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Mathematical Modeling of Ball-End Cutter
Applied Mechanics and Materials, 2013The ball-end cutter plays an important role in machining free-form surfaces due to its adaptability to a surface. It is widely used in aerospace, automobile, and die/mode industries. Thus, the demand for higher cutting performance and lower cost of the ball-end cutter has been increasingly focused.
Jung Fa Hsieh, Fu Shou Wang
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Exploring the Mathematics of Bouncing Balls
The Mathematics Teacher, 2010Simple equipment—stopwatches, tape measures, and golf balls—allows students to explore geometric sums and quadratic equations and analyze experimental data.
Natalya Vinogradova, Larry G. Blaine
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Ceramic ball pen and mathematical modelling
International Journal of Materials and Product Technology, 2010In pen industry, ball pens are becoming more and more popular and its market is growing bigger. However, the technology concerned with ball pens, especially gel ink ball pens, is not mature yet. In this paper, several factors influence the performance of ball pens are taken into account.
Ke Zeng, Jinlong Yang, aoqing Xi
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Mathematical Exploration: Tennis Balls, Lines, and Geometric Transformations
Mathematics Teaching in the Middle School, 2010Activities that use linear data as a model will help students understand linear functions. In this activity, students collect data and make connections to concepts used in geometry and measurement. Rather than teaching introductory algebra and geometry, this activity is intended to serve as a culminating task to reinforce material already learned.
Sharon E. Taylor, Kathleen Cage Mittag
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Mathematical modeling of closed cycles of ball grinding
Soviet Mining Science, 1986Principles of the mathematical description of the grinding process have been developed which make use of linear models of population balance and substitute for the real distribution of the time of grain processing inside the mill a combination of ideal extrusion and ideal mixing.
E. F. Morozov, V. K. Shumailov
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Mathematical modeling of predictive grinding for ball mill
2016 IEEE Region 10 Conference (TENCON), 2016The aim of this work is to design a mathematical model for deriving acoustic signatures by analyzing the sound of a ball mill in its load varying conditions. The paper establishes an appropriate mathematical background that helps to predict dynamic breakage characteristics with respect to particle size distribution of different types of material ...
Sonali Sen, Arup Kumar Bhaumik, Jaya Sil
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On Ball's History of Mathematics
The American Mathematical Monthly, 1902(1902). On Ball's History of Mathematics. The American Mathematical Monthly: Vol. 9, No. 12, pp. 280-283.
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A Mathematical Analysis of the Ball-Burnishing Process
CIRP Annals, 1983Summary The ball-burnishing or ballizing process consists of forcing a slightly oversized ball through a ore-machined hole. This process yields good improvement in surface finish and roundness and at the same time the hole is sized up to within close tolerances of the ball.
A.Y.C. Nee, V.C. Venkatesh
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Novel mathematical model to estimate ball impact force in soccer
Sports Biomechanics, 2017To assess ball impact force during soccer kicking is important to quantify from both performance and chronic injury prevention perspectives. We aimed to verify the appropriateness of previous models used to estimate ball impact force and to propose an improved model to better capture the time history of ball impact force.
Takahito Iga +4 more
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