scholarly journals MATHEMATICAL MODEL OF THE FUNCTIONING PROCESS OF A RUBBER BUSHING ON THE HOOKE AND SAINT-VENANT ELEMENTS’ BASIS

2019 ◽  
Vol 16 (6) ◽  
pp. 706-716
Author(s):  
D. A. Tikhov-Tinnikov ◽  
V. S. Baradiev ◽  
A. I. Fedotov ◽  
A. V. Alekseev
Keyword(s):  
Mathematical Model ◽  
Optimization Methods ◽  
Force Balance ◽  
Model Description ◽  
Harmonic Mode ◽  
Elastic Suspension ◽  
Power Characteristics ◽  
Operating Modes ◽  
Rubber Bushing ◽  
The Mathematical Model

Introduction. Rubber bushings are important parts of the spring systems of modern vehicles. The properties determine not only the comfort of car movement, but also affect the elastic suspension characteristics. When a bushing is deformed, linear sections appear in characteristics. It is advisable to describe such characteristics using a mathematical model based on the classical elements of Hooke and Saint-Venant. The paper presents a mathematical description of the bushing simulation functioning results, accuracy of approach, areas of application of the mathematical model.Materials and methods. The initial data was the experimental characteristic of a cylindrical automobile rubber bushing, obtained in harmonic mode at the 0.03 to 51 Hz frequency and the 0.4 to 10 mm amplitude. The force balance of the two Hooke elements and one Saint-Venant element interacting with each other determined the mathematical model description. The authors carried out the calculations using numerical and optimization methods.Results. As a result, the authors determined functions characterizing the change in the parameters of the Hooke and Saint-Venant elements from the rubber bushings’ deformation amplitude. Moreover, the authors calculated power characteristics in the form of dependences of the rubber bushing effort and also found quantitative indicators of the reliability of the experimental data approximation by the developed mathematical model.Discussion and conclusions. The analysis of the operating modes shows the possibility of the model application to describe the rubber bushing functioning in a stationary harmonic mode with small and medium strain amplitudes. The simulation results of the Hooke’s and Saint-Venant’s parameters reveals the theoretical prerequisites for the possibility of using the model to calculate the bushing force in an unsteady mode.The authors have read and approved the final manuscript. Financial transparency: the authors have no financial interest in the presented materials or methods. There is no conflict of interest.

scholarly journals Evaluating the loads on bulldozer undercarriage under longitudinal trim

2020 ◽  
Vol 26 (3) ◽  
pp. 57-60
Author(s):  
Igor Kirichenko
Keyword(s):  
Mathematical Model ◽  
Mathematic Model ◽  
Operating Modes ◽  
The Mathematical Model

Based on the air-wheel type machines simulation, a bulldozer mathematic model for all its operating modes has been worked out. Evaluation of loads on the bulldozer undercarriage under longitudinal trim has been considered as an example of possible implementing the potential of the mathematical model proposed.

scholarly journals Optimization of daily operation mode of photovoltic systems of enterprises

2021 ◽  
Vol 264 ◽  
pp. 04063
Author(s):  
Tulkin Gayibov ◽  
Elnur Abdullaev
Keyword(s):  
Mathematical Model ◽  
Renewable Energy Sources ◽  
Operation Mode ◽  
Distribution Networks ◽  
Photovoltaic System ◽  
Optimal Parameters ◽  
Manufacturing Enterprises ◽  
Operating Modes ◽  
Mode Of Operation ◽  
The Mathematical Model

At present, one of the most important issues at the level of various manufacturing enterprises is the development of ways for building and efficiently using renewable energy sources, especially solar energy. In this regard, this article proposes a mathematical model of the problem of determining the optimal daily mode of operation of a photovoltaic system in an enterprise with a private photovoltaic system connected to the electrical system. The effectiveness of the mathematical model was analyzed on the example of determining the optimal mode of operation of the photovoltaic system located on the territory of Jizzakh Polytechnic Institute. It is shown that the mathematical model can be used to determine the optimal operating modes of existing photovoltaic systems in enterprises and distribution networks, as well as to determine the optimal parameters in their design.

scholarly journals Numeric modeling and estimating the performance characteristics of a pneumatic driven high pressure pump

2018 ◽  
Vol 245 ◽  
pp. 09014 ◽  
Author(s):  
Nikita Zhurkin ◽  
Anatolij Donskoj ◽  
Aleksandr Zharkovskij
Keyword(s):  
Mathematical Model ◽  
High Pressure ◽  
Constant Load ◽  
Constant Volume ◽  
Performance Characteristics ◽  
High Pressure Pump ◽  
Operating Modes ◽  
Computational Data ◽  
The Mathematical Model ◽  
Main Operating

