Surface evenness control of laser solid formed thin-walled parts based on the mathematical model of the single cladding layer thickness

2019 ◽  
Vol 31 (2) ◽  
pp. 022009 ◽  
Author(s):  
Jun-Hua Wang ◽  
Fu-Zhu Han ◽  
Wei-Sheng Ying
Keyword(s):  
Mathematical Model ◽  
Layer Thickness ◽  
Cladding Layer ◽  
Thin Walled ◽  
The Mathematical Model

Mathematical Model of Ti-6Al-4V Single Track Formed by Selective Laser Melting

2012 ◽  
Vol 602-604 ◽  
pp. 2074-2077 ◽  
Author(s):  
Jian Feng Sun ◽  
Yong Qiang Yang ◽  
Jie Liu ◽  
Di Wang
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Fourier Series ◽  
Layer Thickness ◽  
Selective Laser Melting ◽  
Single Track ◽  
Laser Melting ◽  
Functional Relationships ◽  
The Mathematical Model

The single track is the basis of the multi-track overlapping and multi-layer molding in the accumulative manufacturing, and its quality determines the quality of the parts after their being manufactured. The single track experiment on Ti-6Al-4V powders has used Matlab software to fit the experimental data so as to establish the mathematical model. As a result, the experiment has revealed the functional relationships among the width, layer thickness, and power/speed of Ti-6Al-4V selective laser melting single track; and its relationships between its width and layer thickness, width and power/speed, with the period T1=0.0753，T2=0.0542 respectively, satisfy the Fourier series.

Buckling Problems of Structurally-Anisotropic Composite Panels of Aircraft with Influence of Production Technology

2019 ◽  
Vol 971 ◽  
pp. 45-50 ◽  
Author(s):  
Lubov' Mikhailovna Gavva
Keyword(s):  
Mathematical Model ◽  
Composite Materials ◽  
Stressed State ◽  
Computer Program ◽  
Trigonometric Series ◽  
Production Technology ◽  
Critical Force ◽  
Thin Walled ◽  
Definition Of ◽  
The Mathematical Model

The different approaches were analyzed to investigate the buckling problems of structurally-anisotropic panels made from composite materials. Aircraft composite structure design in the field of production technology is the outlook research trend. New mathematical model relations for the buckling investigation of structurally-anisotropic panels comprising composite materials are presented in this study. The primary scientific novelty of this research is the further development of the theory of thin-walled elastic ribs related to the contact problem for the skin and the rib with an improved rib model. One considers the residual thermal stresses and the preliminary tension of the reinforcing fibers with respect to panel production technology. The mathematical model relations for the pre-critical stressed state investigation of structurally-anisotropic panels made of composite materials are presented. Furthermore, the mathematical model relations for the buckling problem investigation of structurally-anisotropic panels made of composite materials are presented in view of the pre-critical stressed state. The critical force definition of the general bending form of the thin-walled system buckling and the critical force definition of the many-waved torsion buckling are of the most interest in accordance with traditional design practices. In both cases, bending is integral with the plane stress state. Thus, the buckling problem results in the boundary value problem when solving for the eighth order partial derivative equation in the rectangular field. The schematization of the panel as structurally-anisotropic has been proposed as a design model when and the critical forces of total bending form of buckling are determined. For a many-waved torsion buckling study, one should use the generalized functions set. The solution is designed by a double trigonometric series and by unitary trigonometric series. A computer program package is developed using the MATLAB operating environment. The computer program package has been utilized for multi-criteria optimization of the design of structurally-anisotropic aircraft composite panels. The influence of the structure parameters on the level of critical buckling forces for bending and for torsion modes has been analyzed. The results of testing series are presented.

scholarly journals Evaluación de la cinética de crecimiento de las capas boruradas formadas sobre la superficie de un acero AISI 4150 endurecido a través del proceso borurización base polvo

2019 ◽  
Vol 6 (11) ◽  
pp. 9-21
Author(s):  
Martín Ortiz-Domínguez ◽  
Arturo Cruz-Avilés ◽  
Irving Morgado-González ◽  
Jorge Zuno-Silva ◽  
Miguel Á. Flores-Rentería ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Optical Microscopy ◽  
Layer Thickness ◽  
Diffraction Method ◽  
Boride Layer ◽  
X Ray Diffraction ◽  
X Ray ◽  
Fe2b Phase ◽  
Thickness Measurements ◽  
The Mathematical Model

En el presente estudio se evalúa la cinética de difusión del boro en un acero AISI 4150 durante el proceso de borurización base polvo. Esta técnica de endurecimiento superficial produce en el material la formación de una fase característica, Fe2B. The morphology of Fe2B layers was observed by Optical Microscopy. Metallographic studies showed that the boride layer has a saw-tooth morphology in all the samples. The layer thickness measurements were done with the help of MSQ PLUS software. The Fe2B phase was identified by X-ray diffraction method. Finally, the mathematical model was validated.

scholarly journals Optimization of the anode shape for the electroplating coating on long thin-walled detail taking into account the ohmic potential drop

2020 ◽  
Vol 329 ◽  
pp. 03056
Author(s):  
Inna Solovjeva ◽  
Denis Solovjev ◽  
Viktoriya Konkina ◽  
Yuri Litovka
Keyword(s):  
Mathematical Model ◽  
Potential Drop ◽  
Alkaline Electrolyte ◽  
Ohmic Potential Drop ◽  
Thin Walled ◽  
Electroplating Process ◽  
The Mathematical Model

The article discusses the problem of optimizing the anode shape to reduce the non-uniformity of the electroplating coating for a long thin- walled detail. An increase in the non-uniformity of the coating due to the ohmic potential drop in the electrodes body is characteristic of such details. The problem of optimizing the anode shape is formulated to minimize the non-uniformity of the electroplating coating. The mathematical model of the electroplating process has been developed, which takes into account the ohmic potential drop in the electrodes body. The problem of optimizing the anode shape is solved by the example of zinc electroplating process in an alkaline electrolyte, taking into account the ohmic potential drop in the electrodes body and without it.

