VERIFICATION OF THE MATHEMATICAL MODEL OF …
The results of theoretical research of energy consumption on the crusher drive showed a reduction in consumption compared to existing crushers (Yanovych V.P., Kupchuk I.M., Kovalchuk O.S., 2016). However, the use of these mathematical models for the design of crushers requires their verification. Fig 1 - Vibration disc crusher (kinematic scheme):
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MATHEMATICAL MODELING OF GRAIN SIZE AND GRAIN SHAPE OF CONE CRUSHER
In order to quantitative analysis and calculation of cone crusher broken material quality to support the optimization design of the product, based on the theory of laminated crushing to layers of cone crusher chamber, set up the improvement of cone crusher operation model of the process, further study of broken product particle size distribution model and the calculation method of …
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N4SID method applied to obtain a discrete-time linear state space
This paper presents results of the use of the N4SID method, belonging to the subspaces identification techniques, in its deterministic case, applied to a prototype of a crusher, where this unit operation is part of the mineral processing chain. A mathematical model in discrete-time linear state space system is obtained, where the result indicates that the estimation of the …
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A review of modeling and control strategies for cone …
This work opens with a brief review of the mechanical principles of cone crushers. Then, in the following sections, works available in the cone crusher literature, ranging from …
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Mathematical modeling of a vertical shaft impact crusher …
Vertical Shaft Impact (VSI) crushers have been used as interesting alternatives to cone crushers, particularly in the production of aggregates for the construction industry, not only due to their good energy efficiency but also to their ability to generate more isometric and tougher particles, which is highly desirable in cement mortars and concrete applications. Several …
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Prediction of effectiveness of universal rotavirus vaccination …
We designed a dynamic compartmental model of RVGE infection and transmission in Vietnam. Age-specific characteristics and demographic changes in the Vietnamese population were incorporated using a ...
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Gyratory crusher model and impact parameters related to …
The objective of this research was to develop a mathematical model for gyratory crushers to help in the prediction of energy consumption and to analyze dominant parameters that affect this energy consumption. The development of a gyratory crusher model was achieved in the following three main stages: mathematical representation and coding of the crushing …
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A review of modeling and control strategies for cone crushers …
The process knowledge from process engineers and operators is translated into mathematical rules, which are applied to plant data (for example, output measurements acquired by soft sensors) to calculate optimal control actions. ... In this vein, cone crusher models that not only are able to incorporate both power consumption, flow, and crushing ...
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Application of EDEM Simulation for Calculating …
Vitalii P. Kondrakhin et al.'s study extensively explores the mathematical modeling and optimization of a single-roll gyratory shaft crusher, with a focus on its working chamber and executive body.
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Chamber Optimization for Comprehensive Improvement of Cone Crusher
Results show that considering the amount of ore uplift in the blockage layer, the revised mathematical model of crusher productivity can better characterize the actual productivity. The bottom angle of the mantle and the length of the parallel zone are within the range of 50°–60°and 140 mm–190 mm, respectively. The productivity shows a ...
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A Dynamic Model of Inertia Cone Crusher Using the …
The cone crusher is an indispensable equipment in complex ore mineral processing and a variant of the cone crusher is the inertia cone crusher. A real-time dynamic model based on the multibody dynamic and discrete element method is established to analyze the performance of the inertia cone crusher. This model considers an accurate description of …
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Verification of the mathematical model of the energy …
To reduce the energy intensity of this process the experimental model Vibrating-Rotor Crusher [7,9,10] ... Both the experiment results and mathematical model show a direct correlation between the ...
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Chapter 06: Mathematical Models
What is a Mathematical Model? Engineers use mathematical models all the time to represent physical phenomena. For example, in the last chapter we learned about Hooke's Law, ( F=kx ) for springs, which is a mathematical model. You may have also heard about Ohm's Law in physics, ( V=IR ) for circuits, which is also a mathematical model. There is …
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VERIFICATION OF THE MATHEMATICAL MODEL OF …
scientific research, the authors developed and analyzed a mathematical model of energy consumption by a crusher drive. As a result of theoretical studies, the analytical and graphical dependence of the energy consumption by the drive from the angular velocity of the crusher rotor shaft was obtained. The aim of this article is to verify the ...
