TY - JOUR
T1 - A two-step, two-field hybrid method for the static and dynamic analysis of substructure problems with conforming and non-conforming interfaces
AU - Rixen, Daniel
AU - Farhat, Charbel
AU - Géradin, Michel
N1 - Funding Information:
We would like to thank Professor Carlos Felippa for his helpful commentso n shell problems. The first author acknowledges the support of the Fonds National de la Recherche Scientifique, Belgium. The second author acknowledges partial support by the National Science Foundation under Grant ASC-9217394, and partial support by NASA Langley under Grant NAG-1536427.
PY - 1998/3/2
Y1 - 1998/3/2
N2 - The need for assembling independent finite element substructure solutions arises in several engineering and scientific problems including the design and analysis of complex structural systems, component mode synthesis, global/local analysis, adaptive refinement, and parallel processing. In this paper, we discuss the solution of such problems by a two-field hybrid method where the substructures are jointed with low-order polynomial or piece-wise polynomial Lagrange multipliers, and present a Rayleigh-Ritz based smoothing procedure for improving the accuracy of the computed coupled solution in the presence of various substructure heterogeneities. We consider both conforming and nonconforming substructure meshes, and demonstrate the benefits of the proposed two-step solution method with several examples from structural mechanics.
AB - The need for assembling independent finite element substructure solutions arises in several engineering and scientific problems including the design and analysis of complex structural systems, component mode synthesis, global/local analysis, adaptive refinement, and parallel processing. In this paper, we discuss the solution of such problems by a two-field hybrid method where the substructures are jointed with low-order polynomial or piece-wise polynomial Lagrange multipliers, and present a Rayleigh-Ritz based smoothing procedure for improving the accuracy of the computed coupled solution in the presence of various substructure heterogeneities. We consider both conforming and nonconforming substructure meshes, and demonstrate the benefits of the proposed two-step solution method with several examples from structural mechanics.
UR - http://www.scopus.com/inward/record.url?scp=0032473313&partnerID=8YFLogxK
U2 - 10.1016/S0045-7825(97)00128-X
DO - 10.1016/S0045-7825(97)00128-X
M3 - Article
AN - SCOPUS:0032473313
SN - 0045-7825
VL - 154
SP - 229
EP - 264
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 3-4
ER -