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Mikołaj J. Smyczyński - One of the best experts on this subject based on the ideXlab platform.

  • Buckling of symmetrical circular sandwich plates with variable mechanical properties of the core in the radial direction
    Composite Structures, 2018
    Co-Authors: Ewa Magnucka-blandzi, Karolina Wiśniewska-mleczko, Mikołaj J. Smyczyński
    Abstract:

    Abstract The study is devoted to thin-walled clamped symmetrical three-layer circular plate. The sandwich plate consists of two facings, and a metal foam core. The mechanical properties of the core plate vary along its radius, remaining constant in the facings. The main goal of the study is to elaborate a mathematical model of the compressed circular plate in its Middle Plane, analytical description and solution of the global buckling problem. The nonlinear hypothesis of deformation of the normal to the Middle Plane of the plate is formulated. The equations of equilibrium are derived based on the principle of stationary total potential energy. The proposed mathematical model of the displacements considers the shear effect. The analytical model is verified numerically with the use of Finite Element Analysis.

S. Karczmarzyk - One of the best experts on this subject based on the ideXlab platform.

  • An Efficient Four-Variable I-L Nonlocal Static Model of Unsymmetrical Sandwich Rectangular Plate with Laminated Facings
    Composite Structures, 2020
    Co-Authors: S. Karczmarzyk
    Abstract:

    Abstract This paper presents a new, simple, containing only four unknown functions, individual-layer, static model for rectangular sandwich plate unsymmetrical with respect to its Middle Plane. The shear strains in the outer layers of the plate are neglected while the shear strains in the Middle layer are variable and equivalent to zero on its outer surfaces. Local constitutive models of the layers consistent with the assumed kinematics are derived. A detailed analysis of all partial problems is presented. In order to determine the unknown functions, appearing in the kinematic model assumed, one needs to solve a set of three coupled partial differential equations and separately the fourth governing equation that contains only one unknown function. In the case of the plate symmetrical about its Middle Plane only two uncoupled partial differential equations for the bending problem must be solved. Deflections predicted by the present model for a symmetrical sandwich plate are compared with counterparts, existing in the literature, predicted by two theories that include flexibility of the Middle layer of the plate. Good agreement of these results has been obtained.

Ewa Magnucka-blandzi - One of the best experts on this subject based on the ideXlab platform.

  • Buckling of symmetrical circular sandwich plates with variable mechanical properties of the core in the radial direction
    Composite Structures, 2018
    Co-Authors: Ewa Magnucka-blandzi, Karolina Wiśniewska-mleczko, Mikołaj J. Smyczyński
    Abstract:

    Abstract The study is devoted to thin-walled clamped symmetrical three-layer circular plate. The sandwich plate consists of two facings, and a metal foam core. The mechanical properties of the core plate vary along its radius, remaining constant in the facings. The main goal of the study is to elaborate a mathematical model of the compressed circular plate in its Middle Plane, analytical description and solution of the global buckling problem. The nonlinear hypothesis of deformation of the normal to the Middle Plane of the plate is formulated. The equations of equilibrium are derived based on the principle of stationary total potential energy. The proposed mathematical model of the displacements considers the shear effect. The analytical model is verified numerically with the use of Finite Element Analysis.

  • Approximate solutions of equilibrium equations of sandwich circular plate
    2013
    Co-Authors: Ewa Magnucka-blandzi, Leszek Wittenbeck
    Abstract:

    The paper is devoted to a sandwich circular plate consisting of two facings and a core with variable mechanical properties. The simply supported plate is compressed in the Middle Plane. The mathematical and physical model of the plate is formulated, and also the field of displacements. The system of equilibrium equations is derived basing on the principle of the total potential energy. Then the system is approximately solved. Three formulas for an unknown function of displacements are assumed. The solutions (critical loads) are compared and presented in Figures and Tables.

Weiping Zhang - One of the best experts on this subject based on the ideXlab platform.

  • Effects of Middle Plane curvature on vibrations of a thickness-shear mode crystal resonator
    International Journal of Solids and Structures, 2006
    Co-Authors: Jiashi Yang, Xiaomeng Yang, Joseph A. Turner, J.a. Kosinski, R.a. Pastore, Weiping Zhang
    Abstract:

    Abstract We study the effects of a small curvature of the Middle Plane of a thickness-shear mode crystal plate resonator on its vibration frequencies, modes and acceleration sensitivity. Two-dimensional equations for coupled thickness-shear, flexural and extensional vibrations of a shallow shell are used. The equations are simplified to a single equation for thickness-shear, and two equations for coupled thickness-shear and extension. Equations with different levels of coupling are used to study vibrations of rotated Y-cut quartz and langasite resonators. The influence of the Middle Plane curvature and coupling to extension is examined. The effect of Middle Plane curvature on normal acceleration sensitivity is also studied. It is shown that the Middle Plane curvature causes a frequency shift as large as 10 −8  g −1 under a normal acceleration. These results have practical implications for the design of concave–convex and plano-convex resonators.

Yonggang Meng - One of the best experts on this subject based on the ideXlab platform.

  • Shear-strain-governed transient compressive response of electrorheological fluid
    Applied Physics Letters, 2006
    Co-Authors: Yu Tian, Yonggang Meng
    Abstract:

    Transient process of electrorheological (ER) fluids compressed between two parallel plates and applied a high square-wave voltage has been modeled based on transient shear strain constant and shear stress and experimentally verified. The transient compressive resistance is integrated from the pressure distribution at the Middle Plane between the plates. Employing transient shear strain constant derived from other experimental investigations of dynamic shearing of ER fluids to fit the tested compressive stress, good results have been obtained. The rising of compressive stress upon the sudden applying of an electric field showed to be governed by the experienced shear strain of the compressed ER fluid.