Mathematical Model of the Sintering Process of Iron-Copper Bearings

2007 ◽  
Vol 23 ◽  
pp. 119-122
Author(s):  
Cristina Teișanu ◽  
Stefan Gheorghe ◽  
Ion Ciupitu
Keyword(s):  
Experimental Data ◽  
Mechanical Properties ◽  
Mathematical Model ◽  
Regression Analysis ◽  
Function Optimization ◽  
Chemical Compositions ◽  
Sintering Process ◽  
Molybdenum Disulphide ◽  
Iron Copper ◽  
Antifriction Properties

The most important features of the self-lubricating bearings are the antifriction properties such as friction coefficient and wear resistence and some mechanical properties such as hardness, tensile strength and radial crushing strength. In order to improve these properties new antifriction materials based on iron-copper powders with several additional components (tin, lead and molybdenum disulphide) have been developed by PM techniques. To find the optimal relationship between chemical compositions, antifriction and mechanical properties, in this paper a mathematical model of the sintering process is developed, which highlighted the accordance of the model with data by regression analysis. For the statistical processing of the experimental data the VH5 hardness values of the studied materials were considered. The development of mathematical model includes the enunciation of the model, the establishment of the performance function (optimization) and the establishment of the model equations and verifying. The accordance of the model with experimental data has been highlighted by regression analysis

Corner Reproduction Accuracy in Electro-Chemical Drilling (ECD) of Blind Holes

1984 ◽  
Vol 106 (1) ◽  
pp. 55-61 ◽  
Author(s):  
V. K. Jain ◽  
Vinod Kumar Jain ◽  
P. C. Pandey
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Regression Analysis ◽  
Dimensional Analysis ◽  
Analysis Of Variance ◽  
Process Parameters ◽  
Important Process ◽  
Electrochemical Drilling ◽  
Experimental Findings ◽  
Shape And Size

Little information is available about the corner shape and size produced in electrochemical drilling of blind holes. On this account prediction of the complete anode shape analytically, in ECD, is not possible. This paper reports the experimental findings regarding the shape and size of the corners copied, in the anode during electrochemical drilling of blind holes using a tool of specified geometry. An equation evolved by regression analysis of experimental data has been suggested for this purpose. With a view to improve results, an equation based on dimensional analysis has also been presented. Finally, a comprehensive mathematical model accounting for the independent, higher order, and the interaction effects of different important process parameters on the yield (anode radius) has been proposed and its adequacy has been tested by the analysis of variance and accuracy against experimental data.

Research on the Zero Drift of Sensor Based on Data Fusion Technology

2012 ◽  
Vol 546-547 ◽  
pp. 696-701
Author(s):  
Xiao Ming Li ◽  
Zhi Shu Feng ◽  
Zhong Chun Cai ◽  
Bin Xie ◽  
Chang Jie Liu
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Regression Analysis ◽  
Data Fusion ◽  
Zero Drift ◽  
Two Dimensional ◽  
Fusion Technology ◽  
Input Output ◽  
Influence Of Temperature ◽  
Fusion Methods

The zero drift of sensor and its solution are presented in this paper. The basic principle of data fusion with two-dimensional regression analysis is expounded and the experimental data of any pressure sensor are fused with the two-dimensional regression analysis. Besides, the input-output mathematical model of sensor under the influence of temperature is established. At last, the linear, fitting and fusion methods are compared.

