Classical and advanced multilayered plate elements based upon PVD and RMVT. Part 1: Derivation of finite element matrices

2002 ◽  
Vol 55 (2) ◽  
pp. 191-231 ◽  
Author(s):  
Erasmo Carrera ◽  
Luciano Demasi
Keyword(s):  
Finite Element ◽  
Multilayered Plate ◽  
Plate Elements

Dispersion Analysis of Stabilized Finite Element Methods for Acoustic Fluid-Structure Interaction

2000 ◽  
Author(s):  
Lonny L. Thompson ◽  
Sridhar Sankar
Keyword(s):  
Finite Element ◽  
Least Squares ◽  
Finite Element Methods ◽  
Generalized Least Squares ◽  
Dispersion Analysis ◽  
Stabilized Finite Element Methods ◽  
Stabilized Finite Element ◽  
Stabilized Methods ◽  
Plate Elements ◽  
Acoustic Fluid

Abstract The application of stabilized finite element methods to model the vibration of elastic plates coupled with an acoustic fluid medium is considered. New stabilized methods based on the Hellinger-Reissner variational principle with a generalized least-squares modification are developed which yield improvement in accuracy over the Galerkin and Galerkin Generalized Least Squares (GGLS) finite element methods for both in vacuo and acoustic fluid-loaded Reissner-Mindlin plates. Through judicious selection of design parameters this formulation provides a consistent framework for enhancing the accuracy of mixed Reissner-Mindlin plate elements. Combined with stabilization methods for the acoustic fluid, the method presents a new framework for accurate modeling of acoustic fluid-loaded structures. The technique of complex wave-number dispersion analysis is used to examine the accuracy of the discretized system in the representation of free-waves for fluid-loaded plates. The influence of different finite element approximations for the fluid-loaded plate system are examined and clarified. Improved methods are designed such that the finite element dispersion relations closely match each branch of the complex wavenumber loci for fluid-loaded plates. Comparisons of finite element dispersion relations demonstrate the superiority of the hybrid least-squares (HLS) plate elements combined with stabilized methods for the fluid over standard Galerkin methods with mixed interpolation and shear projection (MITC4) and GGLS methods.

Estimate of the Ultimate Load on Structural Members Subjected to Lateral Loads

2001 ◽  
Vol 38 (03) ◽  
pp. 169-176
Author(s):  
L. Belenkiy ◽  
Y. Raskin
Keyword(s):  
Finite Element ◽  
Limit Analysis ◽  
Ultimate Load ◽  
Limit Load ◽  
Plastic Behavior ◽  
Lateral Loads ◽  
Ship Structures ◽  
Strength Assessment ◽  
Stiffened Panels ◽  
Plate Elements

This paper examines plastic behavior of typical ship structures, specifically beams, grillages, and plates subjected to predominantly lateral loads. The ultimate loads, determined on the basis of the theorems of limit analysis [1,2], are evaluated using nonlinear finite-element plastic analysis. The relationships between analytical and finite-element models for prediction of ultimate loads of beams, stiffened panels, and grillages are illustrated. It has been shown that the ultimate loads, obtained from the theorems of limit analysis, can be successfully used for strength assessment of stiffened ship structures subjected to lateral loads. The effect of shear force on ultimate load is analyzed using the finite-element method. This paper confirms that in the case of beams and grillages under lateral loading, the ultimate load may characterize the threshold of the load at which a stiffened ship's structure fails by the development of excessive deflections. For plate elements, on the other hand, the plastic deflections represent the permissible limit of external load better than the ultimate limit load.

Shell or Plate Idealization on a Polyhedral Model for Finite Element Analyses

2003 ◽  
Author(s):  
G. Drieux ◽  
J.-C. Le´on ◽  
L. Fine
Keyword(s):  
Finite Element ◽  
Structural Model ◽  
Physical Phenomenon ◽  
Shell Morphology ◽  
Geometric Transformations ◽  
Shell Elements ◽  
Cad System ◽  
Plate Elements ◽  
Preparation Phase ◽  
Set Up

