Vibroloading operators of feller-packaging cars in a mode of transferring of a tree cutting-off device.

2016 ◽  
Author(s):  
А.В. Александров ◽  
В.А. Александров ◽  
Г.Ш. Гасымов
Keyword(s):  
Mathematical Description ◽  
System Of Equations ◽  
Programming Environment ◽  
Kutta Method ◽  
Lagrange Equations ◽  
Runge Kutta Method ◽  
System Operator ◽  
The Subject ◽  
Tree Cutting ◽  
Made In

Разработана динамическая модель системы: «Оператор – валочно-па­кети­рующая машина – предмет труда – дерево». Математическое описание составлено в форме уравнения Лагранжа 2-го рода. Система уравнений решена относительно упругой деформации подвеса сиденья оператора методом Рунге-Кутта, с помощью среды программирования MathCAD. Апробация модели осуществлена на примере серийно выпускаемых валочно-пакетирующих машин ЛП-19А. Developed a dynamic model of the system: «Operator - feller-buncher – the subject of work – a tree». Mathematical description is made in the form of the Lagrange equations of the 2nd kind. The system of equations is solved with respect to the elastic deformation of the suspension driver's seat by the Runge-Kutta method, using a programming environment MathCAD. Testing of the model implemented by the example of commercially available feller buncher LP-19A.

scholarly journals Stresses of feller buncher on thinnings during technological moves

2018 ◽  
Author(s):  
В.А. Александров ◽  
А.В. Александров ◽  
Г.Ш. Гасымов
Keyword(s):  
Mathematical Model ◽  
Dynamic System ◽  
Dynamic Load ◽  
Mathematical Description ◽  
Lagrange Equation ◽  
Process Equipment ◽  
System Of Equations ◽  
Programming Environment ◽  
Kutta Method ◽  
Runge Kutta Method

Разработана математическая модель динамической системы: «Валочно- пакетирующая машина – предмет труда – дерево». Математическое описание составлено в форме уравнения Лагранжа 2-го рода. Система уравнений решена методом Рунге–Кутта, с помощью среды программирования MathCAD. Апробация модели осуществлена на примере серийно выпускаемых валочно-пакетирующих машин ЛП – 19А в режимах разгона и стопорения. Установлено, что динамическая нагрузка на технологическое оборудование при технологических переездах сопоставима с нагрузкой при обработке (пакетировании) дерева. A mathematical model of a dynamic system has been developed: «The feller buncher – subject of labor – the tree». The mathematical description is made up in the form of the Lagrange equation of the 2nd kind. The system of equations is solved by the Runge–Kutta method, using the MathCAD programming environment. Approbation of the model is carried out on the example of the commercially available LP-19A feller buncher machines in acceleration and stopping modes. Concluded that the dynamic load on the process equipment during technological moves is comparable to the load during the processing (packaging) of the tree.

scholarly journals Calculation of turbulent diffusion jets under effects of gravity and moving surrounding air

2001 ◽  
Vol 23 (2) ◽  
pp. 87-94
Author(s):  
Bui Van Ga ◽  
Nhan Hong Quang ◽  
Jean Marc Vignon
Keyword(s):  
Velocity Field ◽  
Turbulent Diffusion ◽  
Concentration Field ◽  
Integral Model ◽  
System Of Equations ◽  
Kutta Method ◽  
Air Velocity ◽  
Runge Kutta Method ◽  
Jet Axis ◽  
General Conditions

The basis theory for the turbulent diffusion of jet and flame has been presented previously [1, 2]. But that one applies only in quiet surrounding air with the effects of buoyancy neglected. In the present paper, the theory is developed further by establishing an integral model for a jet in more general conditions with variable inclined angles, under effects of gravity and surrounding air velocity in any direction compared to the jet axis. The system of equations is closed by turbulence k-E model and is solved by 4th order Runge-Kutta method. In the first stage, the model is applied to predict the velocity field, the concentration field and with development of a 0.3 m diameter jet.

scholarly journals Fractional order ecological system for complexities of interacting species with harvesting threshold in imprecise environment

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Najeeb Alam Khan ◽  
Oyoon Abdul Razzaq ◽  
Sankar Parsad Mondal ◽  
Qammar Rubbab
Keyword(s):  
Dynamical Systems ◽  
Fractional Order ◽  
Equilibrium Points ◽  
System Of Equations ◽  
Biological Parameters ◽  
Kutta Method ◽  
Interacting Species ◽  
Runge Kutta Method ◽  
Novel Approach ◽  
Predator Model

