packaging design, weld fatigue analysis and validation of

12
Mechanical Engineering Research; Vol. 8 No. 2; 2018 ISSN 1927-0607 E-ISSN 1927-0615 Published by Canadian Center of Science and Education 36 Packaging Design, Weld Fatigue analysis and Validation of Diesel Exhaust After-treatment System Sonal Nareddiwar 1 , Tapobrata Dey 1 & R. Sunilkumar 2 1 Department of Mechanical Engineering, D Y Patil College of Engineering, Akurdi, 411044, Savitribai Phule Pune University, India 2 Cummins Technologies India Ltd., Pune, India Correspondence: Tapobrata Dey, Department of Mechanical Engineering, D Y Patil College of Engineering, Akurdi, 411044, Savitribai Phule Pune University, India. E-mail: [email protected] Received: August 9, 2018 Accepted: October 26, 2018 Online Published: November 30, 2018 doi:10.5539/mer.v8n2p36 URL: https://doi.org/10.5539/mer.v8n2p36 Abstract Diesel exhaust after treatment system is usually designed to meet stringent packaging constraints and emission norms. After treatment packaging has critical impact on the overall system efficiency and durability since many components in exhaust systems have welded joints. An after treatment inlet and outlet tube joints, connected to engine outlet and Original Equipment Manufacturer (OEM) tailpipe respectively are subjected to vibrations and bending moment leading to fatigue failure at the inlet/outlet welded joints. It has been observed over the years that the prevailing failure modes in after treatment systems are cracked welds at joints between inlet tubes and flanges, outlet tubes and connecting tailpipes. Fatigue failure is a complex and progressive form of local damage which occurs in welded components of exhaust after-treatment systems. Thus, this fatigue failure needs to be estimated accurately and at the early stage of design to save cost and time. But due to geometrical irregularities, compact packaging design and load transfer conditions, it becomes difficult to estimate accurate fatigue strength of the welded areas. Thus weld fatigue analysis, a high cycle fatigue test to validate inlet/outlet module of exhaust system against dynamic overturning bending moment and to calculate the location of minimum weld fatigue life within the inlet welded joints is performed. Weld fatigue analysis uses advanced fatigue assessment technique, BS 7608, Stress x Life (S x N) approach for accurate and precise estimation of welds. The present work deals with reducing the package volume of the after treatment system by applying different concepts, verifying design robustness by FEA simulation using ANSYS 18.2 and validating the structural durability of the system by testing. The objective of the present work is to estimate the fatigue life of the welded structures precisely and accurately, calculate the threshold bending moment to determine whether the design is robust to the bending moment loads seen over course of its life and make design modifications as per simulation result. Further the FEA and testing results of weld fatigue analysis are correlated. Keywords: Fatigue Analysis, After-treatment system, Fatigue life, Stress-based approach, packaging design 1. Introduction The diesel engine has the merits of high power output, low fuel consumption and excellent longevity. However, the fuel lean combustion also generates significant amount of hazard emissions, such as oxides of nitrogen and particle matters, exposure of which increases the risk of respiratory infection, heart problems, premature death and lung cancer. 2. Design Procedure Hence regulation on diesel engine emission has become more and more stringent, leading to a large volume of diesel aftertreatment catalysts. Catalyst packaging becomes a challenging task for diesel aftertreament system design. The criteria for an optimal packaging design are to: (1) fit large catalysts into the limited space of the vehicles, and (2) maintain the well utilization of packed catalysts. As emission regulations are getting stringent day by day, it is also leading to lighter and compact vehicles. The after treatment system is designed to be mounted either on engine or on chassis. Also while designing an after treatment system, it is needed to check the available space according to the mounting strategy. As per OEM space claim requirement, different concepts for compact packaging design are generated during brain storming sessions with the cross functional team. Using Pugh matrix, one best concept for

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Page 1: Packaging Design, Weld Fatigue analysis and Validation of

Mechanical Engineering Research; Vol. 8 No. 2; 2018 ISSN 1927-0607 E-ISSN 1927-0615

Published by Canadian Center of Science and Education

36

Packaging Design, Weld Fatigue analysis and Validation of Diesel Exhaust After-treatment System

