The Curvilinear Mesh Method For Analysis Of
Complex Thin Walled Structures
Author(s)
Y. Z. Totoev
Abstract
Complex plate and shell type structures are frequently analysed numerically on
the basis of a super-element method. The FEM is usually used to obtain the
stiffness matrix of a super-element (sometimes in several stages). In this paper
the Curvilinear Mesh Method (CMM) which can be efficiently used for the same
purpose is presented. The method uses an approach similar to the finite
difference method but has a number of important advantages. One is the higher
speed of convergence of numerical solutions due to the exclusion of effects
produced by approximating rigid body motion. Another advantage is the fact that
the equations of the CMM remain valid on the lines of slope discontinuity of the
median surface. This makes it possible to analyse sub-structures as a whole even
if the sub-structures consist of several parts with different geometry. CMM is
based on the equations of classis theory of thin shells in invariant form. The
median surface of a sub-structure is described in general curvilinear co-ordinates.
In the super-element procedure the structure considered to be geometrically
linear and elastic. The interaction between sub-structures is modelled using a
generalised displacement method, in which the unknown at boundary nodes of
the sub-structure are of the same type as those at internal nodes and also because
there is a need to determine the degree of static indeterminacy and no need to
choose the primary structure. To verify the presented numerical technique, the
stress-strain state of a cylindrical shell with diaphragms has been analysed.
Results obtained using CMM in a super-element procedure are compared with
results obtained by the FEM and CMM without sub structuring. A comparison of
results shows that there is little difference between these three methods in terms
of accuracy.
Keywords: super-element method, finite difference method, mesh method, shell
structures, rigid body motions, covariant derivative.
Keywords
super-element method, finite difference method, mesh method, shell
structures, rigid body motions, covariant derivative.
Related Book
Other papers in this volume
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