DETERMINATION OF PERFORMANCE INDICATORS OF THE TRUCK KrAZ-6510TE

2020 ◽  
pp. 19-26
Author(s):  
Olexandr Pavlenko ◽  
Serhii Dun ◽  
Maksym Skliar
Keyword(s):  
Mathematical Model ◽  
Surface Friction ◽  
Building Structures ◽  
Maximum Torque ◽  
Military Equipment ◽  
Military Vehicles ◽  
Force Magnitude ◽  
Vehicle Mobility ◽  
The Mathematical Model

In any economy there is a need for the bulky goods transportation which cannot be divided into smaller parts. Such cargoes include building structures, elements of industrial equipment, tracked or wheeled construction and agricultural machinery, heavy armored military vehicles. In any case, tractor-semitrailer should provide fast delivery of goods with minimal fuel consumption. In order to guarantee the goods delivery, tractor-semitrailers must be able to overcome the existing roads broken grade and be capable to tow a semi-trailer in off-road conditions. These properties are especially important for military equipment transportation. The important factor that determines a tractor-semitrailer mobility is its gradeability. The purpose of this work is to improve a tractor-semitrailer mobility with tractor units manufactured at PJSC “AutoKrAZ” by increasing the tractor-semitrailer gradeability. The customer requirements for a new tractor are determined by the maximizing the grade to 18°. The analysis of the characteristics of modern tractor-semitrailers for heavy haulage has shown that the highest rate of this grade is 16.7°. The factors determining the limiting gradeability value were analyzed, based on the tractor-semitrailer with a KrAZ-6510TE tractor and a semi-trailer with a full weight of 80 t. It has been developed a mathematical model to investigate the tractor and semi-trailer axles vertical reactions distribution on the tractor-semitrailer friction performances. The mathematical model has allowed to calculate the gradeability value that the tractor-semitrailer can overcome in case of wheels and road surface friction value and the tractive force magnitude from the engine. The mathematical model adequacy was confirmed by comparing the calculations results with the data of factory tests. The analysis showed that on a dry road the KrAZ-6510TE tractor with a 80 t gross weight semitrailer is capable to climb a gradient of 14,35 ° with its coupling mass full use condition. The engine's maximum torque allows the tractor-semitrailer to overcome a gradient of 10.45° It has been determined the ways to improve the design of the KrAZ-6510TE tractor to increase its gradeability. Keywords: tractor, tractor-semitrailer vehicle mobility, tractor-semitrailer vehicle gradeability.

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

RESEARCH OF INDICATORS OF A VEHICLE WITH A DIESEL WORKING ON DIESEL AND DIESEL GAS CYCLES USING THE MATHEMATICAL MODEL

2020 ◽  
pp. 14-19
Author(s):  
Serhii Kovbasenko ◽  
Andriy Holyk ◽  
Serhii Hutarevych
Keyword(s):  
Mathematical Model ◽  
Diesel Engine ◽  
Environmental Performance ◽  
Energy Performance ◽  
Dual Fuel ◽  
Fuel System ◽  
Compressed Natural Gas ◽  
Diesel Vehicles ◽  
Diesel Cycle ◽  
The Mathematical Model

The features of an advanced mathematical model of motion of a truck with a diesel engine operating on the diesel and diesel gas cycles are presented in the article. As a result of calculations using the mathematical model, a decrease in total mass emissions as a result of carbon monoxide emissions is observed due to a decrease in emissions of nitrogen oxides and emissions of soot in the diesel gas cycle compared to the diesel cycle. The mathematical model of a motion of a truck on a city driving cycle according to GOST 20306-90 allows to study the fuel-economic, environmental and energy indicators of a diesel and diesel gas vehicle. The results of the calculations on the mathematical model will make it possible to conclude on the feasibility of converting diesel vehicles to using compressed natural gas. Object of the study – the fuel-economic, environmental and energy performance diesel engine that runs on dual fuel system using CNG. Purpose of the study – study of changes in fuel, economic, environmental and energy performance of vehicles with diesel engines operating on diesel and diesel gas cycles, according to urban driving cycle modes. Method of the study – calculations on a mathematical model and comparison of results with road tests. Bench and road tests, results of calculations on the mathematical model of motion of a truck with diesel, working on diesel and diesel gas cycles, show the improvement of environmental performance of diesel vehicles during the converting to compressed natural gas in operation. Improvement of environmental performance is obtained mainly through the reduction of soot emissions and nitrogen oxides emissions from diesel gas cycle operations compared to diesel cycle operations. The results of the article can be used to further develop dual fuel system using CNG. Keywords: diesel engine, diesel gas engine, CNG

Glycemia monitoring

1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra
Keyword(s):  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Differential Equations ◽  
Blood Sugar ◽  
Self Regulation ◽  
Physiological System ◽  
Non Linear ◽  
The Mathematical Model

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.

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