AN EXPLICIT CONSISTENT GEOMETRIC STIFFNESS MATRIX FOR THE DKT ELEMENT

Authors

  • ELISEU LUCENA NETO INSTITUTO TECNOLÓGICO DE AERONÁUTICA
  • MARCUS ANTÔNIO FERREIRA ARARIPE INSTITUTO TECNOLÓGICO DE AERONÁUTICA
  • FRANCISCO ALEX CORREIA MONTEIRO INSTITUTO TECNOLÓGICO DE AERONÁUTICA
  • JOSÉ ANTԔNIO HERNANDES INSTITUTO TECNOLÓGICO DE AERONÁUTICA

Keywords:

DKT, GEOMETRIC STIFFNESS MATRIX, DISCRETE KIRCHHOFF TRIANGLE, BUCKLING

Abstract

A LARGE NUMBER OF REFERENCES DEALING WITH THE GEOMETRIC STIFFNESS MATRIX OF THE DKT FINITE ELEMENT EXIST IN THE LITERATURE, WHERE NEARLY ALL OF THEM ADOPT AN INCONSISTENT FORM. WHILE SUCH A MATRIX MAY BE PART OF THE ELEMENT TO TREAT NONLINEAR PROBLEMS IN GENERAL, IT IS OF CRUCIAL IMPORTANCE FOR LINEARIZED BUCKLING ANALYSIS. THE PRESENT WORK SEEMS TO BE THE FIRST TO OBTAIN AN EXPLICIT EXPRESSION FOR THIS MATRIX IN A CONSISTENT WAY. NUMERICAL RESULTS ON LINEAR BUCKLING OF PLATES ASSESS THE ELEMENT PERFORMANCE EITHER WITH THE PROPOSED EXPLICIT CONSISTENT MATRIX, OR WITH THE MOST COMMONLY USED INCONSISTENT MATRIX.

Published

2017-02-09

Issue

Section

Articles