Vibrations of Cracked Euler-Bernoulli Beams using Meshless Local Petrov-Galerkin (MLPG) Method
Computer 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
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Meshless Local Petrov-Galerkin (MLPG) Approaches for Solving the Weakly-Singular Traction & Displacement Boundary Integral Equations [PDF]
, 2003 The general Meshless Local Petrov-Galerkin (MLPG) type weak-forms of the displacement & traction boundary integral equations are presented, for solids undergoing small deformations.
Z. D. Han, S. N. Atluri, S. Shen
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Numerical Integration with Constraints for Meshless Local Petrov-Galerkin Methods [PDF]
, 2013 We propose numerical integration rules for meshless local Petrov- Galerkin methods (MLPG) employed to solve elliptic partial different equations (PDE) with Neumann boundary conditions.
Q. Zhang, L. Sun, G. Yang
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Consistency and convergence of SPH approximations [PDF]
, 2009 Includes bibliographical references (leaves 58-59).Includes abstract.This thesis is about a new approach to SPH. Instead of using a single kernel or shape function for approximation of a function and its derivatives, individual shape functions are used ...
Penzhorn, Karl
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A MLPG Meshless Method for Numerical Simulation of Unsteady Incompressible Flows
Journal of Applied Fluid Mechanics, 2017 This article presents a numerical algorithm using the Meshless Local PetrovGalerkin (MLPG) method for numerical simulation of unsteady incompressible flows, governed by the Navier–Stokes equations via the stream function–vorticity (ψ–ω) formulation.
Iraj Saeedpanah
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Elastic Moduli of Woven Fabric Composite by Meshless Local Petrov-Galerkin (MLPG) Method
Computer 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
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A Meshless Local Petrov-Galerkin (MLPG) Formulation for Static and Free Vibration Analyses of Thin Plates [PDF]
, 2001 A meshless method for the analysis of Kirchhoff plates based on the Meshless Local Petrov-Galerkin (MLPG) concept is presented. A MLPG formulation is developed for static and free vibration analyses of thin plates.
G. R. Liu, Y. T. Gu
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Radial basis function based meshless methods for fluid flow problems
, 2006 This thesis is concerned with the development of meshless methods using radial basis functions for solving fluid flow problems. The advantage of meshless methods over traditional mesh-based methods is that they make use of a scattered set of collocation ...
Chinchapatnam, Phani P. +1 more
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Civil Engineering Dimension, 2008 A meshless local Petrov-Galerkin (MLPG) method that employs polygonal sub-domains constructed from several triangular patches rather than the typically used circular sub-domains is presented.
Pamuda Pudjisuryadi
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Solving heat conduction problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method
, 2014 As an improvement of the Meshless Local Petrov-Galerkin (MLPG), the Direct Meshless Local Petrov-Galerkin (DMLPG) method is applied here to the numerical solution of transient heat conduction problem.
Mirzaei, Davoud, Schaback, Robert
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