Application of Generalized Reduced Gradient Method for Optimization of Plunge Centerless Grinding Process

y I i n iJS © 201.5 IJSRSETI Volume 1 | Issue 2 | Print ISSN : 2395-1990 | Online ISSN : 2394-4099

Themed Section: Engineering and Technology

Application of Generalized Reduced Gradient Method for Optimization of

Plunge Centerless Grinding Process

Do Due Trung1', Ngo Cuong1, Phan Bui Khoi2, Tran Quoc Hung3

'College of Economics and Technology, Thinh Dan ward, Thai Nguyen city, Viet Nam

2School of Mechanical Engineering, HUS, No. 1, Dai Co Viet, Ha Noi, Viet Nam

3Ha noi university of Industry, Ha Noi, Viet Nam

Corresponding author: [email protected]

ABSTRA CT

This paper presents the study on optim ization o f plunge centerless grinding param eters w hen grinding 20X

-carbon infiltration steel (TOCT standard - Russia) to achieve m inim um o f surface roughness value. Using

the result o f 29 runs in central com posite design m atrix with input param eters are center height angle o f

the workpiece ( j3 ), longitudinal grinding wheel dressing feed-rate ( S ,.d ), plunge feed-rate ( S k ) and

control wheel velocity ( vdd ) to given the second order surface roughness m odel. U sing generalized

reduced gradient m ethod to get optim ization values o f input param eters to achieve m inim um o f surface

roughness.

Keywords: Plunge centerless grinding, optim ization, generalized reduced gradient, surface roughness,

20X steel

I. INTRODUCTION

Centerless grinding is w idely used in industry for

precision m achining o f cylindrical com ponents

because o f its high production rate, easy

autom ation, and high accuracy. To im prove the

centerless grinding process, it is necessary to

optim ize surface roughness, the m ost critical quality

constraints for the selection o f grinding factors in

process planning.

Researches on the optim ization o f centerless

grinding process w ere published by som e authors:

M inim izing the surface roughness and roundness

errors o f w orkpiece by selecting the optim ization

levels o f control w heel speed, feed rate and depth o f

cut [1]. M inim izing the roundness error o f

w orkpiece and carrying out the regression analysis

to m odel an equation to average out roundness error

[2], Predicting the set-up conditions to analyze the

dynam ic and geom etrical instabilities, m aking it

possible to study the influence o f different m achine

variables in stability o f the process [3]. M inim izing

the surface roughness by developing an em pirical

m odel for it [4], M inim izing the lobing effect by

developing a stability diagram for w orkpiece and

thereby selecting the grinding param eters and

having found out that the characteristic root

distribution o f the lobing loop is periodic [5],

Investigating the w orkpiece roundness based on

process param eters by both sim ulation and

experim ental analysis and finding out that a slow er

w orktable feed rate and a faster w orkpiece

rotational speed result in better roundness error [6].

M inim izing the roundness error o f w orkpiece by

selecting the optim ization levels o f dressing feed,

grinding feed, dwell tim e and cycle tim e [7].

IJSRSET 1522107 [Received: 01 April2015 | Accepted: 09April2015 | March-April2015 [(1)2: 368-372] I 368 I