Numerical Implementation of Meshless Methods for Beam Problems

Archives of civil engineering

V. M. A. Leit?oAssociate Professor, Technical University of Lisbon, Instituto Superior T´ecnico, 1 Rovisco PaisEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹  V. E. RoscaCorresponding authorLecturer, ”Gheorghe Asachi” Technical University from Iasi, Faculty Of Civil Engineering andEmailOther articles by this author:De Gruyter OnlineGoogle Scholar² 

[1] Associate Professor, Technical University of Lisbon, Instituto Superior T´ecnico, 1 Rovisco Pais;Lecturer, ”Gheorghe Asachi” Technical University from Iasi, Faculty Of Civil Engineering and

关键词: Keywords: numerical methods;    meshless formulation;    EFG;    SPH;    beam discretisation;   

DOI  :  10.2478/v.10169-012-0010-3

学科分类：建筑学

来源: Polska Akademia Nauk * Instytut Podstawowych Problemow Techniki / Polish Academy of Sciences, Institute of Fundamental Technological Research

【 摘 要 】

For solving a partial different equation by a numerical method, a possible alternative may be either to use a mesh method or a meshless method. A flexible computational procedure for solving 1D linear elastic beam problems is presented that currently uses two forms of approximation function (moving least squares and kernel approximation functions) and two types of formulations, namely the weak form and collocation technique, respectively, to reproduce Element Free Galerkin (EFG) and Smooth Particle Hydrodynamics (SPH) meshless methods. The numerical implementation for beam problems of these two formulations is discussed and numerical tests are presented to illustrate the difference between the formulations.

【 授权许可】

Unknown