scholarly journals Analysis of a Feder

2015 ◽  
Vol 2 (1) ◽  
pp. 255-274
Author(s):  
Ferenc Rádi
Keyword(s):  
Finite Element ◽  
Closed Form ◽  
Cross Section ◽  
Computer Analysis ◽  
Input Data ◽  
Real Life ◽  
Critical Cross Section ◽  
Analytical Mechanics ◽  
Computer Aided ◽  
The Cross

This paper covers an analysis in the cross section of sword fencing and the field of analytical mechanics and computer analysis. It aims to get answer to following questions in case of a normal blow with a feder on another feder: where are critical cross section/sections, where is the biggest stress, might the feder maybe break or not? To inspect this question a model for the feder was created in a reliable, realistic, simple and closed form. Modeling a single blow acceleration and speed state at the chosen time will be calculated. Based on this input data equations and conclusions from the analytical mechanics were applied, where D’Alamberts principle is used. Results will be validated by finite element computer aided modeling and also applied on specified real life cases.

scholarly journals Analysis of a Feder

2015 ◽  
Vol 2015 (2) ◽  
pp. 300-318
Author(s):  
Ferenc Rádi
Keyword(s):  
Finite Element ◽  
Closed Form ◽  
Cross Section ◽  
Computer Analysis ◽  
Input Data ◽  
Real Life ◽  
Critical Cross Section ◽  
Analytical Mechanics ◽  
Computer Aided ◽  
The Cross

Abstract This paper covers an analysis in the cross section of sword fencing and the field of analytical mechanics and computer analysis. It aims to get answer to following questions in case of a normal blow with a feder on another feder: where are critical cross section/sections, where is the biggest stress, might the feder maybe break or not? To inspect this question a model for the feder was created in a reliable, realistic, simple and closed form. Modeling a single blow acceleration and speed state at the chosen time will be calculated. Based on this input data equations and conclusions from the analytical mechanics were applied, where D’Alamberts principle is used. Results will be validated by finite element computer aided modeling and also applied on specified real life cases.

Closed-Form Approximate Formulas for Torsional Analysis of Hollow Tubes with Straight and Circular Edges

2009 ◽  
Vol 25 (4) ◽  
pp. 401-409 ◽  
Author(s):  
A. Doostfatemeh ◽  
M. R. Hematiyan ◽  
S. Arghavan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Closed Form ◽  
Cross Section ◽  
Stress Function ◽  
Analytical Formulas ◽  
The Cross ◽  
Torsional Analysis ◽  
Approximate Formulas ◽  
Element Method

ABSTRACTSome analytical formulas are presented for torsional analysis of homogeneous hollow tubes. The cross section is supposed to consist of straight and circular segments. Thicknesses of segments of the cross section can be different. The problem is formulated in terms of Prandtl's stress function. The derived approximate formulas are so simple that computations can be carried out by a simple calculator. Several examples are presented to validate the formulation. The accuracy of formulas is verified by accurate finite element method solutions. It is seen that the error of the formulation is small and the formulas can be used for analysis of thin to moderately thick-walled hollow tubes.

scholarly journals Assessment of Rectangular Cavity in Concrete Gravity Retaining Wall using Finite Element Method

2019 ◽  
Vol 8 (4) ◽  
pp. 2656-2661
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Distribution ◽  
Cross Section ◽  
Retaining Wall ◽  
Rectangular Cavity ◽  
Gravity Retaining Wall ◽  
The Cross ◽  
Conditions Of Stability ◽  
Element Method

The design of the Gravity retaining wall (GRW) is a trial and error process. Prevailing conditions of backfill are used to determine the profile of GRW, which proceeds with the selection of provisional dimensions. The optimum section is having factors of safety of stability higher than the allowable values and stresses in the cross-section smaller than permissible. The cross-section is designed to fulfill conditions of stability, subjected to very low stresses. The strength of the material, which is provided in the cross-section remains unutilized. A computer program is developed to find stresses at various locations on the cross-section of GRW using the Finite Element Method (FEM). A discontinuity in the form of a rectangular cavity is introduced in the cross-section of GRW to optimize it. The rectangular cavity is introduced in the cross-section of GRW at different locations. An attempt is made in this paper to find the stress distribution in the gravity retaining wall cross-section and to study the effect of the rectangular cavity on the stress distribution. Two cases representing different locations are considered to study the effect of the cavity. The location of the cavity is distinguished by the parameter w, the effects of cases with varied was 0.2305 (Case-I) and 0.1385 (Case-II) are observed. The cavity, which is provided not only makes the wall structurally efficient but also economically feasible.

