Gaussian processes in ball bearing prognostics

Gaussian Processes : Karhunen - Loève Expansion , Small Ball

In this dissertation, we study the Karhunen-Loève (KL) expansion and the exact L small ball probability for Gaussian processes. The exact L small ball probability is connected to the Laplace transform of the Gaussian process via Sytaja Tauberian theorem. Using this technique, we solved the problem of finding the exact L small ball estimates for the Slepian process S(t) defined as S(t) = W (t+a)...

Gaussian Processes: Inequalities, Small Ball Probabilities and Applications

Small Ball Problem via Wavelets for Gaussian Processes

The recently developed theory of wavelets is used to estimate small ball probability for a class of Gaussian processes including d-dimensional fractional Brownian motion.

Ball-Bearing Motor

The discovery/invention of the ball-bearing motor is attributed to Milroy [1]. It has been discussed several times, with conflicting explanations [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]. This solution is a much simplified version of that given in [7]. Because the motor is weak, it is helpful to reduce friction on the axle by connecting the high-current lead to the outer races of the ba...

B Ball Bearing ▶ Bearing Bar Extrusion

Introduction Bar extrusion is a process in which a block of metal (billet) is forced to flow by compression through a tool (die) opening of a smaller crosssectional area than that of the original billet. There are two basic types of bar extrusion: direct and indirect. The most important and common method used is the direct extrusion (Lange 1988). Figure 1 shows the principle of direct bar extru...