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A computational procedure for flexible beams with frictional contact constraints
Author(s) -
Sun S. M.,
Natori M. C.,
Park K. C.
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620362203
Subject(s) - deflection (physics) , parametric statistics , contact force , quadratic equation , finite element method , parametric equation , penalty method , quadratic programming , beam (structure) , mathematics , mathematical optimization , mathematical analysis , structural engineering , geometry , classical mechanics , physics , engineering , statistics
This paper deals with the application of a parametric quadratic programming (PQP) method to the numerical solution of large‐deflection beams involving frictional contact constraints. The flexibility of the structure is modelled by an intrinsic spatial beam theory which is approximated by transverse‐shear deformable linear beam elements. The linear complementary problem (LCP) without the penalty function resulting from PQP is made part of a Newton‐Raphson search. The tool for solving the complementary equations is Lemke's algorithm, in which frictional contact conditions are enforced and new contact surfaces are updated during iteration. Applying the resulting contact element, a more accurate approximation of the contact point can be guaranteed, and the contact force can be directly computed by the adjacent beam elements. Three numerical examples are analysed to show the effectiveness and validity of the method.