A C1 BEAM ELEMENT BASED ON OVERHAUSER INTERPOLATION

Authors

  • ANDRÉ SCHWANZ DE LIMA INSTITUTO TECNOLÓGICO DE AERONÁUTICA - ITA
  • ALFREDO ROCHA DE FARIA INSTITUTO TECNOLÓGICO DE AERONÁUTICA - ITA

Keywords:

FINITE ELEMENT, INTERPOLATION, OVERHAUSER, BEAM.

Abstract

A NEW C1 ELEMENT IS PROPOSED TO MODEL EULER-BERNOULLI BEAMS IN ONE AND TWO-DIMENSIONAL PROBLEMS. THE PROPOSED FORMULATION ASSURES C1 CONTINUITY REQUIREMENT WITHOUT THE USE OF ROTATIONAL DEGREES OF FREEDOM, USED IN TRADITIONAL ELEMENTS, THROUGH THE USE OF AN OVERHAUSER INTERPOLATION SCHEME FOR BENDING DISPLACEMENTS. THE PRINCIPLE OF VIRTUAL DISPLACEMENTS IS USED TO DETERMINE THE EQUILIBRIUM EQUATIONS AND BOUNDARY CONDITIONS FOR ONE AND TWO-DIMENSIONAL EULER-BERNOULLI BEAMS. THE OVERHAUSER INTERPOLATION IS INTRODUCED AND THE NEW BENDING INTERPOLATION FUNCTIONS ARE DEFINED. FINALLY, BEAM AND FRAME PROBLEMS ARE SOLVED WITH THE NEW FORMULATION AND THE RESULTS ARE COMPARED TO THE TRADITIONAL EULER-BERNOULLI ELEMENT AND EXACT SOLUTIONS.

Author Biographies

ANDRÉ SCHWANZ DE LIMA, INSTITUTO TECNOLÓGICO DE AERONÁUTICA - ITA

BS IN MECHANICAL ENGINEERING (UFES, 2014), SANDWICH GRADUATION AT ÉCOLE DES MINES D’ALÈS (2012-2013), MSC IN AERONAUTICAL AND MECHANICAL ENGINEERING (ITA, 2016). DOCTORATE STUDENT OF THE DEPARTMENT OF MECHANICAL ENGINEERING OF ITA, SOLID MECHANIC AND STRUCTURES FIELD.

ALFREDO ROCHA DE FARIA, INSTITUTO TECNOLÓGICO DE AERONÁUTICA - ITA

BS AND MSC IN MECHANICAL ENGINEERING (ITA, 1993, 1995), PHD IN AEROSPACE SCIENCE & ENGINEERING (UNIVERSITY OF TORONTO, 2000). ASSOCIATE PROFESSOR IN THE DEPARTMENT OF MECHANICAL ENGINEERING OF ITA. RESPONSIBLE FOR TEACHING UNDERGRADUATE AND GRADUATE COURSES. CNPQ FELLOWSHIP HOLDER (PQ 1D).

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Published

2016-11-29

Issue

Vol. 14 No. 01 (2017)

Section

Articles

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