Method of modelling nonlinear bearing stiffness of metal plates in the area of installation of the fastener for static strength analysis

Аuthors

Arkhipov P. A.

,

e-mail: p_arkhipov@aerocomposit.ru

Abstract

The article considers methods for modeling fasteners in finite element models (FEM) developed for static strength analysis. It presents a method for modeling nonlinear bearing stiffness of metal plates in the area of fastener installation for solving static strength problems. This method takes into account the elastic-plastic behavior of the plate material. The algorithm consists of three consecutive steps: calculation the «Force-Displacement» graphs for a typical FEM of a plate and a bolt using three-dimensional finite elements; Calculation the «Force-Displacement» graphs for a FEM of a plate, corresponding to a typical modeling zone of a fastener of the FEM of the main part. In this article, two FEMs using shell elements are considered; calculating the «Force-Displacement» curve for a CBUSH element as the difference between the graph obtained using a FEM with three-dimensional elements and the graph obtained using a FEM of a typical zone of a fastener in the FEM of the part. The article presents formulas for calculating «Force-Displacement» graphs for other values of fastener diameter and plate thickness using the graph already obtained. Thus, it is necessary to develop only one FEM with three-dimensional elements and one FEM with shell elements for each pair of fastener and plate materials with one value of fastener diameter and one value of thickness of plate. It presents the calculation of the test task with the presentation of the results with the existing version of modeling fasteners and its modification according to the presented method. The presented approach allows for a reasonable calculation of the loads on the fasteners of a multi-bolt connection and the fasteners of non-load-bearing elements to load-bearing elements of the structure under loads close to the ultimate according to the criterion of bearing under the fastener.

Keywords:

fastener, finite element model (FEM), bearing stiffness

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