Akobirova et al. [14] established a mathematical model for a lab-scale centrifugal vertical impact crusher to predict the percentage of crushed stone output with sizes of 5–20 mm. However, the major drawback of this method lies in that the mathematical models and the rules developed for a specific crusher cannot be easily extended to other ...

The project of the vibration crusher with three degrees of freedom is proposed. The degrees are limited by the guide rails that hold the crusher body and cone against horizontal and spiral motions. The mathematical model for …

A number of experiments were conducted on a laboratory batch impact crusher to investigate the effects of particle size and impeller speed on grinding rate and product size distribution. The experiments involved feeding a fixed mass of particles through a funnel into the crusher up to four times, and monitoring the grinding achieved with each pass. The duration of …

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 process; …

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 ...

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 …

Derived a detailed kinematic model for dynamics of impact crusher swing mechanisms. Analysed impact swing movements after particle impact. Partitioned the analysis …

Such crushers are promising for use in mines to crush rocks laid in the developed space. 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 rocks, was performed in this paper. A differential equation was derived.

This article presents a novel mathematical-physical model for designing and testing a ring armor for vertical shaft impact crusher (VSI) to reduce energy consumption, improve …

It is offered to use automated selection of mathematical model parameters using large- or laboratory-scale experiments instead of deriving parameters from conventional intensive material tests (e.g. drop-weight test). Experimental data were obtained from a large-scale crusher designed and manufactured by the company "Mekhanobr-Tekhnika".

Mechanical model Crusher design Crankshaft system ... The mathematical model's swing system, as previously discussed, is established in a mechanically-idealised environment. The model delves

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 ...

With this case study, the number of variables in the mathematical model becomes less complex and easier to analyze and the findings apply to a broader range of scenarios. Moreover, this mathematical model can be a baseline for subsequent detailed studies. Download: Download high-res image (366KB) Download: Download full-size image; Fig. 5.

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

The paper in simulates and optimizes the shape and size of the crushed product for cone crushers and vertical shaft impact crushers. Mathematical models are used to study the influence of the operating …

Based on the theory of lamination and crushing, this paper delaminates the crushing chamber of the cone crusher and establishes an improved operation model of the crushing process of the …

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 ...

In previous 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 ...

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 rocks ...

DOI: 10.1016/j.rineng.2023.101694 Corpus ID: 266450148; Impact crusher kinematics: The dynamics of an impact swing mechanism as an analytical-mathematical model @article{Kemper2023ImpactCK, title={Impact crusher kinematics: The dynamics of an impact swing mechanism as an analytical-mathematical model}, author={Dietmar Kemper and Eric …

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 rocks,...

Develop a mathematical model of a cone crusher. Identify the effect of plant capacity on the crusher's current and drive power. Find out the crushing process conditions for energy efficiency.

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 ...

2.2. Kinematic model The moving jaw of the crusher is suspended in the link arm at the bottom and in an eccentric bushing at the top. 115 The position of the jaw over time can be determined by

mathematical model of a jaw crusher is an . MODELING WORKFLOWS . 6 ISSN(online)2709-6149. Mining, constructional, road and melioration machines, 10 2, 202 3, 5-16.

Considering the amount of ore uplift further, the traditional mathematical model of crusher productivity was revised. Then, a mathematical model for dual-objective optimization of productivity and product quality of cone crusher was established. Furthermore, taking the existing C900 cone crusher as the research object, the influence of key ...

Applied Mathematical Modelling. Volume 88, December 2020, ... These models 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. However, they do not take into account –as yet ...

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 grain …

In this study, an analytical perspective is used to develop a fundamental model of a jaw crusher. Previously, jaw crushers were modelled in regard to certain aspects, for example, energy consumption (Legendre and Zevenhoven, 2014) or kinematics (Oduori et al., 2015). ... Mathematical modelling of complex systems can be performed in many ways ...

The paper shows the preparation of the numerical models necessary for the simulation mapping of industrial-scale crushers of problematic material, such as copper ore with complex lithology. The crushers investigated in this work are located in the KGHM Polska Miedz S.A. copper ore processing plant. The complex ore consisting of sandstone, dolomite and …