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Non‐linear finite element dynamic analysis of axisymmetric solids
Author(s) -
Nagarajan S.,
Popov E. P.
Publication year - 1974
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290030409
Subject(s) - finite element method , rotational symmetry , quadrilateral , discretization , mixed finite element method , structural engineering , extended finite element method , mathematics , engineering , mathematical analysis , geometry
The subject of this paper is the finite element analysis of axisymmetric solids subjected to axisymmetric static and dynamic loading, and taking into account material as well as geometric non‐linearities. A general Lagrangian formulation forms the basis for the incremental equations of motion which are solved using direct integration methods. Solution accuracy is improved by applying equilibrium correction loads at each step. Finite element discretization is achieved through the use of quadrilateral plane stress and axisymmetric elements with incompatible modes added for improvement of the element flexural characteristics. Several numerical examples are presented to demonstrate the effectiveness of the developed computer program.