Rectangular hybrid elements for the analysis of sandwich plate structures

1987 ◽  
Vol 14 (4) ◽  
pp. 455-460 ◽  
Author(s):  
P. Fazio ◽  
K. Gowri ◽  
K. H. Ha
Keyword(s):  
Finite Element ◽  
Sandwich Panel ◽  
Sandwich Plate ◽  
Hybrid Approach ◽  
Numerical Test ◽  
Computation Time ◽  
Test Problems ◽  
Plate Bending ◽  
Structural Behaviour ◽  
Plate Structures

The structural behaviour of sandwich plate structures are characterized by transverse shear deformations in the core. The assumed stress hybrid finite element technique is particularly suitable for developing sandwich plate bending elements. In the present study, rectangular three-layer sandwich plate elements have been formulated using simple assumed stress functions. Numerical test problems have been solved to examine the convergence property and suitability of these elements. The results are compared with that of a complete quadratic stress mode element and with analytical solutions. Six degrees of freedom per node shell elements are formulated by combining the plate bending elements with membrane elements. A folded plate sandwich panel roof has been analyzed using these elements and the results are compared with the experimental values. The use of simple stress function gives satisfactory results and reduces the size of the matrices to be used, the length of the program, and the computation time for the formulation of element stiffness matrices. Key words: sandwich panel, structural analysis, finite element method, stress hybrid approach, folded plates.

Dynamic Analysis of Sandwich Plate Structure by Finite Element Method

2018 ◽  
Vol 877 ◽  
pp. 305-310
Author(s):  
Amit Paul ◽  
Sreyashi Das Nee Pal ◽  
Arup Guha Niyogi
Keyword(s):  
Finite Element ◽  
Sandwich Plate ◽  
Transverse Shear Deformation ◽  
Plate Bending ◽  
Plate Structures ◽  
First Order ◽  
Parametric Studies ◽  
Support Conditions ◽  
Free Vibration Response ◽  
Good Agreement

An 8-noded quadratic isoparametric plate bending finite element that incorporates first-order transverse shear deformation and rotary inertia is used to predict the free vibration response of sandwich plate structures. A programme has been developed using MATLAB. The finite element results presented here show good agreement with the available semi-analytical solutions and finite element results. Parametric studies have been conducted by incorporating variation in support conditions, fibre angles of the skins and overall thickness and detail interpretations are provided.

The constant-moment plate-bending element

1971 ◽  
Vol 6 (1) ◽  
pp. 20-24 ◽  
Author(s):  
L S D Morley
Keyword(s):  
Finite Element ◽  
Bending Moment ◽  
Test Problems ◽  
Plate Bending ◽  
Simple Test ◽  
Triangular Finite Element ◽  
Influence Coefficients ◽  
Bending Problems ◽  
Constant Moment

A non-conforming displacement triangular finite element is derived with quadratically varying displacements for use in plate-bending problems. It is shown that the element corresponds with a known constant-bending-moment element and provides, in consequence, an over-estimate of the influence coefficients. Convergence is also assured in advancing to successively finer mesh sizes. A few simple test problems are computed so as to illustrate the kind of accuracy which can be expected.

A locking-free coupled polynomial Timoshenko piezoelectric beam finite element

2015 ◽  
Vol 32 (5) ◽  
pp. 1251-1274 ◽  
Author(s):  
Litesh N Sulbhewar ◽  
P. Raveendranath
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Electromechanical Coupling ◽  
Numerical Test ◽  
Shear Deformation Theory ◽  
Test Problems ◽  
Field Representation ◽  
Content Type ◽  
Piezoelectric Beam ◽  
Consistent Manner

Purpose – Piezoelectric extension mode smart beams are vital part of modern control technology and their numerical analysis is an important step in the design process. Finite elements based on First-order Shear Deformation Theory (FSDT) are widely used for their structural analysis. The performance of the conventional FSDT-based two-noded piezoelectric beam formulations with assumed independent linear field interpolations is not impressive due to shear and material locking phenomena. The purpose of this paper is to develop an efficient locking-free FSDT piezoelectric beam element, while maintaining the same number of nodal degrees of freedom. Design/methodology/approach – The governing equations are derived using a variational formulation to establish coupled polynomial field representation for the field variables. Shape functions based on these coupled polynomials are employed here. The proposed formulation eliminates all locking effects by accommodating strain and material couplings into the field interpolation, in a variationally consistent manner. Findings – The present formulation shows improved convergence characteristics over the conventional formulations and proves to be the most efficient way to model extension mode piezoelectric smart beams, as demonstrated by the results obtained for numerical test problems. Originality/value – To the best of the authors’ knowledge, no such FSDT-based finite element with coupled polynomial shape function exists in the literature, which incorporates electromechanical coupling along with bending-extension and bending-shear couplings at the field interpolation level itself. The proposed formulation proves to be the fastest converging FSDT-based extension mode smart beam formulation.

