Free Vibration Analysis

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Renato Natal Jorge - One of the best experts on this subject based on the ideXlab platform.

  • A quasi-3D sinusoidal shear deformation theory for the static and Free Vibration Analysis of functionally graded plates
    Composites Part B: Engineering, 2012
    Co-Authors: A. M. A. Neves, António J.m. Ferreira, C.m.c. Roque, Renato Natal Jorge, Erasmo Carrera, Maria Cinefra, Cristóvão M. Mota Soares
    Abstract:

    Abstract This paper presents an original hyperbolic sine shear deformation theory for the bending and Free Vibration Analysis of functionally graded plates. The theory accounts for through-the-thickness deformations. Equations of motion and boundary conditions are obtained using Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions. The efficiency of the present approach combining the new theory with this meshless technique is demonstrated in several numerical examples, for the static and Free Vibration Analysis of functionally graded plates. Excellent agreement for simply-supported plates with other literature results has been found.

  • Static and Free Vibration Analysis of composite shells by radial basis functions
    Engineering Analysis with Boundary Elements, 2006
    Co-Authors: António J.m. Ferreira, C.m.c. Roque, Renato Natal Jorge
    Abstract:

    The higher-order shear deformation theory of laminated orthotropic elastic shells of Reddy accounts for parabolic distribution of the transverse shear strains through the thickness of the shell. The Reddy shell theory allows the fulfillment of homogeneous conditions (zero values) at the top and bottom surfaces of the shell. This paper deals with a meshless solution of the Reddy higher order shell theory in static and Free Vibration Analysis. The meshless technique is based on the asymmetric global multiquadric radial basis function method proposed by Kansa. This paper demonstrates that this truly meshless method is very successful in the static and Free Vibration Analysis of laminated composite shells.

Cristóvão M. Mota Soares - One of the best experts on this subject based on the ideXlab platform.

  • A quasi-3D sinusoidal shear deformation theory for the static and Free Vibration Analysis of functionally graded plates
    Composites Part B: Engineering, 2012
    Co-Authors: A. M. A. Neves, António J.m. Ferreira, C.m.c. Roque, Renato Natal Jorge, Erasmo Carrera, Maria Cinefra, Cristóvão M. Mota Soares
    Abstract:

    Abstract This paper presents an original hyperbolic sine shear deformation theory for the bending and Free Vibration Analysis of functionally graded plates. The theory accounts for through-the-thickness deformations. Equations of motion and boundary conditions are obtained using Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions. The efficiency of the present approach combining the new theory with this meshless technique is demonstrated in several numerical examples, for the static and Free Vibration Analysis of functionally graded plates. Excellent agreement for simply-supported plates with other literature results has been found.

António J.m. Ferreira - One of the best experts on this subject based on the ideXlab platform.

  • A quasi-3D sinusoidal shear deformation theory for the static and Free Vibration Analysis of functionally graded plates
    Composites Part B: Engineering, 2012
    Co-Authors: A. M. A. Neves, António J.m. Ferreira, C.m.c. Roque, Renato Natal Jorge, Erasmo Carrera, Maria Cinefra, Cristóvão M. Mota Soares
    Abstract:

    Abstract This paper presents an original hyperbolic sine shear deformation theory for the bending and Free Vibration Analysis of functionally graded plates. The theory accounts for through-the-thickness deformations. Equations of motion and boundary conditions are obtained using Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions. The efficiency of the present approach combining the new theory with this meshless technique is demonstrated in several numerical examples, for the static and Free Vibration Analysis of functionally graded plates. Excellent agreement for simply-supported plates with other literature results has been found.

  • Static and Free Vibration Analysis of composite shells by radial basis functions
    Engineering Analysis with Boundary Elements, 2006
    Co-Authors: António J.m. Ferreira, C.m.c. Roque, Renato Natal Jorge
    Abstract:

    The higher-order shear deformation theory of laminated orthotropic elastic shells of Reddy accounts for parabolic distribution of the transverse shear strains through the thickness of the shell. The Reddy shell theory allows the fulfillment of homogeneous conditions (zero values) at the top and bottom surfaces of the shell. This paper deals with a meshless solution of the Reddy higher order shell theory in static and Free Vibration Analysis. The meshless technique is based on the asymmetric global multiquadric radial basis function method proposed by Kansa. This paper demonstrates that this truly meshless method is very successful in the static and Free Vibration Analysis of laminated composite shells.

C.m.c. Roque - One of the best experts on this subject based on the ideXlab platform.

  • A quasi-3D sinusoidal shear deformation theory for the static and Free Vibration Analysis of functionally graded plates
    Composites Part B: Engineering, 2012
    Co-Authors: A. M. A. Neves, António J.m. Ferreira, C.m.c. Roque, Renato Natal Jorge, Erasmo Carrera, Maria Cinefra, Cristóvão M. Mota Soares
    Abstract:

    Abstract This paper presents an original hyperbolic sine shear deformation theory for the bending and Free Vibration Analysis of functionally graded plates. The theory accounts for through-the-thickness deformations. Equations of motion and boundary conditions are obtained using Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions. The efficiency of the present approach combining the new theory with this meshless technique is demonstrated in several numerical examples, for the static and Free Vibration Analysis of functionally graded plates. Excellent agreement for simply-supported plates with other literature results has been found.

  • Static and Free Vibration Analysis of composite shells by radial basis functions
    Engineering Analysis with Boundary Elements, 2006
    Co-Authors: António J.m. Ferreira, C.m.c. Roque, Renato Natal Jorge
    Abstract:

    The higher-order shear deformation theory of laminated orthotropic elastic shells of Reddy accounts for parabolic distribution of the transverse shear strains through the thickness of the shell. The Reddy shell theory allows the fulfillment of homogeneous conditions (zero values) at the top and bottom surfaces of the shell. This paper deals with a meshless solution of the Reddy higher order shell theory in static and Free Vibration Analysis. The meshless technique is based on the asymmetric global multiquadric radial basis function method proposed by Kansa. This paper demonstrates that this truly meshless method is very successful in the static and Free Vibration Analysis of laminated composite shells.

Seungeock Kim - One of the best experts on this subject based on the ideXlab platform.

  • a simple higher order shear deformation theory for bending and Free Vibration Analysis of functionally graded plates
    Composite Structures, 2013
    Co-Authors: Huu-tai Thai, Seungeock Kim
    Abstract:

    Abstract In this paper, a new higher-order shear deformation theory for bending and Free Vibration Analysis of functionally graded plates is developed. The present theory has only four unknowns, but it accounts for a parabolic variation of transverse shear strains through the thickness of the plate. A shear correction factor is, therefore, not required. Equations of motion are derived from Hamilton’s principle. Analytical solutions for the bending and Free Vibration Analysis are obtained for simply supported plates. The obtained results are compared with 3D and quasi-3D solutions and those predicted by other plate theories. Results show that the present theory can achieve the same accuracy of the existing higher-order shear deformation theories which have more number of unknowns, but its accuracy is not comparable with those of 3D and quasi-3D models which include the thickness stretching effect.