Abstract The key objective of this paper is to study the imprecise biological complexities in the interaction of two species pertaining to harvesting threshold. It is explained by taking the prey–predator model with imprecise biological parameters and fractional order generalized Hukuhara (fgH) differentiability. In this vain, different possible systems of the model are constructed, according to the increasing and decreasing behavior of population growth. Feasibility and stability analyses of equilibrium points of the stated models are also discussed by means of variational matrix with Routh–Hurwitz conditions. In addition, the numerical elaborations are carried out by taking parametric expansion of fuzzy fractional Laplace transform (FFLT). This significantly helps the researchers in using a novel approach to analyze the constant solutions of the dynamical systems in the presence of fractional index. This would allow the avoidance of any intricacy that occurs while solving fractional order derivatives. Furthermore, this attempt also provides numerical and pictorial results, obtained through some well-known methods, namely fifth-forth Runge–Kutta method (FFRK), Grunwald–Letnikov’s definition (GL) and Adams–Bashforth method (ABM) that are deemed appropriate to scrutinize the dynamics of the system of equations.

scholarly journals Numerical study of coupled oscillator system using the classical Euler-Lagrange equations

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
H. Shanak ◽  
H. Khalilia ◽  
R. Jarrar ◽  
J. Asad
Keyword(s):  
Coupled Oscillators ◽  
Numerical Study ◽  
Equations Of Motion ◽  
Lagrangian Method ◽  
Order Equation ◽  
Kutta Method ◽  
Lagrange Equations ◽  
Coupled Oscillator ◽  
Oscillator System ◽  
Runge Kutta Method

Abstract Problems involving vibrations (mechanical or electrical) can be reduced to problems of coupled oscillators. For this, we consider the motion of coupled oscillators system using Lagrangian method. The Lagrangian of the system was initially constructed, and then the Euler-Lagrange equations (i.e., equations of motion of the system) have been obtained. The obtained equations of motion are a homogenous second-order equation. These equations were solved numerically using the ode45 code, which is based on Runge-Kutta method.

Vibroloading of the operator feller buncher mode lift the tree by an arrow

2016 ◽  
Author(s):  
В.А. Александров ◽  
А.В. Александров
Keyword(s):  
Mathematical Model ◽  
Mathematical Description ◽  
Development Stage ◽  
The Body ◽  
Source Data ◽  
Design Documentation ◽  
System Operator ◽  
Made In

Рассмотрена вибронагруженность оператора валочно-пакетирующей машины в режиме выведения дерева из древостоя стрелой. Исследование проведено на математической модели биодинамической системы «оператор - валочно-пакетирующая машина - дерево». Математическое описание составлено в форме уравнения Лагранжа 2-го рода. Модель оператора представлена в виде двухмассовой. В процессе исследований варьировалось ускорение разгона стрелы в диапазоне 0,2…0,8 рад/с2. Расчеты выполнены с исходными данными применительно к валочно-пакетирующей машине ЛП-19А. Предложенная математическая модель позволяет определять вибрационное воздействие на организм оператора ВПМ на стадии разработки конструкторской документации. The article discusses vibroloading of the operator feller buncher mode lift the tree by an arrow. The study was conducted on a mathematical model of biodynamic system «operator - Feller Buncher - tree». Mathematical description is made in the form of Lagranzhe equations of the second kind. Model of the operator is presented in the form of two-mass. During the study varied: acceleration arrows in the range of 0,2…0,8 rad/s2. Calculations are made to the source data in relation to the feller bunchers LP-19А.Proposed a mathematical model to determine the vibration effects on the body of the operator of the FB in the development stage of the design documentation.

Study on the Modes of Operation of a Multi-Machine Installations with Mechanical Reduction

2019 ◽  
pp. 12-22
Author(s):  
A. M. Oleynikov ◽  
L. N. Kanov
Keyword(s):  
Mathematical Description ◽  
Reactive Power ◽  
Maximum Efficiency ◽  
Wind Flow ◽  
System Of Equations ◽  
Mechanical Equilibrium ◽  
Synchronous Generators ◽  
Electromagnetic Excitation ◽  
Number Of Generators ◽  
Wide Range

