A Mathematical Model Used in Conjunction With a Finite Element Analysis to Aid in the Design and Analysis of Bourdon Tubes

1982 ◽  
Vol 104 (3) ◽  
pp. 540-543 ◽  
Author(s):  
R. C. Weber ◽  
R. L. Davis
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Computer Program ◽  
Three Dimensional ◽  
Published Data ◽  
Element Analysis ◽  
Finite Element Program ◽  
Element Program ◽  
The Mathematical Model

A mathematical model that describes a variety of Bourdon tube geometries has been used for the three-dimensional analysis of Bourdon tubes. The variation of the stresses and tip deflections with respect to the variables used in the mathematical model are then presented as an aid in the design and analysis of the Bourdon tube. The finite element program represents a user-orientated package for calculation of tip deflections and stresses. Stresses and deflections are compared to both strain gage data and instrumented tip deflections as well as published data to establish the credibility of both the model and computer program.

Plastic Deformation Theory Application in Finite Element Analysis

2012 ◽  
Vol 594-597 ◽  
pp. 2723-2726
Author(s):  
Wen Shan Lin
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Deformation Theory ◽  
Three Dimensional ◽  
Constitutive Laws ◽  
Constitutive Law ◽  
Element Analysis ◽  
Finite Element Program ◽  
Theory Of Plasticity ◽  
Element Program

In the present study, the constitutive law of the deformation theory of plasticity has been derived. And that develop the two-dimensional and three-dimensional finite element program. The results of finite element and analytic of plasticity are compared to verify the derived the constitutive law of the deformation theory and the FEM program. At plastic stage, the constitutive laws of the deformation theory can be expressed as the linear elastic constitutive laws. But, it must be modified by iteration of the secant modulus and the effective Poisson’s ratio. Make it easier to develop finite element program. Finite element solution and analytic solution of plasticity theory comparison show the answers are the same. It shows the derivation of the constitutive law of the deformation theory of plasticity and finite element analysis program is the accuracy.

Three-dimensional finite element analysis for temperature filed of composite materials during the cure

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Zhangxin Guo ◽  
Zhiqiang Yu ◽  
Shiyi Wei ◽  
Guoliang Qi ◽  
Yongcun Li ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Composite Structures ◽  
Three Dimensional ◽  
Arbitrary Geometry ◽  
Element Analysis ◽  
Finite Element Program ◽  
Content Type ◽  
Dimensional Finite Element ◽  
Element Program

PurposeThe cure simulation of composite structures with arbitrary geometry can be investigated by the finite element program.Design/methodology/approachFinite element method is employed in this work.FindingsThe simulated results match the experimental results well, which demonstrates the finite element analysis models are reliable. Compared with the one- and two-dimensional finite element analysis, temperature and degree of cure can be calculated at any point within composite structures in the present simulation analysis. The cure simulation of composite structures with arbitrary geometry can be investigated by the finite element program.Originality/valueA coupled thermokinetic simulation of the liquid composite molding process based on a three-dimensional finite element method is presented. The cure simulation of composite structures with arbitrary geometry can be investigated by the finite element program.

The Research on Three-Dimensional Model of Non-Circular Gear

2012 ◽  
Vol 479-481 ◽  
pp. 953-956
Author(s):  
Guo Xing Sun ◽  
Chuan Qiong Sun ◽  
Qiang Liu
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Gear Tooth ◽  
Three Dimensional ◽  
Tooth Profile ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Element Analysis ◽  
The Mathematical Model

According to the principles of engagement and the mathematical model of non-circular gear tooth profile, the tooth profile of non-circular gear is draw. Then the three-dimensional model of the non-circular gear is created in Pro/E three-dimensional software to provide the basis for a non-circular gear motion analysis, dynamic analysis and finite element analysis.

