Contact between rolling beams and flat surfaces

Abstract

SUMMARYThis work presents a new approach to model the contact between a circular cross section beam and a flat surface. In a finite element environment, when working with beam elements in contact with surfaces, it is common to consider node or line to surface approaches for describing contact. An offset can be included in normal gap function due to beam cross section dimensions. Such a procedure can give good results in frictionless scenarios, but the friction effects are not usually properly treated. When friction plays a role (e.g., rolling problems or alternating rolling/sliding) more elaboration is necessary. It is proposed here a method that considers an offset not only in normal gap. The basic idea is to modify the classical definition of tangential gap function in order to include the effect of rigid body rotation that occurs in a rolling scenario and, furthermore, consider the moment of friction force. This paper presents the new gap function definition and also its consistent linearization for a direct implementation in a Newton‐Raphson method to solve nonlinear structural problems modeled using beam elements. The methodology can be generalized to any interaction involving elements with rotational degrees of freedom. Copyright © 2013 John Wiley & Sons, Ltd.

Frictional beam-to-beam multiple-point contact finite element

“…This topic was addressed in the further paper by Konyukhov and Schweizerhof [12] and by Gay Neto et al [13,14]. Further- Fig.…”

“…For the case with three contact pairs as introduced in Sect. 2, the friction contribution to (14) can be given as…”

Catenary riser sliding and rolling on seabed during induced lateral movement

“…Some case studies are presented to better understand the physics of riser-seabed interaction. [8] for all results and conclusions here produced. A brief resume of the model is presented now, for completeness of the present paper.…”

“…In the context of a beam model with DOFs to describe each cross section movement, one can think on mapping cross sections in space to evaluate the actual amount of sliding or rolling in each contact interface. This idea was developed and presented in Gay Neto et al (2014) [8]. Basically, the main contribution of that work is to include the information of translation and rotation in tangential gap functions (see Wriggers, 2002 [4]).…”

Dynamics of Wind Turbine Blades Using a Geometrically-Exact Beam Formulation

“…A geometrically-exact model for static offshore risers for oil exploitation was presented by Gay Neto et al (2014a), which was used to study the riser stability under torsion by Gay Neto and Martins (2013), Gay Neto et al (2014b) and Wriggers et al (2015). On these models, the contact between the riser and the seabed is considered, and in some cases a rolling beam to flat surface contact model is used, as presented by Gay Neto et al (2014a). Although all the complexity involved on the development of the geometrically-exact beam formulation, a linear constitutive equation regarding the cross section of a warping-free beam element is given by:…”