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.

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.

Enhancement the Solar Still Performance Using Chimney Exhaust Gases

2021 ◽  
Author(s):  
Hamdy Hassan
Keyword(s):  
Mathematical Model ◽  
Theoretical Study ◽  
Saline Water ◽  
Kutta Method ◽  
Solar Still ◽  
Climate Conditions ◽  
Exhaust Gases ◽  
Runge Kutta Method ◽  
The Impact ◽  
The Mathematical Model

Abstract In this paper, a theoretical study is presented on enhancement of the solar still performance by using the exhaust gases passing inside a chimney under the still basin. The impact of the exhaust gases temperature on the solar still temperature, productivity, and efficiency are considered. The performance of solar still with chimney is compared with that of conventional solar still. The study is carried out under the hot and climate conditions of Upper Egypt. A complete transient mathematical model of the physical model including the solar still regions temperatures, productivity, and heat transfer between the solar still and the exhaust gases are constructed. The mathematical model is solved numerically by using fourth-order Runge-Kutta method and is programmed by using MATLAB. The mathematical model is validated using an experimental work. The results show that the solar still saline water temperature increases and productivity with using and rising the exhaust gases. Furthermore, the impact of using exhaust gases on the still performance in winter is greater than in summer. using chimney exhaust gases at 75 °C and 125 °C enhances the daily freshwater yield of the conventional still by more than three times and about six times in winter, respectively, and about two and half times and more than three times in summer, respectively.

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.

Heat Transfer Model in a Rotary Drum During the Fermentation Process

2020 ◽  
Vol 77 (1) ◽  
pp. 151-160
Author(s):  
Norazaliza Mohd Jamil ◽  
Aainaa Izyan Nafsun ◽  
Abdul Rahman Mohd Kasim
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Heat Transfer Coefficient ◽  
Fermentation Process ◽  
Transfer Model ◽  
Kutta Method ◽  
Contact Heat ◽  
Contact Heat Transfer ◽  
Runge Kutta Method ◽  
Rotary Drum

A new mathematical model describing heat transfer during the fermentation process in a rotary drum is proposed. The model includes representations of the kinetic reactions, the temperature of the solid bed, and physical structures within the rotary drum. The model is developed using five ordinary differential equations and was then solved using the Runge-Kutta method embedded in MATLAB software. A reasonable behaviour for the temperature profile to the fermentation process is achieved. The results show that the mass of the solid bed, contact heat transfer coefficient, and the wall temperature has a significant effect on the fermentation process in a rotary drum.

scholarly journals Modeling and Optimal Control on the Spread of Hantavirus Infection

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1192 ◽  
Author(s):  
Fauzi Mohamed Yusof ◽  
Farah Aini Abdullah ◽  
Ahmad Izani Md. Ismail
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Control System ◽  
Maximum Principle ◽  
Optimal Control Theory ◽  
Necessary Condition ◽  
Hantavirus Infection ◽  
Kutta Method ◽  
Rodent Population ◽  
Runge Kutta Method

In this paper, optimal control theory is applied to a system of ordinary differential equations representing a hantavirus infection in rodent and alien populations. The effect of the optimal control in eliminating the rodent population that caused the hantavirus infection is investigated. In addition, Pontryagin’s maximum principle is used to obtain the necessary condition for the controls to be optimal. The Runge–Kutta method is then used to solve the proposed optimal control system. The findings from the optimal control problem suggest that the infection may be eradicated by implementing some controls for a certain period of time. This research concludes that the optimal control mathematical model is an effective method in reducing the number of infectious in a community and environment.

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.

On the Design of Spring-Actuated Mechanism for 69KV SF6 Gas Insulated Circuit Breaker

2003 ◽  
Vol 125 (4) ◽  
pp. 840-845 ◽  
Author(s):  
Fu-Chen Chen
Keyword(s):  
Design Method ◽  
Lagrange Equation ◽  
Equations Of Motion ◽  
Circuit Breaker ◽  
Total Duration ◽  
Kutta Method ◽  
Circuit Breakers ◽  
Loop Method ◽  
Runge Kutta Method ◽  
The Times

This paper studies the design of a spring-actuated mechanism of 69KV SF6 Gas insulated circuit breakers. The creative mechanism design method is first used to synthesize all the feasible mechanisms that satisfy the requirements for the circuit breaker. The kinematics of the mechanism are then analyzed using the vector-loop method. Subsequently, the equations of motion are derived with the Lagrange equation and solved by the Runge-Kutta method. The duration of individual operation, and hence the total duration to complete the full cycle of the mechanism has also been calculated. The times taken for the closing and opening operations were found to be 0.116 and 0.076 sec, respectively, comparable with the experiments.

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