On the Three-Dimensional Finite Element Analysis of Dovetail Attachments

The stress analysis of dovetail attachments presents some challenges. These stem from the high stress gradients at the edges of contact. They also stem from the nonlinearities accompanying conforming contact. Even with two-dimensional analysis, obtaining converged peak stresses is not trivial. With three-dimensional analysis, convergence can be expected to be more difficult to achieve because of the added computational costs of refinement in three dimensions. To meet these challenges, this paper describes a submodeling procedure with finite elements. The submodeling approach features bicubic surface fits to displacements for submodel boundary conditions. The approach also features a means of verifying these boundary conditions have converged: This is crucial to obtaining accurate converged peak stresses. The approach is applied to a three-dimensional test piece used to simulate a dovetail attachment. This application leads to converged three-dimensional stresses. These stresses serve to quantify the sort of increases in contact stresses in attachments due to three-dimensional effects.

On the Three-Dimensional Finite Element Analysis of Dovetail Attachments

Journal of Turbomachinery ◽

10.1115/1.1539867 ◽

2003 ◽

Vol 125 (2) ◽

pp. 372-379 ◽

Cited By ~ 18

Author(s):

J. R. Beisheim ◽

G. B. Sinclair

Keyword(s):

Boundary Conditions ◽

Dimensional Analysis ◽

High Stress ◽

Three Dimensional ◽

Three Dimensions ◽

Two Dimensional ◽

Element Analysis ◽

Computational Costs ◽

The stress analysis of dovetail attachments presents some challenges. These stem from the high stress gradients at the edges of contact. They also stem from the nonlinearities accompanying conforming contact. Even with two-dimensional analysis, obtaining converged peak stresses is not trivial. With three-dimensional analysis, convergence can be expected to be more difficult to achieve because of the added computational costs of refinement in three dimensions. To meet these challenges, this paper describes a submodeling procedure with finite elements. The submodeling approach features bicubic surface fits to displacements for submodel boundary conditions. The approach also features a means of verifying these boundary conditions have converged; this is crucial to obtaining accurate converged peak stresses. The approach is applied to a three-dimensional test piece used to simulate a dovetail attachment. This application leads to converged three-dimensional stresses. These stresses serve to quantify the sort of increases in contact stresses in attachments due to three-dimensional effects.

Three-Dimensional Finite Element Analysis of Dovetail Attachments With and Without Crowning

Journal of Turbomachinery ◽

10.1115/1.2751486 ◽

2008 ◽

Vol 130 (2) ◽

Cited By ~ 7

Author(s):

J. R. Beisheim ◽

G. B. Sinclair

Keyword(s):

Stress Analysis ◽

Coulomb Friction ◽

High Stress ◽

Three Dimensional ◽

Contact Stresses ◽

Three Dimensions ◽

Element Analysis ◽

Friction Laws ◽

The stress analysis of dovetail attachments presents some challenges. These stem from the high stress gradients present, the contact inequalities attending conforming contact, and the nonlinearities inherent in Coulomb friction laws. Obtaining converged contact stresses in the presence of these phenomena is demanding, especially in three dimensions. In Beisheim and Sinclair (2003, ASME J. Turbomach., 125, pp. 372–379), a submodeling approach with finite elements is employed to meet these challenges when friction is not present. Here we extend this approach to treat contact when friction is present. Converged stresses are obtained by using two successive submodels. Comparing these stresses with two-dimensional analysis elucidates some of the truly three-dimensional aspects of the stress analysis of dovetail attachments. Further comparisons of contact stresses when crowning is added indicate the possible alleviation of fretting fatigue that may be afforded by this means.

Three-Dimensional Finite Element Analysis of Dovetail Attachments With and Without Crowning

Volume 6: Turbo Expo 2004 ◽

10.1115/gt2004-53222 ◽

2004 ◽

Author(s):

J. R. Beisheim ◽

G. B. Sinclair

Keyword(s):

Stress Analysis ◽

Coulomb Friction ◽

High Stress ◽

Three Dimensional ◽

Contact Stresses ◽

Three Dimensions ◽

Element Analysis ◽

Friction Laws ◽

The stress analysis of dovetail attachments presents some challenges. These stem from the high stress gradients present, the contact inequalities attending conforming contact, and the nonlinearities inherent in Coulomb friction laws. Obtaining converged contact stresses in the presence of these phenomena is demanding, especially in three dimensions. In [1], a submodeling approach with finite elements is employed to meet these challenges when friction is not present. Here we extend this approach to treat contact when friction is present. Converged stresses are obtained by using two successive submodels. Comparing these stresses with two-dimensional analysis elucidates some of the truly three-dimensional aspects of the stress analysis of dovetail attachments. Further comparisons of contact stresses when crowning is added indicate the possible alleviation of fretting fatigue that may be afforded by this means.

