TO THE QUESTION OF THE DETERMINATION OF GEOMETRIC CHARACTERISTICS OF THE SECTION OF CORRUGATED BEAMS WITH TRAPEZOIDAL WEBS BASED ON THE SIMULATION RESULTS

An algorithm for calculating the geometric characteristics of steel I-beams with plate corrugated webs of arbitrary type is proposed. The algorithm is implemented using the I-beam with plate trapezoid webs as an example. The determination of reduced area and moments of inertia in the axes of the cross section of the trapezoidal profile based on the finite element modeling of the beam with shell elements in calculations for bending and axial compression in the “ANSYS 14.5” software package is described. The verification procedure has been performed for a shell finite element model using the example of an I-beam with a standard flat web. A table has been compiled of geometric characteristics of rod corrugated elements of a trapezoidal profile in order to realize their finite element calculation using a rod diagram. An example of the calculation of a flat frame with a horizontal corrugated element, made in software package “LIRA-SAPR” using a flat rod diagram is given.

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An 8-Node Shell Element for Nonlinear Analysis of Shells Using the Refined Combination of Membrane and Shear Interpolation Functions

Mathematical Problems in Engineering ◽

10.1155/2013/276304 ◽

2013 ◽

Vol 2013 ◽

pp. 1-16 ◽

Cited By ~ 3

Author(s):

Woo-Young Jung ◽

Sung-Cheon Han

Keyword(s):

Finite Element ◽

Shear Deformation Theory ◽

Shell Element ◽

Element Model ◽

Shell Elements ◽

Numerical Examples ◽

Plates And Shells ◽

Shell Finite Element ◽

Assumed Natural Strain ◽

Interpolation Functions

An improved 8-node shell finite element applicable for the geometrically linear and nonlinear analyses of plates and shells is presented. Based on previous first-order shear deformation theory, the finite element model is further improved by the combined use of assumed natural strains and different sets of collocation points for the interpolation of the different strain components. The influence of the shell element with various conditions such as locations, number of enhanced membranes, and shear interpolation is also identified. By using assumed natural strain method with proper interpolation functions, the present shell element generates neither membrane nor shear locking behavior even when full integration is used in the formulation. Furthermore, to characterize the efficiency of these modifications of the 8-node shell finite elements, numerical studies are carried out for the geometrically linear and non-linear analysis of plates and shells. In comparison to some other shell elements, numerical examples for the methodology indicate that the modified element described locking-free behavior and better performance. More specifically, the numerical examples of annular plate presented herein show good validity, efficiency, and accuracy to the developed nonlinear shell element.

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Stiffness Estimation and Equivalence of Boundary Conditions in FEM Models

Applied Sciences ◽

10.3390/app11041482 ◽

2021 ◽

Vol 11 (4) ◽

pp. 1482

Author(s):

Róbert Huňady ◽

Pavol Lengvarský ◽

Peter Pavelka ◽

Adam Kaľavský ◽

Jakub Mlotek

Keyword(s):

Boundary Condition ◽

Finite Element ◽

Boundary Conditions ◽

Model Updating ◽

Element Model ◽

Computational Time ◽

Stiffness Coefficients ◽

First Case ◽

Numerical Approaches

The paper deals with methods of equivalence of boundary conditions in finite element models that are based on finite element model updating technique. The proposed methods are based on the determination of the stiffness parameters in the section plate or region, where the boundary condition or the removed part of the model is replaced by the bushing connector. Two methods for determining its elastic properties are described. In the first case, the stiffness coefficients are determined by a series of static finite element analyses that are used to obtain the response of the removed part to the six basic types of loads. The second method is a combination of experimental and numerical approaches. The natural frequencies obtained by the measurement are used in finite element (FE) optimization, in which the response of the model is tuned by changing the stiffness coefficients of the bushing. Both methods provide a good estimate of the stiffness at the region where the model is replaced by an equivalent boundary condition. This increases the accuracy of the numerical model and also saves computational time and capacity due to element reduction.

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Shell finite element model for interactive foetal head deformation during childbirth

Computer Methods in Biomechanics & Biomedical Engineering ◽

10.1080/10255842.2013.815928 ◽

2013 ◽

Vol 16 (sup1) ◽

pp. 312-314 ◽

Cited By ~ 2

Author(s):

M. Bailet ◽

F. Zara ◽

E. Promayon

Keyword(s):

Finite Element ◽

Finite Element Model ◽

Element Model ◽

Foetal Head ◽

Shell Finite Element

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Some new results and current challenges in the finite element analysis of shells

Acta Numerica ◽

10.1017/s0962492901000034 ◽

2001 ◽

Vol 10 ◽

pp. 215-250 ◽

Cited By ~ 7

Author(s):

Dominique Chapelle

Keyword(s):

