THE PENALTY AND LAGRANGE MULTIPLIER METHODS IN THE FRICTIONAL 3D BEAM-TO-BEAM CONTACT PROBLEM

Journal Title: Civil and Environmental Engineering Reports - Year 2005, Vol 1, Issue 1

Abstract

This paper is concerned with the frictional contact between beams. The purpose is to compare the results obtained by the penalty and Lagrange multiplier methods. The advantages and disadvantages of both methods are generally known and widely discussed but not in the quantitative manner and not specifically for the problem of beam-to-beam contact. The paper sketches briefly both formulations pointing out the main differences and features of both methods. The section with examples presents several cases of analysed beam-to-beam contact scenarios. The accuracy of results is taken into account, also the comparison to the full 3D analysis performed using the program ABAQUS is made. The computation times and the length of the codes for both methods are compared as well. These criteria allow one to conclude that for the beam-to-beam contact problem the Lagrange multiplier method is more attractive than the penalty method.

Authors and Affiliations

Przemysław LITEWKA

Keywords

Related Articles

DESIGN AND CONSTRUCTION PROBLEMS CONNECTED WITH ENSURING EVEN THERMAL INSULATION OF SINGLE-LAYER WALLS

The design of single-layer walls appears to be extremely simple. In the opinion of many designers, the additional insulation of tie beams and balconies continues to solve all problems. However, tests on single-layer wall...

ASSESSMENT OF NATURAL VENTILATION SYSTEM FOR A TYPICAL RESIDENTIAL HOUSE IN POLAND

The paper presents the research results of field measurements campaign of natural ventilation performance and effectiveness in a residential building. The building is located in the microclimate whose parameters differ s...

Selected models for the description of the kinematics of changes of height differences between points in a geodesic network under the influence of mining

The article attempts to describe the progress of deformation of the surface of the Legnica-Głogów Copper Mining Area in the years 1967-2008. The state of deformation has been described with kinematical models of the disp...

BENDING RESISTANCE OF METAL-CONCRETE COMPOSITE BEAMS IN A NATURAL FIRE

In this paper, the bending resistance of three metal-concrete composite beams was compared in real car fires in an open car park. Steel and concrete composite beams are often used for the construction of ceilings in mult...

ANALYSIS OF POSSIBILITY OF YEAST PRODUCTION INCREASE AT MAINTAINED CARBON DIOXIDE EMISSION LEVEL

Main parameters polluting of technological wastewater (dregs from decantation and thicken of the wort) from yeast industry are: nitrogen, potassium and COD. Such wastewater are utilized mostly on agricultural fields. Unf...

Download PDF file
  • EP ID EP270286
  • DOI -
  • Views 70
  • Downloads 0

How To Cite

Przemysław LITEWKA (2005). THE PENALTY AND LAGRANGE MULTIPLIER METHODS IN THE FRICTIONAL 3D BEAM-TO-BEAM CONTACT PROBLEM. Civil and Environmental Engineering Reports, 1(1), 190-207. https://europub.co.uk/articles/-A-270286