Correction

Aleksandrov, V A

doi:10.1070/sm1991v070n02abeh003712

Cited by 2 publications

(2 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The problems of infinitesimal bending of curves and surfaces in Euclidean 3-space E 3 are an important part of differential geometry and are discussed in [8][9][10][11][12][13][14][15][16][17][18][19][21][22][23][24] and so forth. Based on these considerations, primarily on papers [11,17,22,24], we will generalize the basic concepts and statements to dual 3-space D 3 .…”

Section: Infinitesimal Bending Of Dual Curvesmentioning

confidence: 99%

Characterization of dual curves using the theory of infinitesimal bending

Najdanović

2024

Math Methods in App Sciences

View full text Add to dashboard Cite

In this paper, we generalize the main ideas and statements of the theory of infinitesimal bending in Euclidean 3‐space to dual curves in the dual 3‐space . The basic condition we introduce is the invariance of the dual arc length with appropriate precision. Necessary and sufficient conditions for the dual field to be an infinitesimal bending field are given. Some useful formulas and facts about dual arc length and dual bending field are obtained. An explicit characterization of the dual spherical curve bending is presented, and the corresponding infinitesimal bending field is decomposed into dual vectors of the dual Frenet frame. Finally, some examples are given to illustrate our results.

show abstract

Section: Infinitesimal Bending Of Dual Curvesmentioning

confidence: 99%

Characterization of dual curves using the theory of infinitesimal bending

Najdanović

2024

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

“…Graphite, which is a structural form of carbon, begins to interact actively with atmospheric oxygen at a temperature of more than 700 0 C. To increase the resistance of GE and reduce the temperature of its surface various methods of protection are used both in the melting process and after the release of the metal. The following methods for increasing the life of the electrodes are known [1][2][3][4][5][6][7][8][9][10][11][12]:…”

Section: Introductionmentioning

confidence: 99%

Efficiency of Application of Evaporative Cooling of Graphite Electrodes to Reduce their Consumption in Arc Furnaces

Yachikov

Портнова

Быстров³

2019

MSF

View full text Add to dashboard Cite

A significant part of the cost of released products in the smelting of steel is the cost of graphite electrodes, so reducing their specific consumption is an urgent task. The aim of the work is to study on a computer model and analyze the efficiency of using evaporative cooling to reduce the consumption of graphite electrodes in electric arc furnaces of three-phase alternating and direct current of small capacity. A computer simulation of the thermal state and fame of graphite electrodes for arc furnaces of three-phase and direct current with the capacity of 12 tons was performed. The efficiency of using evaporative cooling of graphite electrodes was revealed. It is established that for arc furnaces operating on direct and three-phase alternating current, the use of electrodes water cooling allows to reduce the consumption of graphite by about one and a half times. It is established that the water supply to the evaporative cooling system is the most rational during 1–2 minutes after the current is turned on. The use of evaporative cooling of graphite electrodes in arc furnaces can be recommended to reduce their consumption on operating and designed small capacity alternating and direct current arc furnaces.

show abstract

Correction

Cited by 2 publications

References 0 publications

Characterization of dual curves using the theory of infinitesimal bending

Characterization of dual curves using the theory of infinitesimal bending

Efficiency of Application of Evaporative Cooling of Graphite Electrodes to Reduce their Consumption in Arc Furnaces

Contact Info

Product

Resources

About