Static and dynamic analysis of plates using finite element and boundary element techniques — A bibliography (1992–1994)

doi:10.1016/0168-874X(95)90012-7

Finite Elements in Analysis and Design

Volume 20, Issue 2, June 1995, Pages 139-154

https://doi.org/10.1016/0168-874X(95)90012-7 Get rights and content

Abstract

This bibliography contains references to papers, conference proceedings and theses/dissertations dealing with finite element and boundary element methods applied in the analysis of plates that were published in 1992–1994.

References (249)

F. Auricchio et al.
A shear deformable plate element with an exact thin limit
Comput. Methods Appl. Mech. Eng.
(1994)
I. Babuska et al.
The problem of plate modeling: theoretical and computational results
Comput. Methods Appl. Mech. Eng.
(1992)
N.S. Bardell
The free vibration of skew plates using the hierarchical finite element method
Comput. Struct.
(1992)
M. Bernadou
C¹-curved finite elements with numerical integration for thin plate and thin shell problems, Part 1: Construction and interpolation properties
Comput. Methods Appl. Mech. Eng.
(1993)
M. Bernadou
C¹-curved finite elements with numerical integration for thin plate and thin shell problems, Part 2: Approximation of thin plate and thin shells
Comput. Methods Appl. Mech. Eng.
(1993)
M. Bernadou et al.
Curved finite elements of class C¹: Implementation and numerical experiments. Part 1: Construction and numerical tests of the interpolation
Comput. Methods Appl. Mech. Eng.
(1993)
R.S. Bhatia et al.
A novel method of generating exact stiffness matrices for axisymmetric thin plate and shell elements with special reference to an annular plate
Comput. Struct.
(1994)
C.D. Bradfield
Tests of long plates under biaxial compression
J. Constr. Steel Res.
(1993)
D. Briassoulis
The performance of a reformulated four-node plate bending element in moderately thick to very thin plate applications
Comput. Struct.
(1993)
D. Briassoulis
The four-node C⁰ Mindlin plate bending element reformulated, Part I: Formulation
Comput. Methods Appl. Mech. Eng.
(1993)

D. Briassoulis

The four-node C⁰ Mindlin plate bending element reformulated, Part II: Verification

Comput. Methods Appl. Mech. Eng.

(1993)

H.C. Chan

Convergence studies of dynamic analysis by using the finite element method with lumped mass matrix

J. Sound Vib.

(1993)

J.S. Chang et al.

Free vibrations of sandwich plates of variable thickness

J. Sound Vib.

(1992)

T.P. Chang

Random vibration analysis of non-linear hysteretic plates

J. Sound. Vib.

(1994)

D.C. Chen et al.

The rotary inertia effect in the large reference displacement analysis of initially curved plates

J. Sound. Vib.

(1993)

H.C. Chen

Special finite elements including stress concentration effects of a hole

Finite Elem. Anal. Design

(1993)

L. Cheng et al.

Free vibration analysis of a cylindrical shell-circular plate system with general coupling and various boundary conditions

J. Sound Vib.

(1992)

C.K. Choi et al.

Variable node plate bending element for mat foundation analysis

Comput. Struct.

(1993)

A. Cifuentes et al.

A general method to determine the dynamic response of a plate to a moving mass

Comput. Struct.

(1992)

Y.F. Dong

The hybrid stress model for Mindlin-Reissner plates based on a stress optimization condition

Comput. Struct.

(1993)

P.T. Elangovan et al.

Critical shear stress of flat rectangular plates with free edges

Thin-Wall. Struct.

(1992)

L. Ercoli

Transverse vibrations of an isotropic, simply supported rectangular plate with an orthotropic inclusion

J. Sound Vib.

(1992)

V.J. Ervin et al.

Adaptive approximations for 3-D electrostatic plate problems

Adv. Eng. Software

(1992)

S.C. Fan et al.

A nine-node spline element for free vibration analysis of general plates

J. Sound Vib.

(1993)

P.S. Frederiksen

Natural vibrations of free thick plates and identification of transverse shear moduli

L. Gavric et al.

A finite element method for computation of structural intensity by the normal mode approach

J. Sound Vib.

(1993)

M. Guo et al.

Stability of eccentrically stiffened plates

Thin-Wall Struct.