A Conical Beam Finite Element for Rotor Dynamics Analysis

1985 ◽  
Vol 107 (4) ◽  
pp. 421-430 ◽  
Author(s):  
L. M. Greenhill ◽  
W. B. Bickford ◽  
H. D. Nelson
Keyword(s):  
Finite Element ◽  
Closed Form ◽  
Cross Section ◽  
Rotor Dynamics ◽  
General Purpose ◽  
Closed Form Expression ◽  
Dynamics Analysis ◽  
Closed Form Solutions ◽  
Analysis Computer ◽  
Rotor Dynamic

The development of finite element formulations for use in rotor dynamics analysis has been the subject of many recent publications. These works have included the effects of rotatory inertia, gyroscopic moments, axial load, internal damping, and shear deformation. However, for most closed-form solutions, the element geometry has been limited to a cylindrical cross-section. This paper extends these previous works by developing a closed-form expression including all of the above effects in a linearly tapered conical cross-section element. Results are also given comparing the formulation to previously published examples, to stepped cylinder representations of conical geometry, and to a general purpose finite element elasticity solution. The elimination of numerical integration in the generation of the element matrices, and the ability of the element to represent both conical and cylindrical geometries, make this formulation particularly suited for use in rotor dynamic analysis computer programs.

scholarly journals Hierarchical Beam Finite Elements Based Upon a Variables Separation Method

2016 ◽  
Vol 08 (02) ◽  
pp. 1650026 ◽  
Author(s):  
Gaetano Giunta ◽  
Salim Belouettar ◽  
Olivier Polit ◽  
Laurent Gallimard ◽  
Philippe Vidal ◽  
...  
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Cross Section ◽  
Three Dimensional ◽  
Finite Element Solution ◽  
Stress Fields ◽  
Element Solution ◽  
One Dimensional ◽  
Kinematic Approximation ◽  
The Cross

A family of hierarchical one-dimensional beam finite elements developed within a variables separation framework is presented. A Proper Generalized Decomposition (PGD) is used to divide the global three-dimensional problem into two coupled ones: one defined on the cross-section space (beam modeling kinematic approximation) and one belonging to the axis space (finite element solution). The displacements over the cross-section are approximated via a Unified Formulation (UF). A Lagrangian approximation is used along the beam axis. The resulting problems size is smaller than that of the classical equivalent finite element solution. The approach is, then, particularly attractive for higher-order beam models and refined axial meshes. The numerical investigations show that the proposed method yields accurate yet computationally affordable three-dimensional displacement and stress fields solutions.

Algebraic Dimensional Reduction for Microfluidic Simulation

2009 ◽  
Vol 9 (3) ◽  
Author(s):  
Josh Danczyk ◽  
Krishnan Suresh
Keyword(s):  
Finite Element ◽  
Analytical Solutions ◽  
Computer Aided Design ◽  
Cross Flow ◽  
Reduction Process ◽  
Microfluidic Devices ◽  
Brute Force ◽  
Weighted Residuals ◽  
Computer Aided ◽  
The Cross

Microfluidic devices exhibit a high-aspect ratio in that their channel-widths are much smaller than their overall lengths. High-aspect geometry leads to an unduly large finite element mesh, making the (otherwise popular) finite element method (FEM) a poor choice for modeling microfluidic devices. An alternate computational strategy is to exploit well-known analytical solutions for fluid flow over the narrow channels of a device, and then either (a) assume the same analytical solutions for the cross-flow regions, or (b) exploit these solutions to set-up artificial boundary conditions over the cross-flow regions. Such simplified models are computationally far superior to brute-force FEM, but do not support the generality or flexibility of FEM. In this paper, we propose a third strategy for exploiting the analytical solutions: (c) directly incorporate them into standard FE-based analysis via algebraic reduction techniques. The advantages of the proposed strategy are (1) designers can use standard computer-aided design/computer-aided engineering (CAD/CAE) environments to model, analyze, and postprocess microfluidic simulation; (2) well-established dual-weighted residuals can be used to estimate modeling errors; and (3), if desired, one can eliminate the dependency on analytical solutions over selected regions, and instead revert to brute-force FEM. The simplicity and generality of the proposed method is inherited from the model reduction process, so are its theoretical properties, while simultaneously its computational efficiency is inherited from the use of analytical solutions.

scholarly journals Challenges Faced While Designing Body in White

2021 ◽  
Vol 9 (9) ◽  
pp. 49-56
Author(s):  
Aditya Dhobale
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Cross Section ◽  
Cross Sections ◽  
Element Analysis ◽  
Computer Aided ◽  
Safety Parameters ◽  
Body In White ◽  
White Sheet ◽  
Metal Design

Abstract: Construction of Body in White (BiW) revolves around plenty of challenges. Ranging from BiW fixtures to curbing weight of Body in White sheet metal design. This paper discusses about all the design aspects in BiW manufacturing in automobile and confronting challenges that occurs. At present, lots of existing theories are being applied and efforts to improve the same are being made. This paper provides a path on how components can be developed and make necessary improvements. CAE (Computer Aided Engineering) tools have been used for FEA (Finite Element Analysis) and also an example of stress analysis of automotive chassis is given. An outcome depending on behaviour of loads acting on frame is drawn. The importance of hollow tubes, tubes of different- cross sections to counter weight and ease the designing of BiW frame have been proposed. This paper also provides insight on safety parameters with current construction of tubular frame chassis. Other solutions such as hybrid tubes, foam padding and plastic trim have been pointed out in this paper. Keywords: CAE, FEA, manufacturing, loads, tubes, cycle-time, cross-section.

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