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Semi-analytical shape functions in the finite element analysis of rectangular plates
, 1999 openaire +1 more source
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A semi-analytical coupled finite element formulation for shells conveying fluids
Computers and Structures, 2002Abstract A new formulation, based on the semi-analytical finite element method, is proposed for elastic shells conveying fluids. The structural equations are based on the shell element proposed by Ramasamy and Ganesan [Comput Struct 70 (1998) 363] while the fluid model is based on velocity potential.
Jayaraj Kochupillai +1 more
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A Mindlin plate finite element with semi-analytical shape design sensitivities
Computers and Structures, 2000Abstract A hybrid-stress Mindlin plate finite element and its sensitivity derivatives are presented. The element is triangular and has a simple nodal configuration with three corner nodes and C o type nodal variables. The use of independent field assumptions for displacements and stresses removes the necessity for an in-plane shear correction ...
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Shaft design: A semi-analytical finite element approach
Mechanics Based Design of Structures and Machines, 2017This work deals with the practical use of semi-analytical finite elements in the machine design. The case of mechanical shafts is considered. The most usual loading condition characterized by the presence of axial, torsional, bending, and shear loads can be modeled by over imposing an axi-symmetric, an axi-antisymmetric and a harmonic load ...
Munteanu, Mircea G. +2 more
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Semi-analytical sensitivity using hybrid finite elements
Computers & Structures, 2000The paper presents a general algorithm for computation of response sensitivity using semi-analytical approach and hybrid finite elements. In particular, three types of two-dimensional quadrilateral elements based on the Hellinger-Reissner principle and its latter modifications have been chosen and implemented in the sensitivity expressions to ...
Bakshi, P, Pandey, PC
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A semi-analytical finite element for laminated composite plates
Composite Structures, 2002This paper presents a semi-analytical finite element solution for laminated composite plates. The method is based on a mixed variational principle that involves both displacements and stresses. Finite element meshes are only used in the plane of plate, while the through thickness distributions of displacements and stresses are obtained using the method
Sheng, H Y, Ye, J Q
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SEMI-ANALYTICAL SHAPE FUNCTIONS IN THE FINITE ELEMENT ANALYSIS OF RECTANGULAR PLATES
Journal of Sound and Vibration, 2001This paper presents a method for the dynamic analysis of a thin, elastic, isotropic rectangular plate. The method is a hybrid of finite element theory and classical thin plate theory. The displacement functions are derived from Sanders' thin-shell equations, and are expanded in power series.
E. CHARBONNEAU, A.A. LAKIS
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Investigation of thermo-acoustoelastic guided waves by semi-analytical finite element method
Ultrasonics, 2020Guided waves are sensitive to variations in propagation environments. Many recent studies have focused on the uniform thermal effect on Lamb waves. However, there is little research on the thermal effect in a more complex situation, such as a nonuniform thermal effect and wave propagation in an arbitrary cross-section.
Zhengyan, Yang +8 more
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Semi-analytical finite elements in the higher-order theory of beams
Computer Methods in Applied Mechanics and Engineering, 1996The paper presents semi-analytical finite elements leading to the development of a higher-order theory for beams. An analysis of existing beam theories reveals their semi-analytical character. The semi-analytical finite element (SFE) method proposed assumes the cross-section of a solid beam to be an assemblage of certain semi-analytical elements.
Argyris, John, Kačianauskas, Rimantas
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Semi‐analytical far field model for three‐dimensional finite‐element analysis
International Journal for Numerical and Analytical Methods in Geomechanics, 2004AbstractA challenging computational problem arises when a discrete structure (e.g. foundation) interacts with an unbounded medium (e.g. deep soil deposit), particularly if general loading conditions and non‐linear material behaviour is assumed. In this paper, a novel method for dealing with such a problem is formulated by combining conventional three ...
Doherty, James P., Deeks, Andrew J.
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