Finite elements for a beam system with nonlinear contact under periodic excitation

Effect of flexibility of an internal gear on the quasi-static behavior of a planetary gear set is investigated. A state-of-the-art finite elements/semi-analytical nonlinear contact mechanics formulation is employed to model a typical automotive automatic transmission planetary unit. The model considers each gear as deformable bodies and meshes them to predict loads, stresses and deformations of the gears. Actual support and spline conditions are included in the model. The rim thickness of the internal gear is varied relative to the tooth height and gear deflections and bending stresses are quantified as a function of rim thickness. Influence of rim thickness on the load sharing amongst the planets is also investigated with and without floating sun gear condition. The results are discussed in detail and guidelines regarding the design of a planetary internal gear are presented.

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Calculation of plate-beam systems by method of boundary elements

International Journal of Engineering & Technology ◽

10.14419/ijet.v7i2.23.11927 ◽

2018 ◽

Vol 7 (2.23) ◽

pp. 238 ◽

Cited By ~ 7

Author(s):

Mykola Surianinov ◽

Oleksii Shyliaiev

Keyword(s):

Finite Elements ◽

Fundamental System ◽

Boundary Elements ◽

Algebraic Equations ◽

Contact Conditions ◽

Small System ◽

Beam System ◽

Linear Algebraic Equations ◽

Method Of Boundary Elements ◽

Load Vector

The approach to calculation of plate-beam systems by numerical and analytical method of boundary elements is proposed. The method consists in construction in analytical way a fundamental system of solutions, the Green’s function and external load vector for the problem under consideration. Small system of linear algebraic equations to be solved numerically is constructed to take into account the boundary conditions or contact conditions between separate modules.The series of plate-beam system calculations by methods of boundary elements and finite elements at different geometric parameters of plate was performed to assess the limits of applicability of developed theory. The comparison of 45 variants calculations by both methods is shown.

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On linear and higher order standard finite elements for 3D-nonlinear contact problem

Computers & Structures ◽

10.1016/0045-7949(94)90370-0 ◽

1994 ◽

Vol 53 (4) ◽

pp. 817-823 ◽

Cited By ~ 5

Author(s):

R. Buczkowski ◽

M. Kieiber ◽

U. Gabbert

Keyword(s):

Finite Elements ◽

Contact Problem ◽

Higher Order ◽

Nonlinear Contact

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Application of the Rigid Finite Element Method for Modelling an Offshore Pedestal Crane

Archive of Mechanical Engineering ◽

10.2478/meceng-2013-0028 ◽

2013 ◽

Vol 60 (3) ◽

pp. 451-471 ◽

Cited By ~ 3

Author(s):

Jerzy Krukowski ◽

Andrzej Maczynski

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Finite Elements ◽

Efficient Method ◽

Degrees Of Freedom ◽

Variable Length ◽

Rigid Finite Element Method ◽

Beam System ◽

Considerable Length ◽

Element Method

Abstract In offshore pedestal cranes one may distinguish three components of considerable length: a pedestal, a boom and a frame present in some designs. It is often necessary in dynamical analyses to take into account their flexibility. A convenient and efficient method for modelling them is the rigid finite element method in a modified form. The rigid finite element method allows us to take into account the flexibility of the beam system in selected directions while introducing a relatively small number of additional degrees of freedom to the system. This paper presents a method for modelling the pedestal, the frame and the boom of an offshore column crane, treating each of these components in a slightly different way. A custom approach is applied to the pedestal, using rigid finite elements of variable length. Results of sample numeric computations are included.

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Comparison of Detailed Belt - Cylinder Interaction Model with Classical Belt Friction Formula

Strojnícky casopis – Journal of Mechanical Engineering ◽

10.2478/scjme-2019-0024 ◽

2019 ◽

Vol 69 (3) ◽

pp. 9-16

Author(s):

Radek Bulín ◽

Michal Hajžman

Keyword(s):

Finite Elements ◽

Absolute Nodal Coordinate Formulation ◽

Interaction Model ◽

Contact Forces ◽

Equilibrium Conditions ◽

Absolute Nodal Coordinate ◽

Rigid Cylinder ◽

Nonlinear Contact ◽

The Absolute

AbstractThis paper deals with a comparison of the classical belt friction formula, also called Euler-Eytelwein equation, with a detailed belt-cylinder interaction model. The belt friction is a typical pedagogical problem where the usage of equilibrium conditions is shown, but also have a practical usage, e.g. a heavy ship anchor pulling or a belt brake. The presented belt-cylinder interaction model is based on the absolute nodal coordinate formulation of beam finite elements with the consideration of nonlinear contact forces between a beam and a rigid cylinder.

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