The Experts below are selected from a list of 7614 Experts worldwide ranked by ideXlab platform

David Steigmann - One of the best experts on this subject based on the ideXlab platform.

  • Thin-Plate Theory for large elastic deformations
    International Journal of Non-Linear Mechanics, 2007
    Co-Authors: David Steigmann
    Abstract:

    Non-linear Plate Theory for Thin prismatic elastic bodies is obtained by estimating the total three-dimensional strain energy generated in response to a given deformation in terms of the small Plate thickness. The Euler equations for the estimate of the energy are regarded as the equilibrium equations for the Thin Plate. Included among them are algebraic formulae connecting the gradients of the midsurface deformation to the through-thickness derivatives of the three-dimensional deformation. These are solvable provided that the three-dimensional strain energy is strongly elliptic at equilibrium. This framework yields restrictions of the Kirchhoff-Love type that are usually imposed as constraints in alternative formulations. In the present approach they emerge as consequences of the stationarity of the energy without the need for any a priori restrictions on the three-dimensional deformation apart from a certain degree of differentiability in the direction normal to the Plate.

Dimitriadis Grigorios - One of the best experts on this subject based on the ideXlab platform.

  • Limit cycle oscillations of cantilever rectangular wings designed using topology optimisation
    'American Institute of Aeronautics and Astronautics (AIAA)', 2020
    Co-Authors: Munk D. J., Dooner D., Best F., Vio G. A., Giannelis N. F., Murray A. J., Dimitriadis Grigorios
    Abstract:

    A closed form state-space model for the nonlinear aeroelastic response of Thin cantilevered flat Plates is derived using a combination of von Karman Thin Plate Theory and a linearized continuous time vortex lattice aerodynamic model. The modal-based model is solved for the amplitude and period of the limit cycles of the flat Plates using numerical continuation. The resulting predictions are compared to experimental data obtained from identical flat Plates in the wind tunnel. Both conventional and topologically optimised flat rectangular Plates are investigated. It is shown that the aeroelastic model predicts the linear flutter conditions and nonlinear response of the Plates with reasonable accuracy, although the predicted limit cycle amplitude variation with airspeed is different to the one measured experimentally due to unmodelled physics

  • Limit cycle oscillations of cantilever rectangular wings designed using topology optimisation
    'American Institute of Aeronautics and Astronautics (AIAA)', 2020
    Co-Authors: Munk D. J., Dooner D., Best F., Vio G. A., Giannelis N. F., Murray A. J., Dimitriadis Grigorios
    Abstract:

    audience: researcher, professionalA closed form state-space model for the nonlinear aeroelastic response of Thin cantilevered flat Plates is derived using a combination of von Karman Thin Plate Theory and a linearized continuous time vortex lattice aerodynamic model. The modal-based model is solved for the amplitude and period of the limit cycles of the flat Plates using numerical continuation. The resulting predictions are compared to experimental data obtained from identical flat Plates in the wind tunnel. Both conventional and topologically optimised flat rectangular Plates are investigated. It is shown that the aeroelastic model predicts the linear flutter conditions and nonlinear response of the Plates with reasonable accuracy, although the predicted limit cycle amplitude variation with airspeed is different to the one measured experimentally due to unmodelled physics

  • Modelling the limit cycle oscillations of flat Plate wings using inextensible Plate Theory and the vortex lattice method
    2020
    Co-Authors: Campanale Angelo, Dimitriadis Grigorios, Soria Leonardo, Kerschen Gaëtan
    Abstract:

    audience: researcher, professionalA closed form state-space model of the nonlinear aeroelastic response of Thin cantilevered flat Plates is derived using a combination of Inextensible Thin Plate Theory and a linearized continuous time vortex lattice aerodynamic model. The modal-based model is solved for the amplitude and period of the limit cycles of the flat Plates using numerical integration. The resulting predictions are compared to theoretical predictions obtained using Von K´arm´an Thin Plate Theory for an identical flat Plate. It is shown that the aeroelastic model predicts the linear flutter conditions and nonlinear response of the Plates with reasonable accuracy and the Limit Cycle Oscillation (LCO) amplitude, calculated from the inextensible Plate Theory, has an initial curvature very similar to the one obtained during of experimental test on similar Plates, contrary to the amplitude predictions of the Von-Karman model. This striking feature is very encouraging for future experimental and numerical work

  • Modelling the limit cycle oscillations of flat Plate wings using inextensible Plate Theory and the vortex lattice method
    2020
    Co-Authors: Campanale Angelo, Dimitriadis Grigorios, Soria Leonardo, Kerschen Gaëtan
    Abstract:

