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SUMMARY:A 7 Parameter Curved Shell Positional Fem Formulation For Geometri
 cal Non-Linear Dynamics - Prof Humberto Breves Coda (Universidade de São 
 Paulo\, Departamento de Engenharia de Estruturas)
DTSTART:20070209T150000Z
DTEND:20070209T160000Z
UID:TALK6394@talks.cam.ac.uk
CONTACT:Nami Norman
DESCRIPTION:This presentation is about a positional FEM formulation to dea
 l with shells undergoing large displacements due to dynamic actions. The p
 roposed methodology is based on the minimum potential energy theorem writt
 en regarding nodal positions. Velocity\, acceleration and strain are achie
 ved directly from positions\, not displacements\, characterizing the novel
 ty of the proposed technique. A non-dimensional space is created and the c
 hange of configuration function is written following two independent mappi
 ngs\, from which the strain energy function is written. The classical Newm
 ark   equations are used to integrate time resulting in a stable and energ
 y conserving procedure. Dumping and non-conservative forces are introduced
  into the mechanical system by a rheonomic energy functional. The final fo
 rmulation has the advantage of being simple and easy to teach\, when compa
 red to classical counterparts. The propose shell element is locking free d
 ue to the presence of the seventh parameter. The curved\, high order eleme
 nt\, together with the implicit procedure guarantees precision in calculat
 ions.  Selected examples are provided to prove the formulation regarding a
 ccuracy and applicability\, including static and dynamic situations.
LOCATION:Engineering Department - LR6
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