Finite Element Analysis of Beam-to-Beam Contact

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Springer Science & Business Media, Apr 24, 2010 - Technology & Engineering - 175 pages
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Phenomena occurring during a contact of two bodies are encountered in everyday life. In reality almost every type of motion is related to frictional contact between a moving body and a ground. Moreover, modeling of simple and more complex processes as nailing, cutting, vacuum pressing, movement of machines and their elements, rolling or, finally, a numerical simulation of car crash tests, requires taking contact into account. Therefore, its analysis has been a subject of many research efforts for a long time now. However, it is author’s opinion that there are relatively few efforts related to contact between structural elements, like beams, plates or shells. The purpose of this work is to fill this gap. It concerns the beam-to-beam contact as a specific case of the 3D solids contact. A numerical formulation of frictional contact for beams with two shapes of cross-section is derived. Further, a couple of effective methods for modeling of smooth curves representing beam axes are presented. A part of the book is also devoted to analyze some aspects of thermo-electro-mechanical coupling in contact of thermal and electric conductors. Analyses in every chapter are illustrated with numerical examples showing the performance of derived contact finite elements.
 

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Contents

Introduction
1
Frictionless BeamtoBeam Contact
13
Friction in BeamtoBeam Contact
38
Contact between Smoothed Beams
71
Electric Contact
98
Thermomechanical Coupling
121
Summary and Outlook
135
Appendix 1 Matrices D and E for Beams with Rectangular CrossSections
137
Appendix 2 Derivation of Variables Deltadeltaxi_mn and Deltadeltaxi_sn
141
Appendix 3 Matrices G H and M in Smoothing Procedures
146
Bibliography
155
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