Very often, geometric transformations are required to adapt the geometry of a component to the requirements and hypotheses of a structural model in order to generate a Finite Element (FE) mesh suitable for modeling some physical phenomenon. This co-called idealization process is usually time consuming. This paper introduces a new set of operators to perform this preparation phase. The operators proposed are based on a polyhedral representation of the component to enable structural analyses to be integrated at various stages of the design process without requiring a model issued from a CAD system. The operators fit into an approach where geometrical criteria and mechanical ones are distinguished. Here, a first set of geometric operators is described and mechanical criteria are highlighted to set their relative positions. Two distinct stages are set up in applying geometric operators: firstly, candidate areas reflecting plate or shell morphology are identified and transformed into open surfaces ; secondly, the connections between the shell or plate elements are addressed through mechanical and geometrical criteria to allow the analyst to express the hypotheses he (resp. she) requires. Across these stages, the continuity and integrity of the model is always preserved, which enables a wide variety of treatment of the connections between the plate or shell elements, as it is often required when modeling structures. Finally, examples are provided to illustrate the efficiency and the potential of the approach proposed.

scholarly journals Frequency Domain Spectral Element Model for the Vibration Analysis of a Thin Plate with Arbitrary Boundary Conditions

2016 ◽  
Vol 2016 ◽  
pp. 1-20 ◽  
Author(s):  
Ilwook Park ◽  
Taehyun Kim ◽  
Usik Lee
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Rectangular Plate ◽  
Element Model ◽  
Spectral Element ◽  
Plate Element ◽  
Arbitrary Boundary ◽  
Arbitrary Boundary Conditions ◽  
Plate Elements ◽  
Rectangular Plate Element

We propose a new spectral element model for finite rectangular plate elements with arbitrary boundary conditions. The new spectral element model is developed by modifying the boundary splitting method used in our previous study so that the four corner nodes of a finite rectangular plate element become active. Thus, the new spectral element model can be applied to any finite rectangular plate element with arbitrary boundary conditions, while the spectral element model introduced in the our previous study is valid only for finite rectangular plate elements with four fixed corner nodes. The new spectral element model can be used as a generic finite element model because it can be assembled in any plate direction. The accuracy and computational efficiency of the new spectral element model are validated by a comparison with exact solutions, solutions obtained by the standard finite element method, and solutions from the commercial finite element analysis package ANSYS.

Redesign of Structural Vibration Modes by Finite-Element Inverse Perturbation

1981 ◽  
Vol 103 (2) ◽  
pp. 319-325 ◽  
Author(s):  
K. A. Stetson ◽  
I. R. Harrison
Keyword(s):  
Finite Element ◽  
Equations Of Motion ◽  
Structural Vibration ◽  
Vibration Modes ◽  
Element Analysis ◽  
Jet Engine ◽  
First Order ◽  
Plate Elements ◽  
Plates And Shells ◽  
First Order Perturbation

A previously developed technique for redesigning the vibrational properties of structures, by inverting the first-order perturbation analysis of the equations of motion, has been applied to a NASTRAN finite element analysis for plates and shells. The program finds the minimal changes to the thicknesses of the plate elements necessary to effect a given set of changes in the modal frequencies and shapes. Results have been obtained for a flat cantilever plate, a cantilever segment of a cylinder, and for a compressor blade for a jet engine.

Estimation of Dynamic Impedance of the Soil–Pile–Slab and Soil–Pile–Mattress–Slab Systems

2017 ◽  
Vol 17 (06) ◽  
pp. 1750057 ◽  
Author(s):  
Salah Messioud ◽  
Badreddine Sbartai ◽  
Daniel Dias
Keyword(s):  
Finite Element ◽  
Wave Reflection ◽  
Element Model ◽  
Contact Conditions ◽  
3D Finite Element ◽  
Reinforced Soils ◽  
Geometric Configurations ◽  
Rigid Pile ◽  
Dynamic Impedance ◽  
Plate Elements

A 3D finite-element model for the dynamic analysis of soil–pile–slab is presented, with the soil–pile–mattress–slab interaction included in studying the dynamic behavior of the rigid–pile–reinforced soils. The soil, piles, and mattress are represented as continuum solids, and the slab is represented by structural plate elements. Quiet boundaries are placed at the boundaries of the model to avoid wave reflection. The formulation is based on the sub-structure method. Different geometric configurations are studied in terms of dynamic impedance. The numerical results are presented to show the influence of the mattress stiffness and the pile–soil contact conditions on the dynamic response of the foundation system. The horizontal and vertical impedances of the pile foundations are presented with the results compared with those available in previous studies.

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