Finite Element ◽

Shell Theory ◽

Shell Structures ◽

Engineering Practice ◽

Element Analysis ◽

Shell Elements ◽

Shell Models ◽

The Finite Element Analysis ◽

Shell Finite Element ◽

Mathematical Analyses

This article, a companion to the article by Philippe G. Ciarlet on the mathematical modelling of shells also in this issue of Acta Numerica, focuses on numerical issues raised by the analysis of shells.Finite element procedures are widely used in engineering practice to analyse the behaviour of shell structures. However, the concept of ‘shell finite element’ is still somewhat fuzzy, as it may correspond to very different ideas and techniques in various actual implementations. In particular, a significant distinction can be made between shell elements that are obtained via the discretization of shell models, and shell elements – such as the general shell elements – derived from 3D formulations using some kinematic assumptions, without the use of any shell theory. Our first objective in this paper is to give a unified perspective of these two families of shell elements. This is expected to be very useful as it paves the way for further thorough mathematical analyses of shell elements. A particularly important motivation for this is the understanding and treatment of the deficiencies associated with the analysis of thin shells (among which is the locking phenomenon). We then survey these deficiencies, in the framework of the asymptotic behaviour of shell models. We conclude the article by giving some detailed guidelines to numerically assess the performance of shell finite elements when faced with these pathological phenomena, which is essential for the design of improved procedures.

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Use of DNVGL-RP-C203 for Determining the Fatigue Capacity of Connectors

10.1115/omae2021-62880 ◽

2021 ◽

Author(s):

Anthony Muff ◽

Anders Wormsen ◽

Torfinn Hørte ◽

Arne Fjeldstad ◽

Per Osen ◽

...

Keyword(s):

Finite Element ◽

Fatigue Testing ◽

Experimental Testing ◽

High Strength ◽

Element Model ◽

Fatigue Analysis ◽

Full Scale ◽

The Finite Element Model

Abstract Guidance for determining a S-N based fatigue capacity (safe life design) for preloaded connectors is included in Section 5.4 of the 2019 edition of DNVGL-RP-C203 (C203-2019). This section includes guidance on the finite element model representation, finite element based fatigue analysis and determination of the connector design fatigue capacity by use of one of the following methods: Method 1 by FEA based fatigue analysis, Method 2 by FEA based fatigue analysis and experimental testing and Method 3 by full-scale connector fatigue testing. The FEA based fatigue analysis makes use of Appendix D.2 in C203-2019 (“S-N curves for high strength steel applications for subsea”). Practical use of Section 5.4 is illustrated with a case study of a fatigue tested wellhead profile connector segment test. Further developments of Section 5.4 of C203-2019 are proposed. This included acceptance criteria for use of a segment test to validate the FEA based fatigue analysis of a full-scale preloaded connector.

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Dynamic Analysis of a Turbocharger Centrifugal Compressor Impeller

17th Design Automation Conference: Volume 2 — Computer-Aided Design, Mechanical Systems Simulation, and Analysis, Mechanisms, and Robotics ◽

10.1115/detc1991-0154 ◽

1991 ◽

Author(s):

V. Ramamurti ◽

D. A. Subramani ◽

K. Sridhara

Keyword(s):

Finite Element ◽

Finite Element Model ◽

Centrifugal Compressor ◽

Element Model ◽

Simplified Model ◽

Cyclic Symmetry ◽

Compressor Impeller ◽

Cyclic Symmetric ◽

The Finite Element Model

Abstract Stress analysis and determination of eigen pairs of a typical turbocharger compressor impeller have been carried out using the concept of cyclic symmetry. A simplified model treating the blade and the hub as isolated elements has also been attempted. The limitations of the simplified model have been brought out. The results of the finite element model using the cyclic symmetric approach have been discussed.

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Finite Element Modeling of Unidirectional Non-Crimp Fabric for Manufacturing of Composites with Embedded Cabling

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.554-557.484 ◽

2013 ◽

Vol 554-557 ◽

pp. 484-491 ◽

Cited By ~ 3

Author(s):

Alexander S. Petrov ◽

James A. Sherwood ◽

Konstantine A. Fetfatsidis ◽

Cynthia J. Mitchell

Keyword(s):

Finite Element ◽

Finite Element Model ◽

Element Model ◽

Explicit Finite Element ◽

Shell Elements ◽

Beam Elements ◽

Hybrid Finite Element ◽

International Benchmarking ◽

Unidirectional Glass ◽

Forming Simulations

A hybrid finite element discrete mesoscopic approach is used to model the forming of composite parts using a unidirectional glass prepreg non-crimp fabric (NCF). The tensile behavior of the fabric is represented using 1-D beam elements, and the shearing behavior is captured using 2-D shell elements into an ABAQUS/Explicit finite element model via a user-defined material subroutine. The forming of a hemisphere is simulated using a finite element model of the fabric, and the results are compared to a thermostamped part as a demonstration of the capabilities of the used methodology. Forming simulations using a double-dome geometry, which has been used in an international benchmarking program, were then performed with the validated finite element model to explore the ability of the unidirectional fabric to accommodate the presence of interlaminate cabling.

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