Results 11 to 20 of about 2,654 (171)

Vibrations of Cracked Euler-Bernoulli Beams using Meshless Local Petrov-Galerkin (MLPG) Method

open access: yesComputer Modeling in Engineering & Sciences, 2005
Structural health monitoring techniques based on vibration data have received increasing attention in recent years. Since the measured modal characteristics and the transient motion of a beam exhibit low sensitivity to damage, numerical techniques for accurately computing vibration characteristics are needed.
ANDREAUS, Ugo   +2 more
openaire   +3 more sources

Arbitrary Placement of Secondary Nodes, and Error Control, in the Meshless Local Petrov-Galerkin (MLPG) Method

open access: yesComputer Modeling in Engineering & Sciences, 2000
The truly meshless local Petrov-Galerkin (MLPG) method holds a great promise in solving boundary value problems, using a local symmetric weak form as a natural approach. In the present paper, in the context of MLPG and the meshless interpolation of a moving least squares (MLS) type, a method which uses primary and secondary nodes in the domain and on ...
Kim, H.-G., Atluri, S. N.
openaire   +3 more sources

The Meshless Local Petrov-Galerkin (MLPG) Method: A Simple & Less-costly Alternative to the Finite Element and Boundary Element Methods

open access: yesComputer Modeling in Engineering & Sciences, 2002
A comparison study of the efficiency and accuracy of a variety of meshless trial and test functions is presented in this paper, based on the general concept of the meshless local Petrov-Galerkin (MLPG) method. 5 types of trial functions, and 6 types of test functions are explored.
Atluri, Satya N., Shen, Shengping
openaire   +3 more sources

Analysis of Elastodynamic Deformations near a Crack/Notch Tip by the Meshless Local Petrov-Galerkin (MLPG) Method

open access: yesComputer Modeling in Engineering & Sciences, 2002
The Meshless Local Petrov-Galerkin (MLPG) method is used to analyze transient deformations near either a crack or a notch tip in a linear elastic plate. The local weak formulation of equations governing elastodynamic deformations is derived. It results in a system of coupled ordinary differential equations which are integrated with respect to time by a
Batra, R. C., Ching, H.-K.
openaire   +3 more sources

Determination of Crack Tip Fields in Linear Elastostatics by the Meshless Local Petrov-Galerkin (MLPG) Method

open access: yesComputer Modeling in Engineering & Sciences, 2001
It is shown that the MLPG method augmented with the enriched basis functions and either the visibility criterion or the diffraction criterion successfully predicts the singular stress fields near a crack tip. Results are presented for a single edge-cracked plate and a double edge-cracked plate with plate edges parallel to the crack axis loaded in ...
H.-K. Ching, R. C. Batra
openaire   +2 more sources

Stabilized Meshless Local Petrov-Galerkin (MLPG) Method for Incompressible Viscous Fluid Flows

open access: yesComputer Modeling in Engineering & Sciences, 2008
In this paper, the truly Meshless Local Petrov-Galerkin (MLPG) method is extended for computation of steady incompressible flows, governed by the Navier--Stokes equations (NSE), in vorticity-stream function formulation. The present method is a truly meshless method based on only a number of randomly located nodes.
M. Mohammadi
openaire   +2 more sources

Elastic Moduli of Woven Fabric Composite by Meshless Local Petrov-Galerkin (MLPG) Method

open access: yesComputer Modeling in Engineering & Sciences, 2010
A meshless local Petrov-Galerkin method, for the micro-mechanical material model of woven fabric composite material is presented in this paper. The material models are based on a repeated unit cell approach and two smooth fibre modes. A unit step function is used as the test functions in the local weak-form which leads to local boundary integral ...
P.H. Wen, M.H. Aliabadi
openaire   +2 more sources

Meshless Local Petrov-Galerkin (MLPG) Method for Laminate Plates under Dynamic Loading

open access: yesComputers, Materials & Continua, 2010
A meshless local Petrov-Galerkin (MLPG) method is applied to solve laminate plate problems described by the Reissner-Mindlin theory. Both stationary and transient dynamic loads are analyzed here. The bending moment and the shear force expressions are obtained by integration through the laminated plate for the considered constitutive equations in each ...
J. Sladek   +3 more
openaire   +2 more sources

Application of Meshless Local Petrov-Galerkin (MLPG) Method to Elastodynamic Problems in Continuously Nonhomogeneous Solids

open access: yesComputer Modeling in Engineering & Sciences, 2003
A new computational method for solving transient elastodynamic initial-boundary value problems in continuously non-homogeneous solids, based on the meshless local Petrov-Galerkin (MLPG) method, is proposed in the present paper. The moving least squares (MLS) is used for interpolation and the modified fundamental solution as the test function. The local
Sladek, Jan   +2 more
openaire   +3 more sources

Estimation of Parameters in Groundwater Modeling by Particle Filter linked to the meshless local Petrov-Galerkin Numerical Method [PDF]

open access: yesJournal of Hydraulic Structures, 2021
The present study employs a mathematical method, i.e. Particle Filter (PF), to accurately estimate the parameters of three standard aquifers. The method is linked to a new developed numerical method, i.e.
Ali Mohtashami   +3 more
doaj   +1 more source

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