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Gyratory crusher model and impact parameters related …
The objective of this research was to develop a mathematical model for gyratory crushers to help in the prediction of energy consumption and to analyze dominant parameters that affect this energy ...
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Mathematical Modeling and Multi-Criteria Optimization …
Mathematical modeling and optimization of the design parameters of the working chamber and the executive body (roll) of a single-roll gyratory shaft crusher, designed for crushing strong …
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Mathematical modeling of a vertical shaft impact …
concrete applications. Several mathematical models for the VSI crusher have been proposed in the last two decades or so. The Whiten crusher model, originally developed for cone crushers, has served as the basis of several approaches to model VSI crushers. In the present work, the Andersen/Awachie/Whiten model has been
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Mathematical Modeling and Multi-Criteria …
Mathematical modeling and optimization of the design parameters of the working chamber and the executive body (roll) of a single-roll gyratory shaft crusher, designed for crushing strong...
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Modeling and Improving the Efficiency of …
Work proposes a fundamental model that serves as a universal tool for modeling jaw crushers. The relations defined in this work are suitable for modeling the kinematics of the process, flow, fracture, capacity, power, and …
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Mathematical modeling kinematics of double toggle jaw crusher
Mathematical modeling kinematics of double tog gle jaw crusher Yevgeny Mishchuk 1, Dmitry Mishchuk 2, Оlga Kapusta 3 1,2,3 Kyiv National University of Construction and Archit ecture,
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MATHEMATICS TEACHING IN VIETNAM AND THE …
the past. Vietnam's mathematics curriculum is going to innovate after 2018. Mathematical education constructs the connection between mathematical ideas, between mathematics and other subjects, and between mathematics and real life. This article investigates two significant issues in mathematics teaching in Vietnam: the purpose of
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Real-Life Applications of Mathematical Modeling
A mathematical model is like a simplified version of something real, using math stuff like rules and numbers. It helps us understand how things work, predict what might happen, and see how they behave. These models make complex things easier to understand and help us make smart decisions based on what we learn from them. A mathematical model ...
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Dust deposition on the photovoltaic panel: A
In a study by Sengupta et al. [67], a mathematical model was developed to investigate dust deposition under different precipitation conditions, and the proportion of particles remaining on the module surface after 8 h of various types of precipitation was described. The results indicate that light rain leaves 74 % of the particles, medium rain ...
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Overview — Introduction to Mathematical Modelling
Types of Models#. There are many different types of mathematical models! In this course we focus on the following: Deterministic models predict future based on current information and do not include randomness. These kinds of models often take the from of systems of differential equations which describe the evolution of a system over time.. Stochastic models include …
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Mathematical modeling of a vertical shaft impact crusher …
Semantic Scholar extracted view of "Mathematical modeling of a vertical shaft impact crusher using the Whiten model" by J. Segura-Salazar et al. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 221,232,958 papers from all fields of science. Search ...
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Mathematical modeling of a vertical shaft impact crusher …
Several mathematical models for the VSI crusher have been proposed in the last two decades or so. The Whiten crusher model, originally developed for cone crushers, has …
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Chamber Optimization for Comprehensive Improvement of …
Based on the principle of interparticle breakage, the kinematic characteristics of bulk materials, and the population balance modeling (PBM), a dual-objective programming …
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Advanced comminution modelling: Part 1 – Crushers
These show the nature and level of fidelity that is now possible to include in particle scale crusher models including breakage of non-spherical particles and prediction of the product size distribution and throughput. Previous article ... App. Math. Modell., 16 (1992), pp. 598-604. View PDF View article View in Scopus Google Scholar [33] B.K ...
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Mathematical modeling of a vertical shaft impact crusher …
Several mathematical models for the VSI crusher have been proposed in the last two decades or so.The Whiten crusher model, originally developed for cone crushers, has served as the basis of several approaches to model VSI crushers. In the present work, the Andersen/Awachie/Whiten model has been used as the basis for modeling a VSI crusher ...
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Modelling of output and power consumption in vertical shaft impact crushers
Jaw crushers are commonly-used machines in aggregate production. The aim of the research is to present a model which is able to predict particle size distribution in jaw crushers and to provide a new …
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