scholarly journals Mathematical model of the working process of cone-shaped roller

Author(s):  
K.Z. Tilloev ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 111-116
Author(s):  
M. S. Korytov ◽  
◽  
V. S. Shcherbakov ◽  
V. V. Titenko ◽  
S. D. Ignatov ◽  
...  

2015 ◽  
Vol 741 ◽  
pp. 572-576
Author(s):  
Yu Fan Zhang ◽  
Zhi Hao Ji ◽  
Jin Yan Liu ◽  
Shu Sheng Xiong ◽  
Xiao Bo Huang ◽  
...  

In order to study the working features of automotive air conditioning scroll compressor, this paper uses mathematical model of working process to analyze it. After studying working process, a equation of suction volume is given. The thermodynamic model of compression chamber and back pressure chamber includes mass conservation and energy conservation. Based on Hydromechanics, leakage models of radial leakage and tangential leakage are discussed. The model lays a foundation of automotive air conditioning scroll compressor performance simulation.


2013 ◽  
Vol 469 ◽  
pp. 418-421
Author(s):  
Ye Tian ◽  
Dong Wen Wang ◽  
Li Zhang ◽  
Liang Ding ◽  
Fei Yang ◽  
...  

Screw conveyor is widely used in food packaging field. This paper puts forward a new kind of flexible blades of screw conveyor, to replace the traditional rigid helical blade. Based on the theory of compliant mechanism, the motion are analyzed when the flexible screw blade works. Based on the medium mechanics theory related, The interaction between flexible screw and material relations are analyzed, and the mathematical model of power consumption and transmission capacity are established. The work process of flexible screw working process is simulated with discrete element software EDEM. The result verified the theory is correct.


2020 ◽  
Vol 180 ◽  
pp. 03002
Author(s):  
Petru Cardei ◽  
Raluca Sfiru ◽  
Sebastian Muraru ◽  
Paula Condruz

This article presents results obtained by the author in an attempt to introduce new parameters that influence the working process of agricultural soil working machines, in the classical formulas that mathematically model the tillage draft force. This article naturally introduces soil moisture. To introduce soil moisture into the calculation formulas of the tillage draft force, other physical parameters affected by soil moisture were used: density, cohesion, adhesion, etc. In this article, is explicitly describes, only the variation of soil density with its moisture. Considering some phenomena such as soil swelling or shrinkage, required the development of an adequate mathematical model of the expression of the density of soil-water mixture, concerning the concentration of water and the densities of dry soil and water. The final formulas obtained are tested to experimental results from the literature. Finally, the author sets out his opinion regarding the use of the results in design calculations and regarding the elevation to the rank of physical law of a mathematical model represented by a formula with a large number of parameters, which in turn are still dependent on many others parameters.


Materials ◽  
2020 ◽  
Vol 13 (8) ◽  
pp. 1931 ◽  
Author(s):  
Kirill Sentyakov ◽  
Jozef Peterka ◽  
Vitalii Smirnov ◽  
Pavol Bozek ◽  
Vladislav Sviatskii

The article considers the issue of modeling the oscillations of a boring mandrel with vibration damper connected to the mandrel with a viscoelastic coupling. A mathematical model of the boring mandrel oscillations, machine support and inertial body (damper) is developed in the form of a differential equations system. The model is made in the form of a four-mass system of connected bodies. The solution to the differential equations system was found using the finite difference method, as well as the operator method with the use of the Laplace transform. As the simulation result, it was found that the use of vibration damper can significantly reduce the amplitude of the boring mandrel natural vibrations when pulsed, and also significantly reduce the forced vibrations amplitude when exposed to periodic disturbing forces. The developed mathematical model and algorithms for the numerical solution to the differential equations allowed us to choose the optimal parameters of the boring mandrel damping element. The obtained data will be used to create a prototype boring mandrel and conduct field tests.


2013 ◽  
Vol 325-326 ◽  
pp. 148-151
Author(s):  
Xin Lu ◽  
Yan Huang Zhou ◽  
Yong Gang Yu

In this paper, using light-gas propulsion technology, a one-dimensional mathematical model is established and simulated numerically for working process of light-gas launching facility with a piston-compressor type. A 30mm/120mm light-gas launcher is taken for the primary computing model, and lots of data, such as the pressure on pump, the piston velocity, the diaphragm failure pressure, etc. are obtained by computing the model in given geometry parameters and loading conditions. According to the numerical results, it is concluded that the developed mathematical model can provide theoretical references for structure dimension design and loading parameter configuration of light-gas launcher.


2015 ◽  
Vol 137 (4) ◽  
Author(s):  
Qihui Yu ◽  
Maolin Cai ◽  
Yan Shi ◽  
Chi Yuan

To eliminate the pollutants exhausting, this paper presents an idea of using compressed air as the power source for engines. Instead of an internal combustion (IC) engine, this automobile is equipped with a compressed air engines (CAEs), which transforms the energy of the compressed air into mechanical kinematic energy. Through analysis of the working process of a CAE, the mathematical model is setup. Experiments are carried out to verify the engine performance and the basic model’s validity. By selecting the appropriate reference values, the mathematical model is transformed to a dimensionless expression. The dimensionless speed and efficiency characteristics of the CAE are obtained. Through analysis, it can be obtained that the dimensionless average rotating speed is mainly determined by the intake duration angle, the dimensionless inertia parameter, the dimensionless exhaust pressure, and the scale factor of exhaust valve. Moreover, the efficiency of the CAE is mainly determined by the dimensionless exhaust pressure, the intake duration angle and the dimensionless cylinder clearance. This research can be referred to in the design of CAE and the study on optimization of the CAE.


2020 ◽  
Vol 1441 ◽  
pp. 012103
Author(s):  
M S Korytov ◽  
V S Shcherbakov ◽  
V V Titenko ◽  
S D Ignatov ◽  
S I Tsekhosh

2014 ◽  
Vol 630 ◽  
pp. 124-129 ◽  
Author(s):  
Andrej Papchenko ◽  
Sergiy Kovalyov ◽  
Mykhailo Ovcharenko ◽  
Oleg Barykin

Analytical model of working process, which reflects dependence of energy curve from constructive and regime parameters of machine, is developed by means of mathematical analysis in the article. Adjustment of mathematical model was implemented by physical modelling of working process of multi-functional aggregate-hydromill. Adequacy of obtained regularities was checked.


2019 ◽  
Vol 3 (3) ◽  
pp. 164-170 ◽  
Author(s):  
A. V. Azin ◽  
S. A. Kuznetsov ◽  
S. A. Ponomarev ◽  
S. V. Ponomarev ◽  
S. V. Rikkonen

In the article the results of new piezoelectric step-engine research are presented. The original construct of piezoelectric step-engine is contained in special engineering lever called grab device that can organize back and forward rod’s motion with only one piezo element activity. To choose the effective process of piezoelectric step-engine work the mathematical model was created. This mathematical model describes inner piezoelectric step-engine process like a non-linear vibrational system. The mathematical model identifies speed of piezoelectric step-engine elements over the vibration period with different frequency, load level and voltage. The prototype of piezoelectric step-engine was produced. Experimental issues were conducted. Piezoelectric step-engine’s technical specifications are positioning accuracy over 10–6 meter, speed of movement over 10 mm per minute with weight of load to 1 kg and voltage to 100 Volt. On the results of experimental research it is defined that mathematical model enables to model working process of piezoelectric stepengine with an error not more than 10 %. This research verifies viability of proposed construction and provides the way to increase output power of piezoelectric step-engine.


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