Buckling Behavior

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Francesco Tornabene - One of the best experts on this subject based on the ideXlab platform.

  • Buckling Behavior of nanobeams placed in electromagnetic field using shifted chebyshev polynomials based rayleigh ritz method
    Nanomaterials, 2019
    Co-Authors: Subrat Kumar Jena, S Chakraverty, Francesco Tornabene
    Abstract:

    In the present investigation, the Buckling Behavior of Euler-Bernoulli nanobeam, which is placed in an electro-magnetic field, is investigated in the framework of Eringen's nonlocal theory. Critical Buckling load for all the classical boundary conditions such as "Pined-Pined (P-P), Clamped-Pined (C-P), Clamped-Clamped (C-C), and Clamped-Free (C-F)" are obtained using shifted Chebyshev polynomials-based Rayleigh-Ritz method. The main advantage of the shifted Chebyshev polynomials is that it does not make the system ill-conditioning with the higher number of terms in the approximation due to the orthogonality of the functions. Validation and convergence studies of the model have been carried out for different cases. Also, a closed-form solution has been obtained for the "Pined-Pined (P-P)" boundary condition using Navier's technique, and the numerical results obtained for the "Pined-Pined (P-P)" boundary condition are validated with a closed-form solution. Further, the effects of various scaling parameters on the critical Buckling load have been explored, and new results are presented as Figures and Tables. Finally, Buckling mode shapes are also plotted to show the sensitiveness of the critical Buckling load.

  • numerical study on the free vibration and thermal Buckling Behavior of moderately thick functionally graded structures in thermal environments
    Composite Structures, 2016
    Co-Authors: Ramkumar Kandasamy, Rossana Dimitri, Francesco Tornabene
    Abstract:

    Abstract This paper is aimed at studying the free vibration and thermal Buckling Behavior of moderately thick functionally graded material (FGM) structures including plates, cylindrical panels and shells under thermal environments. A numerical investigation is performed by applying the finite element method (FEM). A formulation based on the first-order shear deformation theory (FSDT) is proposed for the purpose, which considers the effects of the transverse shear strain and rotary inertia. A graded concept is employed to allow the material property to vary gradually inside the elements. The proposed FGM structures are characterized by two constituents (ceramic and metal) whose material properties are dependent on the temperature and vary continuously throughout the thickness according to a power law distribution proportional to the volume fraction of the constituents. Two different sets of power law distribution are used to describe the volume fraction of the constituents, based on a single, or four parameters. Based on a parametric analysis, we demonstrate the potentials of the proposed method through its comparison with results available from the literature and by means of a convergence study. Several numerical examples are further presented to investigate the effects of material compositions, geometrical parameters, specified thermal loading and boundary conditions on the free vibration and thermal Buckling Behavior of these structures. The effect of initial thermal stresses on the vibration Behavior is also investigated for plate and shell structures.

Zuyan Shen - One of the best experts on this subject based on the ideXlab platform.

  • Flexural-torsional Buckling Behavior of aluminum alloy beams
    Frontiers of Structural and Civil Engineering, 2014
    Co-Authors: Zhe Xiong, Zuyan Shen
    Abstract:

    This paper presents an investigation on the flexural-torsional Buckling Behavior of aluminum alloy beams (AAB). First, based on the tests of 14 aluminum alloy beams under concentrated loads, the failure pattern, load-deformation curves, bearing capacity and flexural-torsional Buckling factor are studied. It is found that all the beam specimens collapsed in the flexural-torsional Buckling with excessive deformation pattern. Moreover, the span, loading location and slenderness ratio influence the flexural-torsional Buckling capacity of beams significantly. Secondly, besides the experiments, a finite element method (FEM) analysis on the flexural-torsional Buckling Behavior of AAB is also conducted. The main parameters in the FEM analysis are initial imperfection, material property, cross-section and loading scheme. According to the analytical results, it is indicated that the FEM is reasonable to capture mechanical Behavior of AAB. Finally, on the basis of the experimental and analytical results, theoretical formulae to estimate the flexural-torsional Buckling capacity of AAB are proposed, which could improve the application of present codes for AAB.

Abdullah H. Sofiyev - One of the best experts on this subject based on the ideXlab platform.

  • the effect of non homogeneity on the non linear Buckling Behavior of laminated orthotropic conical shells
    Composites Part B-engineering, 2012
    Co-Authors: Abdullah H. Sofiyev, N Kuruoglu, A M Najafov
    Abstract:

    Abstract In this work, the Buckling Behavior of the cross-ply laminated non-homogeneous orthotropic truncated conical shells in the large deformation under the uniform axial load is studied. Firstly, the basic relations of the cross-ply laminated non-homogeneous orthotropic truncated conical shells are derived using the large deformation theory. Then modified Donnell type non-linear stability and compatibility equations are obtained and solved. A computer program called Maple 14 has been used in the numerical solution. Finally, the influences of the degree of non-homogeneity, the number and ordering of layers and the variations of the conical shell characteristics on the non-linear axial Buckling load are investigated. The comparison with available results is satisfactorily good.

  • non linear Buckling Behavior of fgm truncated conical shells subjected to axial load
    International Journal of Non-linear Mechanics, 2011
    Co-Authors: Abdullah H. Sofiyev
    Abstract:

    Abstract In this study, the non-linear Buckling Behavior of truncated conical shells made of functionally graded materials (FGMs), subject to a uniform axial compressive load, has been investigated using the large deformation theory with von the Karman–Donnell-type of kinematic non-linearity. The material properties of functionally graded shells are assumed to vary continuously through the thickness of the shell. The variation of properties followed an arbitrary distribution in terms of the volume fractions of the constituents. The fundamental relations, the modified Donnell type non-linear stability and compatibility equations of functionally graded truncated conical shells are obtained and are solved by superposition and Galerkin methods and the upper and lower critical axial loads have been found analytically. Finally, the influences of the compositional profile variations and the variation of the shell geometry on the upper and lower critical axial loads are investigated. Comparing the results of this study with those in the literature validates the present analysis.

Yajuvindra Kumar - One of the best experts on this subject based on the ideXlab platform.

Julian J. Rimoli - One of the best experts on this subject based on the ideXlab platform.

  • A reduced-order model for the dynamic and post-Buckling Behavior of tensegrity structures
    Mechanics of Materials, 2016
    Co-Authors: Julian J. Rimoli
    Abstract:

    Traditional approaches for modeling the Behavior of tensegrity structures have their origin either on form-finding applications or on the desire to capture their quasi-static Behavior. As such, they generally assume that (i) bars are perfectly rigid, (ii) cables are linear elastic, and (iii) bars experience pure compression and strings pure tension. In addition, a common design constraint is to assume that the structure would fail whenever any of its bars reaches the corresponding Euler Buckling load. In reality, these assumptions tend to break down in the presence of dynamic events. In this work, we develop a physics-based reduced-order model to study aspects related to the dynamic and nonlinear response of tensegrity-based structures. With very few degrees of freedom, our model captures their Buckling and post-Buckling Behavior as well as their dynamic response. We then adopt our model to show how, under dynamic events, Buckling of individual members of a tensegrity structure does not necessarily imply structural failure. Our research suggests that efficient structural design of impact-tolerant tensegrity structures could be achieved by exploiting rather than avoiding the Buckling Behavior of its compression members.