scholarly journals Numerical Simulation for the Honeycomb Core Sandwich Panels in Bending by Homogenization Method

2021 ◽  
Vol 15 ◽  
pp. 88-94
Author(s):  
Luong Viet Dung ◽  
Dao Lien Tien ◽  
Duong Pham Tuong Minh
Keyword(s):  
Numerical Simulation ◽  
Finite Element ◽  
Sandwich Plate ◽  
Model Building ◽  
Computation Time ◽  
Cad Model ◽  
Honeycomb Core ◽  
Element Analysis ◽  
Finite Element Software ◽  
3D Solid

Nowadays, with the continuous development of science and technology, computer software has been widely applied and is increasingly popular in many fields such as the automobile, aviation, space, and shipbuilding industries. Numerical simulation is an important step in finite element analysis and product design optimization. However, it is facing challenges of reducing CAD model building time and reducing computation time. In this study, we have developed a homogenization model for the honeycomb core sandwich plate to reduce the preparation of the CAD model as well as the computational times. The homogenization consists of representing an equivalent homogenized 3D-solid obtained from the analysis calculation in-plane properties of honeycomb 3D-shell core sandwich plate. This model was implemented in the finite element software Abaqus. The simulations of tensile, in-plane shear, pure bending, and flexion tests for the case of the 3D-shell and 3D-solid models of the honeycomb core sandwich will be studied in this paper. Comparing the results obtained from the two models shows that the 3D-solid model has close results as the 3D-shell model, but the computation time is much faster. Thereby the proposed model is validated.

scholarly journals A comparative study of conventional and sandwich plate side-shell using finite element method

2021 ◽  
Vol 1034 (1) ◽  
pp. 012027
Author(s):  
Abdi Ismail ◽  
Achmad Zubaydi ◽  
Bambang Piscesa ◽  
Ervan Panangian ◽  
Rizky Chandra Ariesta ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Comparative Study ◽  
Sandwich Plate ◽  
Side Shell ◽  
Element Method

Effective Convergence Checks for Verifying Finite Element Stresses at Three-Dimensional Stress Concentrations

2018 ◽  
Vol 3 (3) ◽  
Author(s):  
J. R. Beisheim ◽  
G. B. Sinclair ◽  
P. J. Roache
Keyword(s):  
Finite Element ◽  
Error Estimation ◽  
A Posteriori Error Estimates ◽  
Three Dimensional ◽  
Posteriori Error ◽  
Test Problems ◽  
A Posteriori ◽  
Stress Concentrations ◽  
Element Analysis ◽  
A Posteriori Error

Current computational capabilities facilitate the application of finite element analysis (FEA) to three-dimensional geometries to determine peak stresses. The three-dimensional stress concentrations so quantified are useful in practice provided the discretization error attending their determination with finite elements has been sufficiently controlled. Here, we provide some convergence checks and companion a posteriori error estimates that can be used to verify such three-dimensional FEA, and thus enable engineers to control discretization errors. These checks are designed to promote conservative error estimation. They are applied to twelve three-dimensional test problems that have exact solutions for their peak stresses. Error levels in the FEA of these peak stresses are classified in accordance with: 1–5%, satisfactory; 1/5–1%, good; and <1/5%, excellent. The present convergence checks result in 111 error assessments for the test problems. For these 111, errors are assessed as being at the same level as true exact errors on 99 occasions, one level worse for the other 12. Hence, stress error estimation that is largely reasonably accurate (89%), and otherwise modestly conservative (11%).

scholarly journals A strength analysis of conventional and sandwich plate deck using finite element method

2021 ◽  
Vol 1034 (1) ◽  
pp. 012026
Author(s):  
Abdi Ismail ◽  
Achmad Zubaydi ◽  
Bambang Piscesa ◽  
Ervan Panangian ◽  
Rizky Chandra Ariesta ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Sandwich Plate ◽  
Strength Analysis ◽  
Element Method
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