scholarly journals Mathematical Model for Manual Loading Activity in Underground mines

2014 ◽  
pp. 134-141
Author(s):  
V. Vidyasagar ◽  
Dr. P. N. Belkhode ◽  
Dr. J.P. Modak
Keyword(s):  
Mathematical Model ◽  
Present Method ◽  
Underground Mines ◽  
Environmental Aspects ◽  
Anthropometric Data ◽  
Work Station ◽  
Human Energy ◽  
Time Required ◽  
Air Circulation ◽  
The Mathematical Model

The paper details the approach to improve the productivity and conserving human energy in Manual loading activity. Manual loading is one of the primary activities and consumes a good amount of time for the mining crew in the underground mines. With formulation of the mathematical model, improvements in the present method of Manual loading which can conserve human energy besides increasing the productivity and reducing the time required. This mathematical model predicts the optimization of Manual loading activity. Some of the variables used to formulate this model are (1) Environment of working area, which include the ergonomic aspects; i.e. various postures of the worker, anthropometric data of the miners and environmental aspects such as illumination, ambient temperature, relative humidity and air circulation facility around the work station (2)Tools used by miner which include geometric dimensions of tools, (3) Loading of the Ore per unit time, human energy consumption etc., based on the data collected of these variables, mathematical model is formulated.

Analytical Study of Hydro-Pneumatic Processes for Gorlov's Power System

1994 ◽  
Vol 208 (1) ◽  
pp. 67-70
Author(s):  
A I Ryazanov
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Power System ◽  
Analytical Study ◽  
Model Tests ◽  
Air Pressure ◽  
Pneumatic Power ◽  
Time Required ◽  
The Mathematical Model

This paper describes the aerohydrodvnamics of processes in chambers of Gorlov's hydro-pneumatic power system. The mathematical model is developed to determine the main parameters of the processes: water and air velocities, air pressure in the chamber, the periods of time required to fill and empty the chambers and the output of energy during the cycle. The results obtained are in agreement with experimental data and model tests.

Modeling and Simulation of the Propagation Characteristics by Underground Current Field

2013 ◽  
Vol 385-386 ◽  
pp. 1568-1571
Author(s):  
Yi Dong Xu
Keyword(s):  
Mathematical Model ◽  
Signal Transmission ◽  
Signal Propagation ◽  
Underground Mines ◽  
Constant Current ◽  
Propagation Characteristics ◽  
Current Field ◽  
Channel Characteristics ◽  
Underground Communication ◽  
The Mathematical Model

It's one of the effective channels for short-distance wireless communications through stratum in underground mines on emergency communications. The geologic structure is complex in mines, in practical environments. It means there is a considerable difference in conductance property and channel characteristics. In order to realize effective communication through stratum, its necessary to explore and study underground signal transmission by establishing mathematical model of underground signal propagation characteristics based on the theory of constant current field and simulating the mathematical model with MATLAB. We established a simulation model of underground communication channel physics experiments and obtained the amplitude frequency characteristic of the channel, with which we can get the error comparison between theory and test.

A MODEL FOR THE TESTOSTERONE REGULATION TAKING INTO ACCOUNT THE PRESENCE OF TWO TYPES OF TESTOSTERONE HORMONES

2015 ◽  
Vol 23 (02) ◽  
pp. 259-273 ◽  
Author(s):  
T. TANUTPANIT ◽  
P. PONGSUMPUN ◽  
I. M. TANG
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Steady State ◽  
Luteinizing Hormone ◽  
Analytical Techniques ◽  
Sex Hormone Binding Globulin ◽  
Hormone Binding ◽  
Time Required ◽  
The Mathematical Model ◽  
Male Hormone

The purpose of this paper is to study the effect of sex hormone binding globulin (SHBG) on the mathematical model of the hypothalamic-pituitary-gonadal (HPG) endocrine cycle which regulates the production of the male hormone testosterone. Large amounts of total circulating testosterone are bound to SHBG making them. Standard analytical techniques are used to analyze the modified mathematical model which includes a delay to account for the time required for luteinizing hormone emitted by the pituitary gland to reach the testis, to determine the steady state, its stability and the critical delay needed for the bifurcation. Numerical simulation of the solutions of the model is performed to illustrate the possible behaviors.

scholarly journals Mathematical Modeling of Batch Enzymatic Starch Hydrolysis

2011 ◽  
Vol 68 (2) ◽  
Author(s):  
Edward MUNTEAN
Keyword(s):  
Mathematical Model ◽  
Glucose Concentration ◽  
Chemical Species ◽  
Enzyme Concentration ◽  
Starch Hydrolysis ◽  
Programming Algorithm ◽  
Proposed Model ◽  
Time Required ◽  
Menten Kinetic ◽  
The Mathematical Model

A mathematical model was developed for enzymatic starch hydrolysis, considering a Michaelis Menten kinetic approach. For defining and implementing the mathematical model, the following stages were accomplished: defining the considered chemical species, the chemistry of the reaction involved and the interactions between the reagents, defining the kinetic of each elementary reaction stage, establishing the initial values for the considered substances concentrations, writing the corresponding programming algorithm using Matlab 7.1. The proposed model consists in a set of ordinary differential equations, whose integration was made using the adaptable fourth order Runge-Kutta algorithm. The model was validated using an experimental lab-scale approach, monitoring the glucose concentration during starch hydrolysis. A good agreement between the experimental and predicted data were obtained in the first part of the process; near and within the saturation domain some shifts were recorded toward smaller glucose concentration than the predicted ones, a possible explanation being that the real enzyme de-activation is greater than the predicted one. The model can be utilized to establish the time required for a given conversion or the enzyme concentration for a given starch conversation, or as a tool for interactive learning in technicians’ training.