(1992)

I.E. Harik et al.

Finite element analysis of eccentrically stiffened plates in free vibration

Comput. Struct.

(1993)

J.C. Harrison

Tuned constrained layer damping of a cantilevered plate

J. Sound Vib.

(1994)

K. Hassan

Performance of straight-sided finite elements in simply supported curved-edged thin plates

Comput. Struct.

(1992)

H.P. Huttelmaier

Instability analysis using component modes

Comput. Struct.

(1992)

A. Ibrahimbegovic

Quadrilateral finite elements for analysis of thick and thin plates

Comput. Methods Appl. Mech. Eng.

(1993)

J. Jonsson

A hybrid displacement plate element for bending and stability analysis

Comput. Struct.

(1993)

R. Jwalamalini

Stability of initially stressed square plates with square openings

Marine Struct.

(1992)

H. Katori et al.

Non-conforming triangular finite element based on Mindlin plate theory

Comput. Methods Appl. Mech. Eng.

(1993)

N.U. Ahmed et al.

Higher order modeling of plates by p-version of finite element method

J. Eng. Mech. ASCE

(1993)

S. Alliney et al.

A hybrid finite element model for multilayered plates

Comput. Mech.

(1992)

U. Andelfinger et al.

EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements

Int. J. Numer. Methods. Eng.

(1993)

M. Asch et al.

A mixed 3D finite element for modelling thick plates

Comput. Mech.

(1994)

F. Auricchio et al.

A generalized elastoplastic plate theory and its algorithmic implementation

Int. J. Numer. Methods. Eng.

(1994)

R.C. Averill et al.

An assessment of four-noded plate finite elements based on a generalized third-order theory

Int. J. Numer. Methods Eng.

(1992)

R. Ayad

A study of recent triangular elements for thin and thick plates

M.R. Ayatollahi et al.

Thermally induced vibrations of circular plates

L. Azrar

Asymptotic numerical method to compute bifurcating branches

L. Azrar

An asymptotic-numerical method to compute the postbuckling behaviour of elastic plates and shells

Int. J. Numer. Methods Eng.

(1993)

I. Babuska et al.

The h-p version of the finite element method in the plate modelling problem

Commun. Appl. Numer. Methods

(1992)

J.L. Batoz et al.

On a simple triangular Reissner/Mindlin plate element based on incompatible modes and discrete constraints

Int. J. Numer. Methods Eng.

(1992)

F.J. Beltran et al.

Accuracy estimates based on multifield variational principles

Europ. J. Mech. A/Solids

(1992)

H. Ben Dhia et al.

A low-order finite element scheme for nonlinear plate problems

M.J. Bernadou

Numerical analysis of curved C¹-finite element methods: Applications to thin-plate and thin-shell problems

Smart Struct. Mater.: Math. Smart Str.

(1993)

Cited by (9)

