Dissertation Roller Bearing

8/12/2019 Dissertation Roller Bearing

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Static analysis of an angular contact ball

bearing using nite element method

A DISSERTATION STAE !

Submitted in partial fulllment for the award of

"ASTERS O# TE$%NO&O'

IN

"E$%ANI$A& ENINEERIN

BY

(AND'A (ART% ")

GUIDE

(rof) D) )*+",%AR

DE(ART"ENT O# "E$%ANI$A& ENINEERIN

,%ARATI -ID'A(EET% +NI-ERSIT'

$O&&EE O# ENINEERIN

(+NE . /!!0/1

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,harati -idya2eeth Deemed +ni3ersity

$ollege of Engineering4 (une . /!!00/1

$ERTI#I$ATE

This is to Certify that r! "andya "arth ahesh#umar ha$e %arried out a

pro&e%t Dissertation Sta'e(I report entitled on) *Stati% analysis of an

an'ular %onta%t ball bearin' usin' nite element method+ in %olle'e is

submitted by in partial fulllment of the re,uirements for the award of

de'ree of aster of En'ineerin' in e%hani%al -C.D/C.0 %ourse of

Bharati idyapeeth Deemed Uni$ersity) Colle'e of En'ineerin') "une at

%olle'e durin' a%ademi% year 2312(2314!

Date5

"rof! D! G! 6umbhar "rof!

!6!6ur#ute

Guide

"G Co(ordinator

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"rof! Srini$asan E7aminer Dr! . 8!

Bhalerao

9ead of the Department

"rin%ipal

A$*NO5&EDE"ENT

It is my proud pri$ile'e to e7press my profound 'ratitude towards

my pro&e%t 'uide "rof! D! G! 6umbhar for their %onstant and e7,uisite

'uidan%e throu'hout the %ompletion of this pro&e%t dissertation sta'e(I

wor#!

I ta#e opportunity to than# our 'uide and head of the department

"rof! Srini$asan for his %onstant 'uidan%e and all sta: members for

en%oura'in' ta#in' up this pro&e%t!

;astly) I would not hesitate to than# my friends for %onstant help

and Co(operation 'i$en to me!

"r) (andya (arth

"ahesh6umar E7am Seat No)

!8!!/900!0

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A,STRA$T

In this study the static analysis of an angular contact ball bearing using FiniteElement Method is investigated. The main goal is to find the most important influencing

parameters for radial stiffness of the bearing under an axial load.

The second goal of this study is to simplify this angular contact ball bearing using beam

element between the inner and outer ring to reduce the number of nodes and shorten the

calculation time. For this specific ball bearing, it is possible to use a beam star structure

with !" beams. #lthough it has an e$uivalent stiffness as the bearing with ball, for some other

%ind of bearing and the angular contact ball bearing with different geometry si&e, furtherinvestigation should be carried out.

Keywords:.n'ular %onta%t ball bearin') Sti:ness


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INDE:

1! Introdu%tion

1!1 Introdu%tion to rollin' bearin's

>(?

1!2 Basi% types of rollin'

@(13

2! A$er$iew of the pro&e%t

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4! ethodolo'y11=! Con%lusion

14! 8eferen%es

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1. INTRODUCTION

1.1 Introduction to Rolling Bearings

The term rolling bearing( includes all forms of roller and ball bearing which permit

rotary motion of a shaft. )ormally a whole unit of bearing is sold in the mar%et, which

includes inner ring, outer ring, rolling element *balls or rollers+ and the cage which

separates the rolling element from each other.

olling bearings are high precision, low cost but commonly used in all %inds of rotary

machine. It ta%es long time for the human being to develop the bearing from the initial

idea to the modern rolling bearing which can be seen from Fig.!-!.

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Figure !.! /istory of 0earing.

The reason why bearing is used is that first it can transfer moment or force. 1econdly

and maybe more important is that it can be interchanged easily and conveniently when it2s

bro%en. In the mechanical system shown in Fig.!-", it is also possible to amount the shaft

directly with housing. /owever, when this mechanism has some problem, the only possibility

to recover the function of this system is to replace the housing or the shaft. From the

mechanical engineer point of view, both of them are not only very expensive but also time

consuming to manufacture a new housing or shaft with the same parameters.

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Figure !.5 9eep :roove 0all 0earing

9eep groove ball bearing as shown by Fig. !-5 is the more popular rolling bearing.

)ormally, this %ind of bearing is used to support only radial load. The deep groove ball

bearing has high load-carrying capacity because it has high osculation and relatively

large ball diameter.