Short Fiber Reinforcement of Elastomers

1974 ◽  
Vol 47 (5) ◽  
pp. 1074-1081 ◽  
Author(s):  
S. R. Moghe
Keyword(s):  
Experimental Data ◽  
Mechanical Properties ◽  
Mathematical Model ◽  
Fiber Orientation ◽  
Probability Distribution Function ◽  
Tensile Modulus ◽  
Short Fiber ◽  
Simple Mathematical Model ◽  
Short Fibers ◽  
Rubber Compounds

Abstract Based upon a simple mathematical model, the directional properties of elastomers mixed with uniaxially oriented short fibers are predicted. The model takes into account a probability distribution function for a number of fibers in any direction during fiber orientation. Theory is compared with experimental data on tensile modulus for a number of rubber compounds and fibers with good success. A possibility of characterizing calendering and extrusion processes in view of orientation and mechanical properties is discussed.

scholarly journals Port-Hamiltonian Mathematical Model of a Fluid Ring Attitude System

Energies ◽  
2021 ◽  
Vol 14 (21) ◽  
pp. 6906
Author(s):  
Juan Cristobal Alcaraz Alcaraz Tapia ◽  
Carlos E. Castañeda ◽  
Héctor Vargas-Rodríguez
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Regression Analysis ◽  
Linear Regression ◽  
Turbulent Flows ◽  
Linear Regression Analysis ◽  
Hamiltonian Formalism ◽  
System Model ◽  
Energy Shaping ◽  
Spatial Environment

In this article, we propose a mathematical model using the port-Hamiltonian formalism for a satellite’s three-axis attitude system comprising fluid rings. Fluid rings are an alternative to reaction wheels used for the same purpose, since, for the same mass, they can exert a greater torque than a reaction wheel as the fluid can circulate the periphery of the satellite. The port-Hamiltonian representation lays the foundation for a posterior controller that is feasible, stable, and robust based on the interconnection of the system to energy shaping and/or damping injection components, and by adding energy routing controllers. The torques exerted by the fluid rings are modeled using linear regression analysis on the experimental data got from a prototype of a fluid ring. Since the dynamics of turbulent flows is complex, the torques obtained by the prototype lead to a simpler first approach, leaving its uncertainties to a controller. Thus, the attitude system model could be tested in a future prototype before considering a spatial environment.

Influence of the Sheet Metal Anisotropy on Polythickness of the Skin after Stretch Forming

2017 ◽  
Vol 743 ◽  
pp. 207-211 ◽  
Author(s):  
Sergey Surudin ◽  
Yaroslav Erisov ◽  
Dmitrij Chernikov
Keyword(s):  
Mechanical Properties ◽  
Mathematical Model ◽  
Computer Simulation ◽  
Regression Analysis ◽  
Yield Strength ◽  
Software Package ◽  
Uniform Elongation ◽  
Optimal Combination ◽  
Stretch Forming ◽  
Forming Process

Computer simulation of the stretch forming process of the with different anisotropy of properties in the software package PAM-STAMP 2G was implemented in the work. The design of the multivariate experiment was made to analyze the effect of the anisotropy of the mechanical properties over the final polythickness of the skin after stretch forming. The regression analysis of the results was implemented after simulation, besides a mathematical model of polythickness dependence on the anisotropy of the properties was formulated. The optimal combination of Lankford coefficients, ultimate strength, yield strength and uniform elongation that minimizes polythickness of the finished skin was established.

FORCED WAVES PROPAGATION IN GREAT LIVING ARTERIES TISSUES

2018 ◽  
Vol 18 (03) ◽  
pp. 1850032
Author(s):  
ISABELLA BARBIERI ◽  
EZIO CAROLI ◽  
GIOVANNI PALLOTTI
Keyword(s):  
Experimental Data ◽  
Mechanical Properties ◽  
Mathematical Model ◽  
Theoretical Model ◽  
Acoustic Waves ◽  
Wave Motion ◽  
Waves Propagation ◽  
Motion Parameters ◽  
Forced Waves ◽  
Axial Waves

Starting from experimental data, this work exploit the similarity of pressure and axial wave’s propagation of both pressure and axial waves in large vessel (e.g., aorta) with the solution of a mathematical model developed to describe the motion of acoustic waves in solid. In particular, we show how the motion parameters derived by fitting the experimental data measured in living dog arteries are related to mechanical properties of the vessel tissue using the same theoretical model. Furthermore, we briefly discuss the consequence on the predicted forced wave motion of inferring from experimental data a phase velocity depending from frequency.