Free vibration analysis of plate assemblies using the dynamic stiffness method based on the higher order shear deformation theory
2016, Journal of Sound and Vibration
Citation Excerpt :
Considerable efforts to accurately predict the free vibration characteristics of thick isotropic plates using the conventional FEM based on the HSDT were made by Hinton [9, 10]. As an overview, we refer to the papers of Mackerle [11] and Lim [12]. However, in the case of high frequency excitations, very fine mesh of conventional finite elements is required to achieve the satisfactory results, especially for the higher modes of vibration.
This paper deals with the free vibration analysis of isotropic plate assemblies using the dynamic stiffness method (DSM) based on the Reddy’s higher-order shear deformation theory (HSDT). Using the proposed method, the isotropic rectangular plate assemblies of non-uniform thickness and material properties can be analyzed. The proposed model does not have any restrictions regarding the boundary conditions or the frequency limitations. It enables free vibration analysis of both thin and thick plates, making it advantageous in comparison with the conventional finite element method (FEM) regarding the computational cost and the accuracy of the results.
Three coupled Euler-Lagrange equations of motion based on the HSDT have been transformed into two uncoupled equations of motion introducing a boundary layer function. The dynamic stiffness matrix for a completely free rectangular plate element has been derived using the superposition and the projection method.
The proposed numerical model has been applied in the free vibration analysis of rectangular plate assemblies. Along with the convergence study, the results for natural frequencies have been validated against the existing data from the literature, the previous results from the authors as well as the results obtained by using the finite element software Abaqus. Excellent agreement has been obtained. Finally, a variety of new results is provided as a benchmark for future investigations.
The R-function method for the free vibration analysis of thin orthotropic plates of arbitrary shape
2003, Journal of Sound and Vibration
Free flexural vibrations of homogeneous, thin, orthotropic plates of an arbitrary shape with mixed boundary conditions are studied using the R-function method. The proposed method is based on the use of the R-function theory and variational methods. In contrast to the widely used methods of the network type (finite differences, finite element, and boundary element methods), in the R-function method all the geometric information given in the boundary value problem statement is represented in an analytical form. This allows one to seek a solution in a form of some formulas called a solution structure. These solution structures contain some indefinite functional components that can be determined by using any variational method. A method of constructing the solution structures satisfying the required mixed boundary conditions for eigenvalue plate bending problems is described. Numerical examples for the vibration analysis of orthotropic plates of complex geometry with mixed boundary conditions for illustrating the aforementioned R-function method and comparison against the other methods are made to demonstrate its merits.
An unsymmetric stress formulation for reissner-mindlin plates: A simple and locking-free rectangular element
2004, International Journal of Computational Engineering Science
Closed-form expressions of generalized conforming triangular finite element for thermal bending analysis of thin plate
2021, Engineering Journal
Implications of static and dynamic analysis of bevel gear
2020, Journal of Advanced Research in Dynamical and Control Systems
Development of DKT finite element formulation for thermal bending of thin plate
2015, Journal of Thermal Stresses

View all citing articles on Scopus

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Static and dynamic analysis of plates using finite element and boundary element techniques — A bibliography (1992–1994)

Abstract

Comput. Methods Appl. Mech. Eng.

Comput. Methods Appl. Mech. Eng.

Comput. Struct.

Comput. Methods Appl. Mech. Eng.

Comput. Methods Appl. Mech. Eng.

Comput. Methods Appl. Mech. Eng.

Comput. Struct.

J. Constr. Steel Res.

Comput. Struct.

Comput. Methods Appl. Mech. Eng.

Comput. Methods Appl. Mech. Eng.

J. Sound Vib.

J. Sound Vib.

J. Sound. Vib.

J. Sound. Vib.

Finite Elem. Anal. Design

J. Sound Vib.

Comput. Struct.

Comput. Struct.

Comput. Struct.

Thin-Wall. Struct.

J. Sound Vib.

Adv. Eng. Software

J. Sound Vib.

J. Sound Vib.

Thin-Wall Struct.

Comput. Struct.

J. Sound Vib.

Comput. Struct.

Comput. Struct.

Comput. Methods Appl. Mech. Eng.

Comput. Struct.

Marine Struct.

Comput. Methods Appl. Mech. Eng.

Higher order modeling of plates by p-version of finite element method

J. Eng. Mech. ASCE

A hybrid finite element model for multilayered plates

Comput. Mech.

EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements

Int. J. Numer. Methods. Eng.

A mixed 3D finite element for modelling thick plates

Comput. Mech.

A generalized elastoplastic plate theory and its algorithmic implementation

Int. J. Numer. Methods. Eng.

An assessment of four-noded plate finite elements based on a generalized third-order theory

Int. J. Numer. Methods Eng.

A study of recent triangular elements for thin and thick plates

Thermally induced vibrations of circular plates

Asymptotic numerical method to compute bifurcating branches

An asymptotic-numerical method to compute the postbuckling behaviour of elastic plates and shells

Int. J. Numer. Methods Eng.

The h-p version of the finite element method in the plate modelling problem

Commun. Appl. Numer. Methods

On a simple triangular Reissner/Mindlin plate element based on incompatible modes and discrete constraints

Int. J. Numer. Methods Eng.

Accuracy estimates based on multifield variational principles

Europ. J. Mech. A/Solids

A low-order finite element scheme for nonlinear plate problems

Numerical analysis of curved C1-finite element methods: Applications to thin-plate and thin-shell problems

Smart Struct. Mater.: Math. Smart Str.

Numerical analysis of curved C¹-finite element methods: Applications to thin-plate and thin-shell problems