    A closed form state-space model of the nonlinear aeroelastic response of Thin cantilevered flat Plates is derived using a combination of Inextensible Thin Plate Theory and a linearized continuous time vortex lattice aerodynamic model. The modal-based model is solved for the amplitude and period of the limit cycles of the flat Plates using numerical integration. The resulting predictions are compared to theoretical predictions obtained using Von K´arm´an Thin Plate Theory for an identical flat Plate. It is shown that the aeroelastic model predicts the linear flutter conditions and nonlinear response of the Plates with reasonable accuracy and the Limit Cycle Oscillation (LCO) amplitude, calculated from the inextensible Plate Theory, has an initial curvature very similar to the one obtained during of experimental test on similar Plates, contrary to the amplitude predictions of the Von-Karman model. This striking feature is very encouraging for future experimental and numerical work

Luciano Demasi - One of the best experts on this subject based on the ideXlab platform.

  • three dimensional closed form solutions and exact Thin Plate theories for isotropic Plates
    Composite Structures, 2007
    Co-Authors: Luciano Demasi
    Abstract:

    A Navier-type method for finding the exact three-dimensional solution for isotropic thick and Thin rectangular Plates is presented. The method uses the Mixed Form of Hooke’s Law (MFHL) which leads one to write the boundary conditions on the top and bottom surfaces of the Plate directly in terms of transverse stresses. The solution is found by solving a first order system of differential equations in the unknown amplitudes of the displacements and stresses. This leads to an eigenvalue problem in which only two (over a total of six) eigenvalues are distinct. Therefore, a basis of eigenvectors is not available and two generalized eigenvectors have to be found. The solution is a combination of the eigenvectors and generalized eigenvectors multiplied by functions of the out-of-plane coordinate z. The paper also presents exact closed form expressions (function of the geometry and material properties) for the displacements and stresses for a simply supported rectangular Plate with sinusoidal pressure on the top surface. Three Thin Plate Theories are obtained by expanding the exact solution in Taylor series with respect to the parameter h/a, which is a measure of the accuracy of the two-dimensional theories. For small ratios h/a the Thin Plate Theory of order zero (the Classical Plate Theory CPT) works very well, but for thick Plates higher order terms of the series have to be taken into account in order to have good accuracy. Finally, a Plate subjected to two pressures on both the top and bottom surfaces is analyzed and the exact solution is compared with the quasi-3D results obtained by adopting the mixed assiomatic theories of order 5 and 10 presented here for the first time. � 2006 Elsevier Ltd. All rights reserved.

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

  • nonlocal Plate model for nonlinear vibration of single layer graphene sheets in thermal environments
    Computational Materials Science, 2010
    Co-Authors: Le Shen, Hui-shen Shen, Chenli Zhang
    Abstract:

    Abstract Nonlinear vibration behavior is presented for a simply supported, rectangular, single layer graphene sheet in thermal environments. The single layer graphene sheet is modeled as a nonlocal orthotropic Plate which contains small scale effects. The nonlinear vibration analysis is based on Thin Plate Theory with a von Karman-type of kinematic nonlinearity. The thermal effects are also included and the material properties are assumed to be temperature-dependent and are obtained from molecular dynamics simulations. The small scale parameter e 0 a is estimated by matching the natural frequencies of graphene sheets observed from the MD simulation results with the numerical results obtained from the nonlocal Plate model. The results show that with properly selected small scale parameters and material properties, the nonlocal Plate model can provide a remarkably accurate prediction of the graphene sheet behavior under nonlinear vibration in thermal environments.

J Dos M C Santos - One of the best experts on this subject based on the ideXlab platform.

  • flexural wave band gaps in a multi resonator elastic metamaterial Plate using kirchhoff love Theory
    Mechanical Systems and Signal Processing, 2019
    Co-Authors: Edson Jansen Pedrosa Miranda, Edilson Dantas Nobrega, Anderson Henrique Rodrigues Ferreira, J Dos M C Santos
    Abstract:

    Abstract We investigate theoretically the band structure of flexural waves propagating in an elastic metamaterial Thin Plate. Kirchhoff-Love Thin Plate Theory is considered. We study the influence of periodic arrays of multiple degrees of freedom local resonators in square and triangular lattices. Plane wave expansion and extended plane wave expansion methods, also known as ω ( k ) and k ( ω ) , respectively, are used to solve the governing equation of motion for a Thin Plate. The locally resonant band gaps for square and triangular lattices present almost the same attenuation for all examples analysed. However, square lattice presents broader Bragg-type band gaps with higher attenuation than triangular lattice. An experimental analysis is conducted with a real elastic metamaterial Thin Plate with resonators in a square lattice. Modal analysis and forced response are computed by finite element method. Plane wave expansion, finite element and experimental results present good agreement.