Reduction energy prediction for layer-type cone crushers

Elnikova, S. P.; Gazaleeva, G. I.

doi:10.17580/or.2019.05.01

Cited by 3 publications

(6 citation statements)

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“…The selection and sizing of the main technological equipment units for minerals comminution circuits is usually based on the required capacity, on the physical and mechanical properties of minerals, and on the required size distribution of the initial and final products of grinding [1][2][3]. The physical and mechanical properties of the ore can be described using different methods [4][5][6]. In Russia, the ore grinding calculations use the specific mill volumetric capacity by design size fraction (usually -0.074 mm) [7,8].…”

Section: Introductionmentioning

confidence: 99%

Ore hardness properties evaluation based on industrial comminution circuits surveys

Lvov¹,

Chitalov²,

Lagov³

2022

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The paper addresses determination of ore hardness and grindability parameters using the data obtained from the industrial comminutions circuits survey campaigns. The calculations use the earlier obtained relations between the high-energy impact fracture parameters A and b from JK DWT and SMC tests and the energy efficiency indices used in the Morrell method for the conventional grinding, coarse grinding and high pressure grinding roll milling. Using the simulation modeling of comminution circuits for two types of sulfide copper-nickel ore and one type of apatite-nepheline ore, it is shown that the relative error of the theoretical determination of the JK DWT and SMC testing data is never higher than 16.1%. The calculation method is recommended for application in design and optimization studies of process plants for various genesis minerals, including iron ore.

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Section: Introductionmentioning

confidence: 99%

Ore hardness properties evaluation based on industrial comminution circuits surveys

Lvov¹,

Chitalov²,

Lagov³

2022

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“…At the same time, the issues of assessing the efficiency of these control systems remain unsolved. It can be explained by the absence of reliable tools for collecting and processing the data on crushing processes [3] investigates the issues of identifying specific power expenses for fixed-bed crushing in cone crushers considering regularities of particle disintegration. The algorithm of calculating specific power consumption for fixed-bed crushing in cone crushers is developed.…”

Section: Introductionmentioning

confidence: 99%

Ore crushing in the high-pressure roller-press as a modelling object under stochastic properties of feed materials

Oliinyk¹,

Nikolaienko²,

Nikolaienko³

et al. 2021

EEJET

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The results of improving ore crushing in a high-pressure roller-press are presented. Application of a roller-press enables higher crushing efficiency due to both power saving and reduction of sizes of ore crush products to release mineral aggregates. Ore disintegration by compressive strain prevails among currently applied crushing methods. Disintegration occurs not only due to the compressive, but also to the shear strain. Considering smaller power consumption of the shear strain than that of the compressive strain, it is concluded that roller-press application is quite efficient. Simulation of crushing by using the Bond law frequently applied in practice is under consideration. It is essential to consider the stochasticity of the ore flow to be crushed. Presentation of this flow as a random figure by transforming it by the Bond crushing law results in a probabilistic characteristic of the crushing result. This characteristic enables finding properties of the crush product and probabilistic formulation of the problem of improving the crushing process by setting a relevant functional. To apply the results obtained to practical uses, the crushing process is simulated. The theoretical results are confirmed by setting the stochastic properties of the input ore flow by means of Rosen-Rammler’s law followed by statistical substantiation of the conducted calculations in Mathcad. After stimulation and considering stochastic properties of the feed ore flow, the solution of the optimal stabilization problem reveals that stabilization is achieved, while dispersion in relation to the stabilization goal reduces sharply almost five-fold

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“…Либо, как уже отмечалось, методики носят узкоспециализированный характер и привязаны к предлагаемым авторами исследований новым способам организации измельчения [10][11][12][13]. Либо авторы определяют напряжения и объем разрушаемого материала, а значит, работу и мощность по приближенным формулам [14][15][16], например через относительные деформации материала [14,15], что не отражает реального процесса разрушения и дает, соответственно, весьма далекие от реальности результаты. По поводу последнего заметим, что такой подход к теоретическому описанию в свое время проверялся авторами путем получения подобных зависимостей и последующего расчета по полученным формулам.…”

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“…В общем, реальная зависимость между расходом энергии, т.е. работой и мощностью измельчения и размером, формой, взаимным расположением кусков материала, его прочностью, хрупкостью, однородностью и рядом других физикомеханических свойств и факторов, довольно сложная и в настоящее время не поддается точному аналитическому описанию [15,18,19,22,24,26]. Поэтому на практике для нахождения работы измельчения применяют упрощенные зависимости, основанные на положениях и формулах механики упругодеформируемого твердого тела, которые в целом удовлетворительно описывают процессы измельчения с точки зрения качества.…”

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“…Поэтому на практике для нахождения работы измельчения применяют упрощенные зависимости, основанные на положениях и формулах механики упругодеформируемого твердого тела, которые в целом удовлетворительно описывают процессы измельчения с точки зрения качества. Так, например, для определения работы измельчения при дроблении в подавляющем большинстве случаев применяют теорию или гипотезу Кирпичева-Кика [14,15,18,23], согласно которой работа, необходимая для измельчения, прямо пропорциональна объему измельчаемого материала. При этом возникает необходимость в определении объема разрушаемого материала.…”

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The Applied mechanical and mathematical model of grinding of a solid particle by static crushing

Guryanov

Abdeev

Baigereyev

et al. 2021

PNRPU Mechanics Bulletin

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Now crushers are one of the most common types of crushing equipment using the principle of a mechanical method of material destruction (for example, rollers, jaws, cone crushers, etc.). To provide effective parameters of the crusher, it is necessary to take into account the correlation between the physical and mechanical characteristics of the material (sizes, shapes, strengths, fragility, uniformity, etc.) and the energy parameters of the crusher (operation and power) at the design stage. The existing theories describing the mentioned dependence and relying on different classical hypotheses allow obtaining a very approximate (inaccurate) result. Consequently, it is necessary to develop a detailed theory of crushing capable of an accurate description of the mechanical process of material destructions by working members of the crushers. Thus, the authors have developed the crushing theory as an original solution of a complex constructively nonlinear engineering and technical problem on the static contact of a spherical model of a comminuted brittle substance with absolutely rigid convex-concave surfaces of cylindrical rolls designed for coarse and medium grinding. The theory is based on the classical assumptions of the mechanics of an elastically deformable continuous medium, the fundamental analytical dependences of Hertz-Shtaerman and the Kirpichev-Kick volumetric energy hypothesis. During the quantitative assessment of the bearing capacity of the ball, we used the well-known physical and mathematical problem of Weber on the stress state of a sphere loaded by two equal forces applied at the poles, and the Kulon-Mor’s strength criterion, which describes the process of destruction of a wide class of brittle homogeneous materials. The developed theory of fragmentation has been brought to the design formulas and illustrated with a typical numerical example.

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Reduction energy prediction for layer-type cone crushers

Cited by 3 publications

References 0 publications

Ore hardness properties evaluation based on industrial comminution circuits surveys

Ore hardness properties evaluation based on industrial comminution circuits surveys

Ore crushing in the high-pressure roller-press as a modelling object under stochastic properties of feed materials

The Applied mechanical and mathematical model of grinding of a solid particle by static crushing

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