Use of Nonferrous Metallurgy Waste: Clayey Portion of the Zircon-Ilmenite Ore Gravity Tailings and Pyrite Cinders in Tile-Making

2020 ◽  
Vol 989 ◽  
pp. 47-53
Author(s):  
A.K. Kairakbaev ◽  
Ye. S. Abdrakhimova ◽  
V.Z. Abdrakhimov
Keyword(s):  
Experimental Data ◽  
Mechanical Properties ◽  
Mathematical Model ◽  
Linear Regression ◽  
Product Quality ◽  
Nonferrous Metallurgy ◽  
Combined Effects ◽  
Ceramic Mixture ◽  
The Common ◽  
Pyrite Cinders

Studies have shown that using nonferrous metallurgy waste in the ceramic mixture for the making of roof tiles improves the final product quality; one can use the clayey portion of the zircon-ilmenite ore gravity tailings as the clay, pyrite cinders as leaners and sintering intensifier, and wollastonite as an agent to reduce shrinkage and prevent deformation-related buckling. The common method of linear regression was used to study the dependency of the basic physico-mechanical properties of tiles on how much clay from the zircon-ilmenite ore gravity tailings, pyrite cinders, and wollastonite is used in manufacture. The resultant mathematical model takes into account the combined effects these components have on the physico-mechanical properties of tiles; it matches well the experimental data.

scholarly journals CONSTRUCTION OF MATHEMATICAL MODELS USING THE METHODS OF CORRELATION AND REGRESSION ANALYSIS

2021 ◽  
pp. 29-36
Author(s):  
Olga Prishchenko ◽  
Nadezhda Cheremskaya ◽  
Tetyana Chernogor
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Regression Analysis ◽  
Functional Relationship ◽  
Functional Dependence ◽  
Mathematical Expression ◽  
Regression Equation ◽  
Statistical Hypothesis ◽  
Correlation And Regression Analysis ◽  
The Relationship

The article discusses the construction of a mathematical model using the methods of correlation and regression analysis in determining the functional relationship between the quantities. When conducting an experiment, it is often necessary to establish the interdependence between two or more quantities in order to obtain an empirical formula. In some cases, this is a simple task, because these connections are almost obvious or known in advance. As a rule, to establish the relationship between different indicators, factors and characteristics is not a trivial task. There is a need to use some hypothesis in the form of functional dependence. In other words, it is necessary to replace this functional dependence with a fairly simple mathematical expression. Such a mathematical expression can be a linear equation or a polynomial. In order to use such experimental data to determine such a mathematical or functional relationship between variables, the methods of correlation and regression analysis are used. Correlation analysis provides an answer to the statistical hypothesis of the absence or presence of a relationship between variables with some predetermined confidence probability. Determination of the functional dependence between different values on their experimental values is carried out using regression analysis. It is based on the well-known method of least squares. Proposing one or another regression equation, the researcher determines both the very existence of the relationship between variables and its mathematical form. Regression analysis considers the relationship between the dependent quantity and non-dependent variables. This relationship is represented using a mathematical model, that is, an equation that connects the dependent and independent variables. Processing of experimental data using correlation and regression analysis allows us to build a statistical mathematical model in the form of a regression equation. Thus, the methods of correlation and regression analysis are closely related.

Fabrication and Mechanical Properties of ultra fine WC-6wt.%Co by Spark Plasma Sintering Process

2011 ◽  
Vol 49 (01) ◽  
pp. 40-45 ◽  
Author(s):  
Hyun-Kuk Park ◽  
Seung-Min Lee ◽  
Hee-Jun Youn ◽  
Ki-Sang Bang ◽  
Ik-Hyun Oh
Keyword(s):  
Mechanical Properties ◽  
Spark Plasma Sintering ◽  
Sintering Process ◽  
Plasma Sintering ◽  
Spark Plasma
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