PHYSICAL AND GEOMETRICAL NON-LINEAR ANALYSIS OF PLANE FRAMES CON-SIDERING ELASTOPLASTIC SEMI-RIGID CONNECTIONS BY THE POSITIONAL FEM

Authors

  • HUMBERTO BREVES CODA DEPARTAMENTO DE ENGENHARIA DE ESTRUTURAS, ESCOLA DE ENGENHARIA DE SãO CARLOS, UNIVERSIDADE DE SãO PAULO
  • MARCELO CAMPOS JUNQUEIRA REIS DEPARTAMENTO DE ENGENHARIA DE ESTRUTURAS, ESCOLA DE ENGENHARIA DE SãO CARLOS, UNIVERSIDADE DE SãO PAULO

Keywords:

FRAMES, PHYSICAL AND GEOMETRICAL NON-LINEAR ANALYSIS, POSITIONAL FEM, ELASTOPLASTIC CONNECTIONS, LAMINATE CROSS SECTIONS.

Abstract

            THIS STUDY PRESENTS AN ALTERNATIVE FINITE ELEMENT FORMULATION BASED ON POSITIONS TO MODEL PLANE FRAMES CONSIDERING GEOMETRICAL NON-LINEAR AND ELASTOPLASTIC BEHAVIOR FOR MEMBERS AND SEMI-RIGID CONNECTIONS. THE FORMULATION INCLUDES SHEAR EFFECTS AND ALLOWS THE CONSIDERATION OF IMPORTANT MECHANICAL BEHAVIOR OF STRUCTURES IN DESIGN DECISIONS AND VERIFICATIONS. THE PRINCIPLE OF STATIONARY ENERGY IS USED TO FIND THE EQUILIBRIUM EQUATIONS. A MULTI-LINEAR ELASTOPLASTIC CONSTITUTIVE LAW IS DEVELOPED FOR BOTH CONTINUUM MEMBERS AND SEMI-RIGID CONNECTIONS IN ORDER TO COMPRISE ANY PROPOSED STRESS-STRAIN DIAGRAM. LARGE ROTATIONS AND DISPLACEMENTS ARE CONSIDERED FOR BOTH SEMI-RIGID CONNECTIONS AND STRUCTURE. THE MOST IMPORTANT STEPS USED TO DERIVE THE FORMULATION ARE DESCRIBED ALONG THE PAPER AND VARIOUS EXAMPLES ARE USED TO VALIDATE AND SHOW THE POSSIBILITIES OF THE PROPOSED TECHNIQUE.

 

 

Published

2014-02-13

Issue

Section

Articles