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R A Shenoi - One of the best experts on this subject based on the ideXlab platform.

  • a higher order finite element theory for buckling and vibration analysis of initially stressed composite sandwich plates
    Journal of Sound and Vibration, 2005
    Co-Authors: A K Nayak, S S J Moy, R A Shenoi
    Abstract:

    A simple isoparametric assumed strain finite element formulation incorporating a third-order polynomial displacement model for the buckling and vibration analysis of initially stressed composite sandwich laminates is presented. The displacement model involves a nonlinear distribution of in-plane displacements through the plate thickness; the theory does not require shear correction coefficients. A nine-noded quadratic Lagrangian two-dimensional element is used with three displacements, two rotations of the normals about the plate midplane, and two warps of the normals. Full integration is carried out to evaluate various terms in the energy formulation. A Consistent Mass Matrix is employed to preserve the total kinetic energy of the system. The accuracy of the present formulation is verified with the existing results in the literature. Numerical results are presented for the stability and free vibration of initially stressed composite sandwich plates.

  • free vibration analysis of composite sandwich plates based on reddy s higher order theory
    Composites Part B-engineering, 2002
    Co-Authors: A K Nayak, S S J Moy, R A Shenoi
    Abstract:

    Two new C0 assumed strain finite element formulations of Reddy's higher-order theory are used to determine the natural frequencies of isotropic, orthotropic, and layered anisotropic composite and sandwich plates. The material properties typical of glass fibre polyester resins for the skin and HEREX C70 PVC (polyvinyl chloride) foam materials for the core are used to show the parametric effects of plate aspect ratio, length-to-thickness ratio, degree of orthotropy, number of layers and lamination scheme on the natural frequencies. A Consistent Mass Matrix is adopted in the present formulation. The results presented in this investigation could be useful for a better understanding of the behaviour of sandwich laminates under free vibration conditions and potentially beneficial for designers of sandwich structures.

  • analysis of damped composite sandwich plates using plate bending elements with substitute shear strain fields based on reddy s higher order theory
    Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 2002
    Co-Authors: A K Nayak, R A Shenoi, S S J Moy
    Abstract:

    AbstractTwo new C0 assumed strain finite element formulations of Reddy's higher-order theory are used to determine the natural frequencies and loss factors of layered anisotropic composite and sandwich plates. Material properties typical of fibre polyester resins for the skin and HEREX C70 PVC foam damping materials for cores are used to show the parametric effects of plate aspect ratio, length-thickness ratio on natural frequencies and loss factors. A Consistent Mass Matrix is adopted in the present formulation. Both frequency-independent and frequency-dependent damping of viscoelastic materials are considered. The developed elements are free from spurious zero energy modes due to the assumed strain approach.

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

  • lumped Mass Matrix in explicit finite element method for transient dynamics of elasticity
    Computer Methods in Applied Mechanics and Engineering, 2006
    Co-Authors: Shen R Wu
    Abstract:

    Abstract The Mass Matrix of structural dynamics is discussed for the approximations by linear elements with constant Jacobians. The a-priori error estimate is derived for the explicit finite element method using diagonal Mass Matrix. With smooth solutions, it is shown that by using diagonal Mass Matrix or Consistent Mass Matrix, the displacement, velocity, and the energies have the same convergence rates. In fact, the difference in numerical errors by these two methods is of order h2. The same conclusion is valid for a certain type of Reissner–Mindlin plate element for transient dynamics.

A K Nayak - One of the best experts on this subject based on the ideXlab platform.

  • a higher order finite element theory for buckling and vibration analysis of initially stressed composite sandwich plates
    Journal of Sound and Vibration, 2005
    Co-Authors: A K Nayak, S S J Moy, R A Shenoi
    Abstract:

    A simple isoparametric assumed strain finite element formulation incorporating a third-order polynomial displacement model for the buckling and vibration analysis of initially stressed composite sandwich laminates is presented. The displacement model involves a nonlinear distribution of in-plane displacements through the plate thickness; the theory does not require shear correction coefficients. A nine-noded quadratic Lagrangian two-dimensional element is used with three displacements, two rotations of the normals about the plate midplane, and two warps of the normals. Full integration is carried out to evaluate various terms in the energy formulation. A Consistent Mass Matrix is employed to preserve the total kinetic energy of the system. The accuracy of the present formulation is verified with the existing results in the literature. Numerical results are presented for the stability and free vibration of initially stressed composite sandwich plates.

  • free vibration analysis of composite sandwich plates based on reddy s higher order theory
    Composites Part B-engineering, 2002
    Co-Authors: A K Nayak, S S J Moy, R A Shenoi
    Abstract:

    Two new C0 assumed strain finite element formulations of Reddy's higher-order theory are used to determine the natural frequencies of isotropic, orthotropic, and layered anisotropic composite and sandwich plates. The material properties typical of glass fibre polyester resins for the skin and HEREX C70 PVC (polyvinyl chloride) foam materials for the core are used to show the parametric effects of plate aspect ratio, length-to-thickness ratio, degree of orthotropy, number of layers and lamination scheme on the natural frequencies. A Consistent Mass Matrix is adopted in the present formulation. The results presented in this investigation could be useful for a better understanding of the behaviour of sandwich laminates under free vibration conditions and potentially beneficial for designers of sandwich structures.

  • analysis of damped composite sandwich plates using plate bending elements with substitute shear strain fields based on reddy s higher order theory
    Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 2002
    Co-Authors: A K Nayak, R A Shenoi, S S J Moy
    Abstract:

    AbstractTwo new C0 assumed strain finite element formulations of Reddy's higher-order theory are used to determine the natural frequencies and loss factors of layered anisotropic composite and sandwich plates. Material properties typical of fibre polyester resins for the skin and HEREX C70 PVC foam damping materials for cores are used to show the parametric effects of plate aspect ratio, length-thickness ratio on natural frequencies and loss factors. A Consistent Mass Matrix is adopted in the present formulation. Both frequency-independent and frequency-dependent damping of viscoelastic materials are considered. The developed elements are free from spurious zero energy modes due to the assumed strain approach.

Tarun Kant - One of the best experts on this subject based on the ideXlab platform.

  • Transient dynamic analysis of higher order sandwich and composite arches
    Composite Structures, 2011
    Co-Authors: Sudhakar R. Marur, Tarun Kant
    Abstract:

    A higher order refined model with isoparametric elements is proposed to study the transient dynamic response of laminated arches/curved beams. The strain field is modeled through cubic axial, cubic transverse shear and linear transverse normal strain components. As the cross-sectional warping is accurately modeled by this theory, the shear correction factor is rendered redundant. The stress–strain relationship is derived from an orthotropic lamina in a three-dimensional state of stress, so that angle-ply laminates can be studied through one-dimensional elements. Consistent Mass Matrix is constituted for the equation of motion, which is solved by Newmark integration scheme. The higher order formulation is validated with available results and subsequently applied to arches with various curvatures, aspect ratios, boundary conditions, loadings and lamination schemes to evaluate its transient dynamic performance and suitable conclusions are drawn.

Duan Zhuping - One of the best experts on this subject based on the ideXlab platform.