scholarly journals A Practical Approach to Numerically Predicting a Maneuvering Vessel in Waves Oriented to Maritime Simulator

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Shengke Ni ◽  
Zhengjiang Liu ◽  
Yao Cai ◽  
Teng Zhang
Keyword(s):  
Mathematical Model ◽  
Time History ◽  
Experimental Results ◽  
Periodic Change ◽  
Regular Waves ◽  
Pitch Motion ◽  
Irregular Frequency ◽  
History Of ◽  
Time Required ◽  
The Mathematical Model

To improve the behavioral realism of maritime simulator, the mathematical model of ship heave and pitch motion in regular waves is proposed. To avoid the influence of irregular frequency by two-dimensional Frank source and sink distribution method, the multiparameter conformal mapping method was adopted to solve the hydrodynamic problem of ship’s transverse sections, and then the integration of the hydrodynamic coefficients and the wave exciting forces for the whole ship hull was obtained using the Salvesen–Tuck–Faltinsen (STF) strip method. The Abkowitz model was used for the horizontal maneuverability motion equations, and the ship heave and pitch motion mathematical model in regular waves can be built considering the maneuvering factors. To verify the credibility and applicability of the improved model, the Mariner vessel with a Froude number of 0.2 was taken as the simulation case; when Mariner vessel sails in head waves, the maximum relative error between the calculated results and the experimental results is 23.6% for amplitude response operators of ship heave and pitch motion, and the calculated results and the experimental results have the same trend. When turning maneuvers in regular waves are carried out, the time history of ship pitch and pitch motions in regular waves does not show the sinusoidal periodic change any more, but the time history of heave and pitch motion still possesses periodic change to some extent, at which the period is about the time required for the turning motion to finish a circle. When turning maneuvers are carried out for 3000 seconds, the time required for computer operation is about 487.6 s, and the real-time requirements of maritime simulator are satisfied. Thus, the mathematical model of ship heave and pitch motion established in this paper can be effectively applied to the maritime simulator.

scholarly journals Designing an Agile Closed-Loop Supply Chain with Environmental Aspects Using a Novel Multiobjective Metaheuristic Algorithm

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Liu Kai ◽  
Ramina Malekalipour Kordestanizadeh
Keyword(s):  
Mathematical Model ◽  
Supply Chain ◽  
Closed Loop ◽  
Supply Chain Design ◽  
Supply Chain Network ◽  
Metaheuristic Algorithm ◽  
Environmental Aspects ◽  
Closed Loop Supply Chain ◽  
The Mathematical Model ◽  
Constraint Method

Success in supply chain implementation depends on the way of dealing with market changes and customer needs. Agility is a concept that has been introduced in recent years to improve the supply chain. On the other hand, paying attention to environmental problems is another issue, and chains are trying to increase their popularity by focusing on this issue. Considering the importance of this issue, designing a multiobjective closed-loop supply chain network has been discussed in this research. The main contribution of this research is the integration of green and agility concepts in supply chain design. In this regard, a mathematical model is presented with economic, environmental, and agility objectives. First, the mathematical model is solved using the Epsilon constraint method, and then, the multiobjective weed algorithm is proposed to solve the model. The results of comparisons between the two methods show that the multiobjective weed algorithm has performed well in terms of various metrics of NPS, SNS, and Max Spread. In terms of the solving time, the average solving time of this algorithm was about 0.1% of the solving time of the Epsilon constraint method. Moreover, all cases show the superiority of the multiobjective weed algorithm over the Epsilon constraint method in solving the proposed mathematical model.

scholarly journals Planning of production capacities of a high-tech enterprise based on the mathematical model of the Pontryagin maximum

Upravlenie ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 60-70
Author(s):  
A. A. Sazonov
Keyword(s):  
Mathematical Model ◽  
Production Capacity ◽  
Production Equipment ◽  
High Tech ◽  
Production Program ◽  
Current Production ◽  
New Type ◽  
Time Required ◽  
Production Capacities ◽  
The Mathematical Model

The article considers the method of planning the production capacity of a high-tech enterprise based on the application of the Pontryagin maximum mathematical model. The presented method is aimed at increasing the productivity of the equipment installed at the enterprise, in order to optimize the time spent and the volume of products produced. The study analyses the activities of research and production enterprise in order to improve the level of efficiency of production capacity management. The purpose of the research is to organize an effective process of planning production capacities of a high-tech enterprise based on the application of the Pontryagin maximum mathematical model, which allows you significantly to increase not only equipment performance indicators, but also optimize the time required to complete the current production program. The author tested the algorithms, models and methods proposed in the article at a research and production enterprise engaged in the production of high-tech products. The use of the obtained models will allow you to optimize peak loads in the current production program at the enterprise, reduce the labor intensity indicators in the annual production plan, determine the necessary amount of production equipment, which will eventually reduce the amount of necessary investments. The paper gives a practical example of the organization of a new type of production aimed at manufacturing various parts of complex shape.

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

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