A Nonlinear and Time Dependent Finite Element Analysis of Solder Joints in Surface Mounted Components Under Thermal Cycling

1991 ◽  
Vol 226 ◽  
Author(s):  
Yi-Hsin Pao ◽  
Kuan-Luen Chen ◽  
An-Yu Kuo
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Thermal Cycling ◽  
Solder Joints ◽  
Free Edge ◽  
Time Dependent ◽  
Element Analysis ◽  
Finite Element Program ◽  
Element Program ◽  
Peel Stress

AbstractA nonlinear and time dependent finite element analysis was performed on two surface mounted electronic devices subjected to thermal cycling. Constitutive equations accounting for both plasticity and creep for 37Pb/63Sn and 90Pb/10Sn solders were assumed and implemented in a finite element program ABAQUS with the aid of a user subroutine. The FE results of 37Pb/63Sn solder joints were in reasonably good agreement with the experimental data by Hall [19]. In the case of 9OPb/1OSn solder in a multilayered transistor stack, the FE results showed the existence of strong peel stress near the free edge of the joint, in addition to the anticipated shear stress. The effect of such peel stress on the crack initiation and growth as a result of thermal cycling was discussed, together with the singular behavior of both shear and peel stresses near the free edge.

Buckling and layer failure of composite laminated cylinders subjected to hydrostatic pressure

2017 ◽  
Vol 24 (3) ◽  
pp. 415-422 ◽  
Author(s):  
Ke Chun Shen ◽  
Guang Pan ◽  
JiangFeng Lu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Hydrostatic Pressure ◽  
Failure Criteria ◽  
Underwater Vehicle ◽  
Element Analysis ◽  
Finite Element Program ◽  
Failure Characteristics ◽  
Element Program ◽  
Critical Buckling Pressure

AbstractThe buckling and layer failure characteristics of composite laminated cylinders subjected to hydrostatic pressure were investigated through finite element analysis for underwater vehicle application. The Tsai-Wu failure criteria were used as the failure criteria for the buckling analysis. A sensitivity analysis was conducted to research the influence of the number of elements on the critical buckling pressure. ANSYS, a finite element program, successfully predicted the buckling pressure with 5.3–27.8% (linear) and 0.3–22.5% (nonlinear) deviation from experimental results. The analysis results showed that the cylinders can carry more pressure after a slight decrease in pressure and recovery of the supporting load. For layer failure analysis, it was found that the failure that occurred in the 0° layer was more serious than that in the 90° layer within the neighboring layers at the inner layers (nos. 1–7) and outer layers (nos. 8–24).

scholarly journals Isotropic Modeling of a Composite Panel of the Stern of a Fiberglass Boat Propelled by an Outboard Motor

2014 ◽  
Vol 7 (14) ◽  
pp. 9
Author(s):  
Patrick Townsend Valencia
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Mathematical Formulation ◽  
Composite Panel ◽  
Finite Element Program ◽  
Element Program ◽  
Material Conditions ◽  
Sandwich Materials ◽  
The Mathematical Model ◽  
Best Fit

We performed a theoretical and experimental study to define the best way to model the finite element sandwich structure aft of a fiberglass boat less than 15 meters in length, using an isotropic linear mathematical model that fits anisotropic material conditions. This is done by defining the properties of the ship’s fiberglass resin structure, which is representative of the influence of the forces acting during the glide on the geometry of the entire vessel. Formulation of the Finite Elements Method is presented, which works on the mathematical model to define the limitations of the results obtained. Isotropic material adjustment is calculated using Halpin-Tsai laws, developing its mathematical formulation for restrictions of modulus data entered as the finite element program experimentally calculated for each of the sandwich materials. The best-fit mathematical presentation to the modulus of the composite tool justifies the calculation thereof. 

scholarly journals Finite Element Analysis of Beams Reinforced with Banana Fiber Bars (BFB)

Fibers ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 52 ◽  
Author(s):  
Amgad Elbehiry ◽  
Marwan Mostafa
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Building Materials ◽  
Natural Fibers ◽  
Construction Materials ◽  
Element Analysis ◽  
Banana Fiber ◽  
Finite Element Program ◽  
Element Program

