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Mathematical models of open-circuit balling or granulating devices
Industrial & Engineering Chemistry Process Design and Development, 1981Simplified mathematical models have been developed for the steady-state operations of single-pass continuous balling drums and disks. Random coalescence between agglomerates is considered to be the mechanism of pellet growth. Analytical expressions for the moments of the green pellet size distributions have been derived for continuous balling drums ...
Prakash C. Kapur +2 more
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Mathematical Modeling of Friction Force in LM Ball Guides
Journal of the Korean Society for Precision Engineering, 2015Linear motion (LM) ball guides have good accuracy and high efficiency. They are widely applied for precision machinery such as machine tools, semiconductor fabrication machines and robots. However, friction force incurs heat between the balls and grooves. Thermal expansion due to the heat deteriorates stiffness and accuracy of the LM ball guides.
Kwang-Je Oh +3 more
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Mathematical Modeling of High Energy Ball Milling (HEBM) Process
Defect and Diffusion Forum, 2014In the present study the modeling of the HEBM process is presented. The impact velocity, impact angle, rotation speed, mass of balls, ball-to-powder weight ratio and time of milling have been taken into account in order to calculate the energy transferred from the balls to the powder.
Maya Radune +5 more
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Mathematical Model of Double Row Self-Aligning Ball Bearing
Ball bearings are widely used in variety of rotary mechanisms expecting their maintenance-free operation. One of the main factors influencing bearing life is radial internal clearance (RIC), which can be simply described as relative movement of ball and raceway perpendicular to the bearing axis.Bartłomiej Ambrożkiewicz +5 more
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A mathematical model for simulating and manufacturing ball end mill
Computer-Aided Design, 2014The performance of ball end mill cutters in cutting operations is influenced by the configuration of the rake and clearance faces in the ball component. From the mathematical design of a cutting edge curve, the rake face can be defined by the rake angle and the width of the rake face at each cross section along the cutting edge.
Hien Nguyen, Sung-Lim Ko
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W.W. Rouse Ball’s Mathematical Approach to String Figures
2014The Cambridge mathematician Walter William Rouse Ball (1850–1925) devoted a chapter to “String Figures” in his popular book Mathematical Recreations and Essays. This may be the first ever attempt by a mathematician to demonstrate the connection between mathematics and procedural activities such as string figure-making. The epistemological stake of such
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A mathematical model for freezing of calcium alginate gel balls
Journal of Food Engineering, 1994Abstract A heat transfer model is proposed to describe the freezing process of alginate gel balls in a deep freezer. The freezing process consists of three separate stages with each stage being represented by a separate heat transfer equation. The model is much easier to use than solving a more complicated problem with a moving freezing front ...
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Controller comparison and mathematical modelling of ball and beam system
INNOVATION & DEVELOPMENT IN ENGINEERING AND APPLIED SCIENCES, 2020El presente proyecto muestra una comparación entre tres técnicas de control aplicadas en el sistema de bola y barra, en el cual una barra es girada usando un motor y esta rotación hace que una esfera ruede sobre la barra hasta alcanzar la posición deseada.
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Mathematical modelling analysis of deep groove ball bearing with misalignment
Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body DynamicsDeep groove ball bearing is prone to misalignment due to installation and long-term use, which requires research on the frequency characteristics and evolution mechanism excited by misalignment. This article first outlines a mathematical model of a rotor supported at both ends, which is used to describe the multi-body vibration mechanism of bearing ...
Xing Yuan, Hui Liu, Huijie Zhang
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Mathematical model of a ball mill
Soviet Mining Science, 1980V. R. Kovalyukh, M. B. Gud
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