Infinitesimal, first order bendings of smooth, convex surfaces of revolution subject to conic, sleeve-like constraints along the boundary

1991 ◽  
Vol 53 (5) ◽  
pp. 463-467
Author(s):  
G. M. Allaev ◽  
V. I. Mikhailovskii
Keyword(s):  
Smooth Convex ◽  
Surfaces Of Revolution ◽  
Convex Surfaces ◽  
First Order

First-order methods of smooth convex optimization with inexact oracle

2013 ◽  
Vol 146 (1-2) ◽  
pp. 37-75 ◽  
Author(s):  
Olivier Devolder ◽  
François Glineur ◽  
Yurii Nesterov
Keyword(s):  
Convex Optimization ◽  
Smooth Convex ◽  
First Order ◽  
Inexact Oracle ◽  
Smooth Convex Optimization ◽  
First Order Methods

Wheel-Wear Compensation for Numerical Form Grinding

1986 ◽  
Vol 108 (1) ◽  
pp. 16-21 ◽  
Author(s):  
T. Giridharan ◽  
R. C. Dix ◽  
S. Nair
Keyword(s):  
Method Of Characteristics ◽  
Grinding Wheel ◽  
Surfaces Of Revolution ◽  
Wheel Wear ◽  
Closed Form Solutions ◽  
First Order ◽  
Grinding Wheel Wear ◽  
Form Grinding ◽  
Wheel Profile ◽  
Wheel Wear Compensation

A new method for reducing the effect of grinding wheel wear on workpiece inaccuracy in numerically controlled form grinding of surfaces of revolution is proposed and analyzed. A mathematical model to describe wheel wear and contour production is developed for the grinding of a cyclindrical surface. The model results in a first-order hyperbolic differential equation for the radius of the wheel profile as a function of time and position. This equation is solved numerically using the method of characteristics. Closed-form solutions are also presented for a simplifed version of this equation. Pertinent results, such as reduction in the error in the workpiece radius, are presented to demonstrate the effectiveness of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document