scholarly journals Calculation justification of isolation of boron and sodium cations from melted working and heating medium during strengthening of repaired parts

2021 ◽  
pp. 65-68
Author(s):  
Valeriy Nikolaevich Builov ◽  
Phelix Yakovlevich Rudik ◽  
Ivan Viktorovich Lyulyakov
Keyword(s):  
Mathematical Model ◽  
Systems Of Equations ◽  
Sodium Cations ◽  
Heating Medium

The necessity of developing a mathematical model for theoretical and computational verification of the applicability of the working and heating medium for hardening the restored parts has been substantiated. Formulas and systems of equations representing such a mathematical model are proposed. The results of calculations using these formulas made it possible to evaluate and establish the parameters of the preferred mode when strengthening the restored working organs of tillage aggregates.

scholarly journals Mathematical modelling of vertical and longitudinal-angular vibrations in the composition of the rigidity and damping of the hierarchical parts of the tractor taking into account road impact

2021 ◽  
Vol 264 ◽  
pp. 04066
Author(s):  
Farkhod Matmurodov ◽  
Dilafruz Ermatova
Keyword(s):  
Mathematical Model ◽  
Mathematical Modelling ◽  
Machine Design ◽  
Dynamic Parameters ◽  
Systems Of Equations ◽  
Generalized Systems ◽  
Vertical Vibrations ◽  
Linear Oscillation ◽  
The Mathematical Model

The article contains generalized systems of equations describing the vertical and longitudinal-angular vibrations of the main parts of the tractor with the mathematical model of the hierarchical vertical linear oscillation of the tractor, the irregularities of the roads, taking into account the rigidity and damping. It includes systems: equations describing the vertical vibrations of the skeleton over the propellers of a tractor on an uneven road; equations describing the vertical vibrations of the cab of the rear of the tractor, taking into account the walking of the tractor on uneven roads. Equation systems have also been compiled that describe the vertical oscillations of the uppermost hierarchical link - the seat of the tractor operator, taking into account the walking of the tractor on an uneven road. The use of this original mathematical model will make it possible to find random unwanted oscillations of the new designed machine design. It will help to optimize their geometric and dynamic parameters.

scholarly journals Mathematical Modeling of Helicopter Dynamics with an External Sling Load

2018 ◽  
Vol 7 (4.38) ◽  
pp. 1112
Author(s):  
Vadim Viktorovich Efimov ◽  
Konstantin Olegovich Chernigin ◽  
Nikolay Ivanovich Nikolaykin ◽  
Vadim Vadimovich Vorob’ev ◽  
Mikhail Semenovich Kublanov
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Rotational Motion ◽  
Flight Dynamics ◽  
Systems Of Equations ◽  
Coordinate Systems ◽  
Theoretical Methods ◽  
Helicopter Flight

The article shows the urgency of the development of theoretical methods for studying the dynamics of the flight of a helicopter with an external sling load aimed at ensuring the flight operation safety when transporting loads. A mathematical model of the helicopter flight dynamics with an external sling load is described. The assumptions made are indicated. The load coordinate systems are introduced and described. The systems of equations of acting forces and moments are presented, which are derived considering the accelerated movement of the load's slinging point on the helicopter with its translational and rotational motion.   

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model

Imprecision of Laboratory Determinations and Diagnostic Accuracy: Theoretical Considerations

1974 ◽  
Vol 13 (03) ◽  
pp. 151-158 ◽  
Author(s):  
D. A. B. Lindbebo ◽  
Fr. R. Watson
Keyword(s):  
Mathematical Model ◽  
Diagnostic Accuracy ◽  
Diagnostic Process ◽  
Clinical Laboratories ◽  
Non Linear ◽  
Theoretical Considerations ◽  
Made In

Recent studies suggest the determinations of clinical laboratories must be made more precise than at present. This paper presents a means of examining benefits of improvement in precision. To do this we use a mathematical model of the effect upon the diagnostic process of imprecision in measurements and the influence upon these two of Importance of Diagnosis and Prevalence of Disease. The interaction of these effects is grossly non-linear. There is therefore no proper intuitive answer to questions involving these matters. The effects can always, however, be calculated.Including a great many assumptions the modeling suggests that improvements in precision of any determination ought probably to be made in hospital rather than screening laboratories, unless Importance of Diagnosis is extremely high.

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