;hen the mechanical systems are expected to support radial and axial load, then

angular contact ball bearing must be used. The load carrying capacity of angular contact

ball bearing depends on the magnitude of contact angle . The Fig.!-6 shows us the

geometry of angular contact ball bearing. The bearings with large contact angle can

support more axial load. Fig.!-6 exhibits us the angular contact ball bearings with

different contact angle .


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Figure !.6 :eometry of an #ngular


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oller bearings are used for systems which re$uire exceptionally large load-carry

capacity but cannot feasibly be obtained by ball bearing. oller bearings are normally

much stiffer structures than the ball bearing with a comparable geometry si&e and they

can provide greater fatigue endurance as well. /owever they are more expansive than the

ball bearings because it is more difficult to manufacture and assemble.

Figure !.> oller 0earing

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2. OVRVI! O" T# $RO%CT

1imulation with exact geometry of ball bearing through basic #)1?1 wor% flow will

be perform. Firstly the procedures to create the model will be described. 1econdly some

basics settings for contact will be given. Thirdly the influencing factors which affect the

reaction force will be investigated and finally the reasonable reference reaction force for

this angular contact ball bearing will be attained.

The contact analysis will be discussed. The meaning of some important contact items,

the behavior of contact and the principle of different contact algorithms will be

explained. 1ome simple but important examples will also being given in order to get

better understanding about contact problem.The simulation of simplified model will be carrying out. The ball will be simplified

with beams between the inner ring and outer ring. Firstly possible or reasonable solutions

to simplify the model will be discussed. 1econdly solving the simplified model under

certain boundary condition will be performed. Finally results of model with beam and

with ball will be compared. The possible number of beams and the radius of each beam

will be figured out as well.

&. 'T#ODO(O)*

1 =iterature study of different approaches to model roller bearings.

2 1et-up of a 5-9 reference FE-model.

& Identification of the main source for the non-linearity of roller bearings.

+ 9efine of a simplified bearing model *using beam element+

, @alidation and recommendations for the use of simplified bearing model.

&.1 -$CI"ICTION

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1pecification will be decide as per the study wor% done

Test set up To find the reasonable reference reaction force from the outer ring to the inner

ring by means of FEM simulation and instead of using ball, to simplify the rolling bearing

with some other elements between the inner and outer ring.

&.2 !OR/ $(N

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A$TI-IT

'

DIS$+SSION

5IT%#IE&D

E:(ERTS

#E"ODE&

O#AN+&AR$ONTA$T,A&&

,EARIN

,EARIN

E:(ERI"ENTA&(RO$ED+RE

$OND+$TIN

E:(ERI"ENTS

RES+&T

ANA&'SIS

RESEAR$%(+,

&I$ATION

T%ESIS

5RITIN

T%ESSISS+,"ISSION

+. CONC(U-ION

0pected Results

This pro4ect will help to find the reference reaction force from the housing to the outer

ring of angular contact ball bearing under axial load. /ere different influencing factorsincluding physical and numerical aspect for the reaction force from the housing to the outer

ring by solving FE model of this specific angular contact ball bearing are gained as well. For

the future study it is also very important to simulate the dynamic behavior of rolling bearing

using FEM. :enerally many rolling bearings are used in high speed machines. For the high

speed machinery, the vibration and noise are two challenging problems which are normally

from the bearing. /ence in the future it is of great importance to investigate the dynamic

behavior of rolling bearing so that one can predict the system vibration responses and

minimi&e the noise level.

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,. R"RNC-

!. #merican 1ociety of Mechanical Engineers*!AB>+, Transactions of the #merican

1ociety of Mechanical Engineers, "C, #merican 1ociety of Mechanical Engineers,

p. 66!.

". 0ryan 0unch, The history of science and technology.

5. 1teven 0la%e 1hubert, Encyclopedia of the archaeology of ancient Egypt6. http77www.%mlbearing.cn7common7catalogDdata7B!7B!B!7B!B!B!7B!B!B!B!7imageDB

!B!B!B!Db.gif

8. http77www.s%f.com7s%[email protected]

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http://en.wikipedia.org/wiki/American_Society_of_Mechanical_Engineershttp://books.google.com/books?id=aWd1G50m8WEC&pg=RA1-PA441http://books.google.com/books?id=aWd1G50m8WEC&pg=RA1-PA441http://books.google.com/books?id=aWd1G50m8WEC&pg=RA1-PA441http://books.google.com/books?id=aWd1G50m8WEC&pg=RA1-PA441http://en.wikipedia.org/wiki/American_Society_of_Mechanical_Engineers


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Dissertation Roller Bearing

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