Modeling of a One-Sided Bonded and Rigid Constraint Using Beam Theory

Journal of Applied Mechanics ◽

10.1115/1.2839898 ◽

2008 ◽

Vol 75 (3) ◽

Cited By ~ 3

Author(s):

Peter J. Ryan ◽

George G. Adams ◽

Nicol E. McGruer

Keyword(s):

Boundary Conditions ◽

Microelectromechanical Systems ◽

Three Dimensional ◽

Beam Theory ◽

Rotational Stiffness ◽

Element Analysis ◽

Transverse Loads ◽

Rigid Constraint ◽

In beam theory, constraints can be classified as fixed/pinned depending on whether the rotational stiffness of the support is much greater/less than the rotational stiffness of the freestanding portion. For intermediate values of the rotational stiffness of the support, the boundary conditions must account for the finite rotational stiffness of the constraint. In many applications, particularly in microelectromechanical systems and nanomechanics, the constraints exist only on one side of the beam. In such cases, it may appear at first that the same conditions on the constraint stiffness hold. However, it is the purpose of this paper to demonstrate that even if the beam is perfectly bonded on one side only to a completely rigid constraining surface, the proper model for the boundary conditions for the beam still needs to account for beam deformation in the bonded region. The use of a modified beam theory, which accounts for bending, shear, and extensional deformation in the bonded region, is required in order to model this behavior. Examples are given for cantilever, bridge, and guided structures subjected to either transverse loads or residual stresses. The results show significant differences from the ideal bond case. Comparisons made to a three-dimensional finite element analysis show a good agreement.

Two-dimensional and three-dimensional finite element analysis of critical crack-tip-opening angle in 2024-T351 aluminum alloy at four thicknesses

Engineering Fracture Mechanics ◽

10.1016/s0013-7944(03)00167-x ◽

2004 ◽

Vol 71 (9-10) ◽

pp. 1379-1391 ◽

Cited By ~ 19

Author(s):

Samer Mahmoud ◽

Kevin Lease

Keyword(s):

Finite Element Analysis ◽

Three Dimensional ◽

Opening Angle ◽

Two Dimensional ◽

Element Analysis ◽

Critical Crack ◽

Crack Tip Opening Angle ◽

Three Dimensional Finite Element ◽

Crack Tip Opening

Preliminary Ship Design Using One and Two-Dimensional Models

Marine Technology and SNAME News ◽

10.5957/mt1.1999.36.2.102 ◽

1999 ◽

Vol 36 (02) ◽

pp. 102-112

Author(s):

Michael D. A. Mackney ◽

Carl T. F. Ross

Keyword(s):

Finite Element ◽

Dimensional Analysis ◽

Three Dimensional ◽

Two Dimensional ◽

One Dimensional ◽

Dimensional Models ◽

Support Conditions ◽

The One ◽

Computational studies of hull-superstructure interaction were carried out using one-, two-and three-dimensional finite element analyses. Simplification of the original three-dimensional cases to one- and two-dimensional ones was undertaken to reduce the data preparation and computer solution times in an extensive parametric study. Both the one- and two-dimensional models were evaluated from numerical and experimental studies of the three-dimensional arrangements of hull and superstructure. One-dimensional analysis used a simple beam finite element with appropriately changed sections properties at stations where superstructures existed. Two-dimensional analysis used a four node, first order quadrilateral, isoparametric plane elasticity finite element, with a corresponding increase in the grid domain where the superstructure existed. Changes in the thickness property reflected deck stiffness. This model was essentially a multi-flanged beam with the shear webs representing the hull and superstructure sides, and the flanges representing the decks One-dimensional models consistently and uniformly underestimated the three-dimensional behaviour, but were fast to create and run. Two-dimensional models were also consistent in their assessment, and considerably closer in predicting the actual behaviours. These models took longer to create than the one-dimensional, but ran in very much less time than the refined three-dimensional finite element models Parametric insights were accomplished quickly and effectively with the simplest model and processor, but two-dimensional analyses achieved closer absolute measure of the displacement behaviours. Although only static analysis with simple loading and support conditions were presented, it is believed that similar benefits would be found for other loadings and support conditions. Other engineering components and structures may benefit from similarly judged simplification using one- and two-dimensional models to reduce the time and cost of preliminary design.