Pneumatic driven high pressure pumps (PDHPPs), having a number of considerable advantages in comparison to other types of high pressure pumps, are widely used in different sectors of modern industry. However, estimating the performance characteristics of a PDHPP is complicated due to the specifics of physical processes taking place during its operation. A mathematical model was developed to solve this problem. Two main operating modes are considered: for constant load and for constant volume, which cover the most common uses of the PDHPPs. The solution of the model made it possible to estimate how various parameters affect the operation of the pump. Thus, with an increasing pressure of compressed air, the volume flow grows at the pump outlet; with a higher pressure of the pumped liquid due to compressibility and a higher load on the drive cylinder, the flow, on the contrary, reduces. In case the PDHPP operates for the constant volume, the time of pressure increase grows with an increase of the required pressure and the value of this volume. The mathematical model and computational data can be used in the development of new and modification of the existing pumps.

scholarly journals Optimization methods of operating costs on road transport in international transportation

2020 ◽  
Vol 11 (3) ◽  
pp. 129-133
Author(s):  
S. I. Bondariev ◽  
Keyword(s):  
Mathematical Model ◽  
Optimization Methods ◽  
Road Transport ◽  
Transport Processes ◽  
Road Transportation ◽  
The Road ◽  
Transport Services ◽  
Definition Of ◽  
The Mathematical Model ◽  
Fuel Costs

Transport processes research are closely related to the economic and operational performance of road transport. During planning road transportation, the most important factor is the transport services cost. Known fact that most of the transportation costs are car fuel. The share of car fuel in the transport tariff cost can be 25-50% (depending on the working conditions of vehicles). Therefore, research that is associated with improving the vehicles efficiency by reducing variable costs is appropriate and relevant. The article presents the results of research on the planning of transport processes in the road transport performance in international road transport for the return flight and calculating methods the demand for the amount of fuel purchased in different countries with different prices. The author presents the results of theoretical and experimental research the adequacy of the mathematical model (methodology). The specified mathematical model consists in substantiation of a technique of calculation of quantity of car fuel, definition of the variable factors influencing volumes of fuel expenses, calculation of correction factors (total) received on the basis of technical and operational indicators of vehicles and the influencing factors connected with features of road transport work. . The second part of the research contains the results of the development of an algorithm development to calculate the total cost of automotive fuel, which was purchased at different prices in several countries. Thus, the main purpose of research is the task of substantiating the algorithm (mathematical model – methodology) for determining fuel costs by the criterion of the highest use of fuel in countries at the lowest prices.

Modelling of external filter cake profile along the well during drilling

2014 ◽  
Vol 54 (1) ◽  
pp. 319 ◽  
Author(s):  
Azim Kalantariasl ◽  
Abbas Zeinijahromi ◽  
Pavel Bedrikovetsky
Keyword(s):  
Mathematical Model ◽  
Velocity Profile ◽  
Filter Cake ◽  
Thickness Distribution ◽  
Material Balance ◽  
Force Balance ◽  
Predictive Tool ◽  
Physiochemical Properties ◽  
Cake Thickness ◽  
The Mathematical Model

This paper presents a new mathematical model to predict the steady-state external filter cake thickness distribution and velocity profile along the wellbore during overbalanced drilling. Several models have been suggested for the prediction of external cake thickness using the force balance method. Yet, a comprehensive literature survey reveals that electrostatic forces and the permeate force correction factor have been neglected, while both can significantly change the conditions of particle detachment from the cake surface. Torque balance of hydrodynamic (lifting, tangential and permeate drag), gravity and electrostatic (DLVO) forces along with Darcy’s law and material balance is used to investigate the conditions of particle attachment/detachment on the cake surface. The results show strong effects of mud chemistry, particle size, cake permeability, tangential flow velocity, overbalance pressure, and Young’s modulus on the external filter cake thickness and velocity profile. The mathematical model can be applied as a predictive tool for the estimation of filter cake thickness. It allows for the calculation of external filter cake distribution using the physiochemical properties of mud and particles.