The paper gives the description of the original wind electrical installation with mechanical reduction in which the output of vertical axis wind turbine with rather low rotation speed over multiplicator is distributed to a certain number of generators. The number of acting generators is determined by the output of actual operating wind stream at each moment. According to this constructive scheme, it is possible to provide effective and with maximum efficiency installation work in a wide range of wind speeds and under any schedule issued to the consumer of electricity. As there are no any experience in using such complexes, mathematical description of its main elements is given, namely windwheels, generators with electromagnetic excitation of magnetic electrical type, then their interaction with windwheel, and also the results of mathematical modeling of work system regimes under using the offered system of equations. The basis for the mathematical description of the main elements of the installation – synchronous generators – are the system of equations of electrical and mechanical equilibrium in relative units in rotating coordinates without considering saturation of the magnetic circuit. The equation of mechanical equilibrium systems includes torque and brake windwheel electromagnetic moments of generators with taking into account the reduction coefficients and friction. In addition, we specify the alternator rotor dynamics resulting from continuous torque of windwheel fluctuations under the influence of unsteady wind flow and wind speed serving as the original variable is modeled by a set of sinusoids. Model simplification is achieved by equivalization of similar generators and by disregarding these transitions with a small time constant. Calculation the installation with synchronous generators of two types of small and medium capacity taking into account the operational factors allowed us to demonstrate the logic of interactions in the main elements of the reported complex in the process of converting wind flow into the generated active and reactive power. We have shown the possibility of stable system work under changeable wind stream condition by regulating of the plant blade angle and with simultaneous varying of generator number of different types. All these are in great interest for project organizations and power producers.

On the Harmonic Oscillations for the Motion of a Dynamical System

2017 ◽  
Vol 13 (2) ◽  
pp. 4657-4670
Author(s):  
W. S. Amer
Keyword(s):  
Dynamical System ◽  
Numerical Solutions ◽  
Equation Of Motion ◽  
Parameter Method ◽  
Kutta Method ◽  
Small Parameter Method ◽  
Harmonic Oscillations ◽  
Pivot Point ◽  
Runge Kutta Method ◽  
High Consistency

This work touches two important cases for the motion of a pendulum called Sub and Ultra-harmonic cases. The small parameter method is used to obtain the approximate analytic periodic solutions of the equation of motion when the pivot point of the pendulum moves in an elliptic path. Moreover, the fourth order Runge-Kutta method is used to investigate the numerical solutions of the considered model. The comparison between both the analytical solution and the numerical ones shows high consistency between them.

Need of Human Rights as a Better Way of Life

Think India ◽  
2019 ◽  
Vol 22 (3) ◽  
pp. 72-83
Author(s):  
Tushar Kadian
Keyword(s):  
Human Rights ◽  
Basic Needs ◽  
Research Paper ◽  
Human Being ◽  
Way Of Life ◽  
Labour Unions ◽  
The People ◽  
The Subject ◽  
Definition Of ◽  
Made In

Actually, basic needs postulates securing of the elementary conditions of existence to every human being. Despite of the practical and theoretical importance of the subject the greatest irony is non- availability of any universal preliminary definition of the concept of basic needs. Moreover, this becomes the reason for unpredictability of various political programmes aiming at providing basic needs to the people. The shift is necessary for development of this or any other conception. No labour reforms could be made in history till labours were treated as objects. Its only after they were started being treating as subjects, labour unions were allowed to represent themselves in strategy formulations that labour reforms could become a reality. The present research paper highlights the basic needs of Human Rights in life.

ICO as a Business Financing Tool: Myths and Reality

2018 ◽  
Vol 11 (2) ◽  
pp. 41-51 ◽  
Author(s):  
I. Ya. Lukasevich
Keyword(s):  
Corporate Finance ◽  
Digital Economy ◽  
Real Sector ◽  
The Real ◽  
Objective Information ◽  
Advantages And Disadvantages ◽  
Russian Economy ◽  
The Subject ◽  
Business Financing ◽  
Made In

The subject of the research is new tools for business financing using the initial coin offering (ICO) in the context of the development of cryptocurrencies and the blockchain technologies as their basis. The purpose of the work was to analyze the advantages and disadvantages of the ICO in comparison with traditional financial tools as well as prospects, limitations and problems of using digital financial tools. Conclusions are made in relation to possibilities, limitations and application areas of digital business financing tools, particularly in the real sector, taking into account the specifics of the Russian economy and legislation. It is shown that the main problems of using the digital financial tools are related to the economic sphere and caused by the lack of adequate approaches to evaluation of assets as well as the shortage of objective information. The problems and new tasks of corporate finance in the digital economy are defined.

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