One of the challenges of the century is to reach compatibility between the required resistance and the usage of lightweight building materials that may negatively affect the mechanical properties. Natural fibers nowadays are used as enhancers in the industrial field. Hence, the fibers contribute by giving an ideal solution to improve mechanical proprieties of the structural elements such as tensile and impact strength. In previous studies, the use of natural fibers as reinforcement in construction materials has increased. Natural fibers have a lot of characteristics such as being strong, lightweight, inexpensive, and eco-friendly. This paper aims to investigate the performance of banana fiber bars (BFB) as reinforced material. Through this study, the development and characterization of natural fibers-based composite beams were observed. After the beams were designed, several types of finite element analysis were conducted using ‘ANSYS’ nonlinear finite element program under one-point loading. Results show good correlations between experimental and predicted results.

An Efficient Approach for the Three-Dimensional Finite Element Analysis of Tires

1988 ◽  
Vol 16 (4) ◽  
pp. 249-273 ◽  
Author(s):  
J. P. Chang ◽  
K. Satyamurthy ◽  
N. T. Tseng
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Initial Conditions ◽  
Three Dimensional ◽  
Element Analysis ◽  
Finite Element Program ◽  
Automobile Tire ◽  
Cpu Time ◽  
Parametric Studies ◽  
Time Required

Abstract The finite element analysis of tires under a vertical footprint load requires the use of three-dimensional models. The excessive CPU time required for such models, especially when the tire construction is considered in detail, makes parametric studies difficult and time-consuming. Therefore, one of the principal objectives of finite element program development is to provide an efficient tool for the three-dimensional analysis of tires so that it can be integrated into the design process effectively. In the present study, a systematic finite element procedure is developed for solving loaded tire problems. The principal elements of this procedure are an efficient pre-processor for input generation, a multipoint constraint option to allow the user to exploit any existing symmetry in the problem, and a procedure for generating initial conditions from axisymmetric analyses. This procedure can be used to conduct parametric studies on loaded tires by using a rather coarse mesh and large load steps, thus leading to a significant reduction in CPU time, with a minimum sacrifice in solution accuracy. The efficiency of this procedure is illustrated with the analysis of a radial automobile tire.

Finite Element Analysis of Synchronous Belt Tooth Failure

1993 ◽  
Vol 207 (2) ◽  
pp. 145-153 ◽  
Author(s):  
K W Dalgarno ◽  
A J Day ◽  
T H C Childs
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Material Model ◽  
Element Model ◽  
Element Analysis ◽  
Finite Element Program ◽  
Interface Elements ◽  
Dimensional Finite Element ◽  
Element Program ◽  
Critical Strains

This paper describes a finite element analysis of a synchronous belt tooth under operational loads and conditions with the objective of obtaining a greater understanding of belt failure by tooth root cracking through an examination of the strains within the facing fabric in the belt. The analysis used the ABAQUS finite element program, and was based on a two-dimensional finite element model incorporating a hyperelastic material model for the elastomer compound. Contact between the belt tooth face and the pulley groove was modelled using surface interface elements which allowed only compression and shear forces at the contact surfaces. It is concluded that the critical strains in the facing fabric of the belt, and therefore the belt life, are largely determined by the tangential loading condition on the belt teeth.

The Finite Element Analysis and Structure Optimizing of the 42MN Flatting Mill’s Higher Beam

2010 ◽  
Vol 145 ◽  
pp. 317-320
Author(s):  
Chun Ming Zhang ◽  
Run Yuan Hao
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Structural Design ◽  
Structural Parameters ◽  
Element Model ◽  
Optimum Structure ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
The Mathematical Model

This text is on the basis of the investigation of the 42MN flatting mill’s higher beam, establishing the flatting mill’s higher beam’s finite element model and the mathematical model which has optimum structure. According to the results of their structure finite element analysis, weaved the relevant procedures and optimized them, obtained ideal structural parameters, this text provide better ideas and ways for the structural design of the flatting mill’s higher beam.

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