TY - JOUR
T1 - Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations
AU - Atluri, S. N.
AU - Cho, J. Y.
AU - Kim, H. G.
PY - 1999/11
Y1 - 1999/11
N2 - In this paper, the conventional moving least squares interpolation scheme is generalized, to incorporate the information concerning the derivative of the field variable into the interpolation scheme. By using this generalized moving least squares interpolation, along with the MLPG (Meshless Local Petrov-Galerkin) paradigm, a new numerical approach is proposed to deal with 4th order problems of thin beams. Through numerical examples, convergence tests are performed; and problems of thin beams under various loading and boundary conditions are analyzed by the proposed method, and the numerical results are compared with analytical solutions.
AB - In this paper, the conventional moving least squares interpolation scheme is generalized, to incorporate the information concerning the derivative of the field variable into the interpolation scheme. By using this generalized moving least squares interpolation, along with the MLPG (Meshless Local Petrov-Galerkin) paradigm, a new numerical approach is proposed to deal with 4th order problems of thin beams. Through numerical examples, convergence tests are performed; and problems of thin beams under various loading and boundary conditions are analyzed by the proposed method, and the numerical results are compared with analytical solutions.
UR - http://www.scopus.com/inward/record.url?scp=0033353654&partnerID=8YFLogxK
U2 - 10.1007/s004660050456
DO - 10.1007/s004660050456
M3 - Article
AN - SCOPUS:0033353654
SN - 0178-7675
VL - 24
SP - 334
EP - 347
JO - Computational Mechanics
JF - Computational Mechanics
IS - 5
ER -