THREE DIMENSIONAL FINITE ELEMENT SIMULATION OF THE FRETTING WEAR PROBLEMS

International Journal of Modern Physics B ◽

10.1142/s0217979206040544 ◽

2006 ◽

Vol 20 (25n27) ◽

pp. 3890-3895 ◽

Cited By ~ 2

Author(s):

CHOON YEOL LEE ◽

JOON WOO BAE ◽

BYUNG SUN CHOI ◽

YOUNG SUCK CHAI

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Three Dimensional ◽

Fretting Wear ◽

Symmetric Model ◽

Two Dimensional ◽

Element Analysis ◽

Inconel 690 ◽

The structural integrity of steam generators in nuclear power plants is very much dependent upon the fretting wear characteristics of Inconel 690 U-tubes. In this study, a finite element analysis was used to investigate fretting wear on the secondary side of the steam generator, which arises from flow-induced vibrations (FIV) between the U-tubes and supports or foreign objects. Two-dimensional and three-dimensional finite element analyses were adopted to investigate the fretting wear problems. The purpose of the two-dimensional analysis, which simulated the contact between a punch and a plate, was to demonstrate the validity of using finite element analysis to analyze fretting wear problems. This was achieved by controlling the value of the wear constant and the number of cycles. The two-dimensional solutions obtained from this study were in good agreement with previous results reported by Strömberg. In the three-dimensional finite element analysis, a quarterly symmetric model was used to simulate tubes contacting at right angles. The results of the analyses showed donut-shaped wear along the contacting boundary, which is a typical feature of fretting wear.

The Fatigue Life Analysis of the Crosshead Based on ANSYS

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.121-126.4208 ◽

2011 ◽

Vol 121-126 ◽

pp. 4208-4212 ◽

Cited By ~ 1

Author(s):

Xin Mei Yuan ◽

Si Zhu Zhou ◽

Tian Cheng Huang

Keyword(s):

Finite Element ◽

High Stress ◽

Three Dimensional ◽

Distribution Law ◽

Element Analysis ◽

Plunger Pump ◽

Life Analysis ◽

Fatigue Life Analysis ◽

With three-dimensional finite element method, the crosshead of plunger pump was analyzed. The distribution law of stress at the crosshead was obtained and the stress concentration coefficient of high stress field was calculated. The life of crosshead was estimated by S-N curve of crosshead and the result of finite element analysis, which provides basis of estimating life of the crosshead.

A Numerical Study of the effect of Bolt Thread Geometry on the Load Distribution of Continuous Threads

Journal of Engineering Research ◽

10.36909/jer.9785 ◽

2021 ◽

Author(s):

Abdulla Sherif Mahmoud Fathalla ◽

◽

Ali Akhavan Farid ◽

Reza Moezzi ◽

Seyed Saeid Rahimian Koloor ◽

...

Keyword(s):

Load Distribution ◽

Numerical Study ◽

Three Dimensional ◽

Two Dimensional ◽

Element Analysis ◽

Reliable Performance ◽

Dimensional Simulation ◽

Three Dimensional Finite Element ◽

Distribution Behaviour

Load distribution has been studied extensively for ISO thread, but the load distribution on power screw threads, specifically ACME and Square threads, has not been studied yet. In this article, axisymmetric two-dimensional and three-dimensional Finite Element Analysis have been conducted on bolts with different sizes and thread geometries to examine the effect of the thread geometry on the load distribution. The thread geometries were studied with ISO, ACME, and Square threads attention. The sizes used are from the ISO coarse series. In order to investigate on the effect of bolt thread geometry, several simulations have been performed. The two-dimensional simulation results have shown reliable performance in determining the load distribution behaviour when the thread geometry is modified. Moreover, the results agreed with the three-dimensional simulation outcomes regarding the load distribution behaviour when the size is varied.