stability of reinforced sandwich beams with graphene oxide powders (GOPs). In this regard, the nonlinear stability curves have been obtained asuming that the beam is under compressive loads leading to its buckling. The beam is considered to be a three-layered sandwich beam with metal core and GOP reinforced face sheets and it is rested on elastic substrate. Moreover, a higher-order refined beam theory has been considered to formulate the sandwich beam by employing the geometrically perfect and imperfect beam configurations. In the solving procedure, the utalized finite element simulation contains a novel beam element in which shear deformation has been included. The calculated stability curves of GOP-reinforced sandwich beams are shown to be dependent on different parameters such as GOP amount, face sheet thickness, geometrical imperfection and also center deflection.

A geometrically nonlinear stability analysis of sandwich annular plates with cellular core

  • Ridha A., Ahmed;Kareem Mohsen, Raheef;Nadhim M., Faleh;Raad M., Fenjan
    • Steel and Composite Structures
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    • v.45 no.5
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    • pp.767-774
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    • 2022
  • A geometrically nonlinear stability analysis of sandwich annular plates with cellular core and particle-reinforced composite layers has been performed in the present research. The particles are powders of graphene oxide (GOP) which act as nanoscale filler of epoxy matrix. To this regard, Halpin-Tsai micromechanical scheme has been used to define the material properties of the layers. A square shaped core has been considered for which the material properties have been defined based on the relative density concept. Large deflection theory of thin shells has been selected to develop the complete formulation of sandwich plate. The geometrically nonlinear stability analysis of sandwich annular plates has been carried out by indicating that the buckling load is dependent on particle amount, thickness of layer and core relative density.

An exact solution of dynamic response of DNS with a medium viscoelastic layer by moving load

  • S.A.H. Hosseini;O. Rahmani;H. Hayati;M. Keshtkar
    • Advances in materials Research
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    • v.12 no.3
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    • pp.193-210
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    • 2023
  • This paper aims to analyze the dynamic response of a double nanobeam system with a medium viscoelastic layer under a moving load. The governing equations are based on the Eringen nonlocal theory. A thin viscoelastic layer has coupled two nanobeams together. An exact solution is derived for each nanobeam, and the dynamic deflection is achieved. The effect of parameters such as nonlocal parameter, velocity of moving load, spring coefficient and the viscoelastic layer damping ratio was studied. The results showed that the effect of the nonlocal parameter is significantly important and the classical theories are not suitable for nano and microstructures.

Analysis of Axial Inviscide Flow around 2-Dimensional Blade for Large Camber Angle (Camber Angle이 큰 축류 터어보 기계의 blade주위의 2차원 비점성 유동해석)

  • Son B.J.;Maeng J.S.;Lee K.S;Won S.H.
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.16 no.5
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    • pp.493-503
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    • 1987
  • The theory of cascade flow analysis for large deflection was suggested lately, but this as-sumed to be incompressible and inviscid, the blades of negligible thickness. In this study, the fluid is assumed to be compressible and inviscide, the blades of given thickness, and using the mean vorticity pannel method the effects of increasing camber angle are analyzed. As the result of this study, it is found that the calculated flow regimes have good agreement with the existing experimented data and other calculation results.

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Nonlinear low-velocity impact response of graphene platelets reinforced metal foams doubly curved shells

  • Hao-Xuan Ding;Yi-Wen Zhang;Yin-Ping Li;Gui-Lin She
    • Steel and Composite Structures
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    • v.49 no.3
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    • pp.281-291
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    • 2023
  • Due to the fact that the nonlinear low-velocity impact response of graphene platelets reinforced metal foams (GPLRMF) doubly curved shells have not been investigated in the existing works, this paper aims to solve this issue. Using Reddy's high-order shear deformation theory (HSDT), the nonlinear governing equations of GPLRMF doubly curved shells are obtained by Euler-Lagrange method, discretized by Galerkin principle, and solved by the fourth-order Runge-Kutta method to obtain the impact force and central deflection. The nonlinear Hertz contact law is applied to determine the contact force. Finally, the impacts of graphene platelets (GPLs) distribution pattern, porosity distribution form, porosity coefficient, damping coefficient, impact parameters (radius and initial velocity), GPLs weight fraction, pre-stressing force and different shell types on the low-velocity impact curves are analyzed. It can be found that, among the four shell structures, the impact resistance of spherical shell is the best, while that of cylindrical shell is the worst.

On dynamic response and economic of sinusoidal porous laminated nanocomposite beams using numerical method

  • Guixiao Xu;F. Ming
    • Steel and Composite Structures
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    • v.49 no.3
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    • pp.349-359
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    • 2023
  • Dynamic response and economic of a 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 sinusoidal shear deformation theory (SSDT). 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.

Stability of an improved optimization iterative algorithm to study vibrations of the multi-scale solar cells subjected to wind excitation using Series-Fourier algorithm

  • Jing Pan;Yi Hu;Guanghua Zhang
    • Steel and Composite Structures
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    • v.50 no.1
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    • pp.45-61
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    • 2024
  • This research explores the domain of organic solar cells, a photovoltaic technology employing organic electronics, which encompasses small organic molecules and conductive polymers for efficient light absorption and charge transport, leading to electricity generation from sunlight. A computer simulation is employed to scrutinize resonance and dynamic stability in OSCs, with a focus on size effects introduced by nonlocal strain gradient theory, incorporating additional terms in the governing equations related to displacement and time. Initially, the Navier method serves as an analytical solver to delve into the dynamics of design points. The accuracy of this initial step is verified through a meticulous comparison with high-quality literature. The findings underscore the substantial impact of viscoelastic foundations, size-dependent parameters, and geometric factors on the stability and dynamic deflection of OSCs, with a noteworthy emphasis on the amplified influence of size-dependent parameters in higher values of the different layers' thicknesses.

Dynamic bending of sandwich nanocomposite rock tunnels by concrete beams

  • Liji Long;D.L. Dung
    • Geomechanics and Engineering
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    • v.36 no.4
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    • pp.407-416
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    • 2024
  • 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.

Subparametric Element Based on Partial-linear Layerwise Theory for the Analysis of Orthotropic Laminate Composites (직교이방성 적층구조 해석을 위한 부분-선형 층별이론에 기초한 저매개변수요소)

  • Ahn, Jae-Seok;Woo, Kwang-Sung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.2
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    • pp.189-196
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    • 2009
  • This paper presents the subparametric finite element model formulated by partial-linear layerwise theory for the analysis of laminate composites. The proposed model is based on refined approximations of two dimensional plane for orthotropic thick laminate plate as well as thin case. Three dimensional problem can be reduced to two dimensional case by assuming piecewise linear variation of in-plane displacement and a constant value of out-of-plane displacement across the thickness. The integrals of Legendre polynomials are chosen to define displacement fields and Gauss-Lobatto numerical integration is implemented in order to directly obtain maximum values occurred at the nodal points of each layer without other extrapolation techniques. The validity and characteristics of the proposed model have been tested by using orthotropic multilayered plate problem as compared to the values available in the published references. In this study, the convergence test has been carried out to determine the optimal layer model in terms of central deflection and stresses. Also, the distribution of displacements and stresses across the thickness has been investigated as the number of layer is increased.