Enhancing a twist beam suspension system conceptual design using population-based optimization methods

2020 ◽  
Vol 62 (7) ◽  
pp. 672-677 ◽  
Author(s):  
E. İ. Albak ◽  
E. Solmaz ◽  
F. Öztürk
Keyword(s):  
Mathematical Model ◽  
Conceptual Design ◽  
Optimization Methods ◽  
Population Based ◽  
Least Squares Regression ◽  
Stage Design ◽  
Beam Design ◽  
Design Variables ◽  
Optimization Study ◽  
The Mathematical Model

Abstract Twist beam suspension systems are usually used in middle segment vehicles due to certain advantages. Researchers have presented many studies on both lightweight and functional twist beam design. In this paper, an optimization study is presented for enhancing the conceptual design of the twist beam by defining design variables along the twist beam as subject to vehicle handling conditions.Toe and camber angles are essential parameters that determine vehicle behavior during maneuvering. In this study, opposite wheel travel analysis is performed to represent maneuvering behavior. Therefore, while the optimization study is presented in the form of weight reduction, it is aimed to keep the toe and camber angles at certain intervals. Ant lion optimizer and mothflame optimization methods, which are population-based optimization methods, are used in the optimization phase to evaluate the performance of the new algorithms as compared with genetic algorithm in terms of robustness and correctness in the case of twist beam design. A two stage approach is introduced for presenting the optimization model and analysis. In the first stage, design space is created via the Latin hypercube method; the mathematical model is obtained via the least squares regression method. Finally, the mathematical model is solved to enhance twist beam conceptual design using recently developed population based optimization algorithms.

Development and Implementation of a New Mathematical Model of the Tangential Exit Nozzles in Centrifugal Compressors

2020 ◽  
pp. 17-35
Author(s):  
A.A. Drozdov ◽  
Y.B. Galerkin ◽  
A.A. Utsekhovskiy
Keyword(s):  
Mathematical Model ◽  
Cross Sections ◽  
Meridional Plane ◽  
Constant Density ◽  
Output Unit ◽  
Centrifugal Compressors ◽  
Pressure Losses ◽  
Operating Modes ◽  
Exit Nozzle ◽  
The Mathematical Model

Various engineering techniques are used for optimal gas-dynamic design of centrifugal compressors. This includes a universal modelling method that consists of software programs developed at Peter the Great St. Petersburg Polytechnic University. Tangential exit nozzles are elements of the centrifugal compressor flow path. The analysis of the results of the tangential exit nozzle calculations using the current mathematical model showed a need of improvement. The following main provisions formed a basis for a new model: the size of the passage is determined using the flow rate equation at the entrance and exit of the output unit (the calculated cross sections should be increased by 25–35% according to the recognized recommendations by Russian experts); the real nature of the flow in the output unit is taken into account by introducing an empirical coefficient in the equation of the circumferential component of velocity; the output diffuser is designed taking into account the optimal angle of expansion of an equivalent conical diffuser; the scroll tongue is shifted from a section with an angle of expansion of 0° to a section with an angle of expansion of 30°, which aids levelling the circumferential flow parameters and reduces total losses. To simplify the calculation process, a constant density along the scroll length is adopted in the mathematical model. The circumferential component of velocity is also determined approximately using the flow continuity equation without taking viscosity into account. Losses in scrolls and annular chambers are calculated in the radial and meridional planes. In the radial plane, the main losses are friction losses, whereas in the meridional plane, the main losses are due to expansion. For a trapezoid scroll, these pressure losses are determined depending on the scroll’s expansion angle. In the off-design operating modes, incidental losses due to impact flow around the scroll tongue are added. The presented model was implemented in the new version of the universal modeling method. The mathematical model was identified by the results of the commissioning test of the turboexpanders and turbochargers.

scholarly journals MODELLING OF INTERNAL COMBUSTION ENGINES’ EMISSION THROUGH THE USE OF TRAFFIC FLOW MATHEMATICAL MODELS

Transport ◽  
2011 ◽  
Vol 26 (3) ◽  
pp. 271-278 ◽  
Author(s):  
Raimundas Junevičius ◽  
Marijonas Bogdevičius ◽  
Ádám Török
Keyword(s):  
Mathematical Model ◽  
Traffic Flow ◽  
Internal Combustion Engines ◽  
Internal Combustion ◽  
Flow Speed ◽  
Model Description ◽  
Regression Equations ◽  
Combustion Engines ◽  
Traffic Flows ◽  
The Mathematical Model

Road traffic flows on a straight road segment are modelled in this article. The mathematical model of traffic flows has been constructed by using the method of lumped parameters. CO2, CO, CH, NOx, PM regression equations of internal combustion engines’ (ICE) emission has been developed. The accuracy of regression equations is 0.98÷0.99. The article presents assumptions for constructing the mathematical model, description of the mathematical model and gives simulation results. Traffic flow parameters, such as traffic flow concentration and traffic flow speed are presented as modelling results. ICE emission depending on the concentration and traffic flow speed are presented as well.

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