Sonal Nareddiwar1, Tapobrata Dey1 & R. Sunilkumar2 1 Department of Mechanical Engineering, D Y Patil College of Engineering, Akurdi, 411044, Savitribai Phule Pune University, India 2 Cummins Technologies India Ltd., Pune, India Correspondence: Tapobrata Dey, Department of Mechanical Engineering, D Y Patil College of Engineering, Akurdi, 411044, Savitribai Phule Pune University, India. E-mail: [email protected] Received: August 9, 2018 Accepted: October 26, 2018 Online Published: November 30, 2018 doi:10.5539/mer.v8n2p36 URL: https://doi.org/10.5539/mer.v8n2p36 Abstract Diesel exhaust after treatment system is usually designed to meet stringent packaging constraints and emission norms. After treatment packaging has critical impact on the overall system efficiency and durability since many components in exhaust systems have welded joints. An after treatment inlet and outlet tube joints, connected to engine outlet and Original Equipment Manufacturer (OEM) tailpipe respectively are subjected to vibrations and bending moment leading to fatigue failure at the inlet/outlet welded joints. It has been observed over the years that the prevailing failure modes in after treatment systems are cracked welds at joints between inlet tubes and flanges, outlet tubes and connecting tailpipes. Fatigue failure is a complex and progressive form of local damage which occurs in welded components of exhaust after-treatment systems. Thus, this fatigue failure needs to be estimated accurately and at the early stage of design to save cost and time. But due to geometrical irregularities, compact packaging design and load transfer conditions, it becomes difficult to estimate accurate fatigue strength of the welded areas. Thus weld fatigue analysis, a high cycle fatigue test to validate inlet/outlet module of exhaust system against dynamic overturning bending moment and to calculate the location of minimum weld fatigue life within the inlet welded joints is performed. Weld fatigue analysis uses advanced fatigue assessment technique, BS 7608, Stress x Life (S x N) approach for accurate and precise estimation of welds. The present work deals with reducing the package volume of the after treatment system by applying different concepts, verifying design robustness by FEA simulation using ANSYS 18.2 and validating the structural durability of the system by testing. The objective of the present work is to estimate the fatigue life of the welded structures precisely and accurately, calculate the threshold bending moment to determine whether the design is robust to the bending moment loads seen over course of its life and make design modifications as per simulation result. Further the FEA and testing results of weld fatigue analysis are correlated. Keywords: Fatigue Analysis, After-treatment system, Fatigue life, Stress-based approach, packaging design 1. Introduction The diesel engine has the merits of high power output, low fuel consumption and excellent longevity. However, the fuel lean combustion also generates significant amount of hazard emissions, such as oxides of nitrogen and particle matters, exposure of which increases the risk of respiratory infection, heart problems, premature death and lung cancer. 2. Design Procedure Hence regulation on diesel engine emission has become more and more stringent, leading to a large volume of diesel aftertreatment catalysts. Catalyst packaging becomes a challenging task for diesel aftertreament system design. The criteria for an optimal packaging design are to: (1) fit large catalysts into the limited space of the vehicles, and (2) maintain the well utilization of packed catalysts. As emission regulations are getting stringent day by day, it is also leading to lighter and compact vehicles. The after treatment system is designed to be mounted either on engine or on chassis. Also while designing an after treatment system, it is needed to check the available space according to the mounting strategy. As per OEM space claim requirement, different concepts for compact packaging design are generated during brain storming sessions with the cross functional team. Using Pugh matrix, one best concept for

Page 2: Packaging Design, Weld Fatigue analysis and Validation of

mer.ccsenet

compact pmodel for After desiinterferencfit check ocompared

3. Weld SThin stainincreasingstrength immost criticanalyzing assessing f2001). Thdistributioplastic behStructural concentratlocations s(Wei, YanFor analyzassessmenThe fatiguare classifprobabilitiThe curveequation (f

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ction of the staer of standard

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done to verifys and keeping im OEM. Therrall system len

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on of the fatigum the mean

Engineering Re

37

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y CAD model

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Vol. 8, No

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Page 3: Packaging Design, Weld Fatigue analysis and Validation of

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transformed ineld fatigue life uts: or weld fatigue

CAD models, lient Magnitude er of cycles = ssible probabiliteria: r acceptable anmptions: gue life calculaach with d=2 (2ffects are not cation between pesidual stress d

Mechanical

iterion” and ise if it is below tfatigue curvesstress-life (SN

d fatigue curve

atigue from B

d evaluation ofurves due to cansensitivity in s

fatigue test is unt. This analyswill be mesh-

metry of a compe weld strengas compared to

match the loadinic analysis is ru

nto the equivalbased on Mas

e analysis is moiners material p= 320Nm 1 million lity of failure =

nd safe design

ations are done2.2% of probabonsidered in thparts is assumedue to forming

Engineering Re

38

s expressed as the mean line

s given in varN) curves in BSes for a specifi

S 7608 for var

f welded jointsapability of constress determin

used to validatsis is used to insensitive, reponent is reaso

gth determineso ultimate tensng and constraun on each fin

lent structural ster S-N curve.

oment magnituproperties and

= 2.2 %

is 1e6 cycles a

e by considerinbility of failurhe simulation ed not to occurwill have little

esearch

number of sta(BS7608, 1993

rious weld fatiS7608 are definfic weld class

rious Probabili

s are primarily nsistently captunation at welds

te after treatmeevaluate life o

egardless of eleonably represes the assemblysile strength oaint conditionsite element mo

stress range an.

ude, number ofd boundary con

at 2.2% probab

ng steel materie).

r, justifying a le effect on me

andard deviatio3). igue methods

ned by standardwith varied pr

ities of Failure

carried out bauring the stress.

ent module inlof weld in termement size, eleented in a finitey strength andf the parent m

s of the physicaodel to determi

nd are fed as i

f cycles, perminditions.

bility of failure

ial properties o

linear model. an stress.

Vol. 8, No

ons from the m

are provided d deviations awrobabilities of

e (BS7608, 199

ased on structurss concentratio

lets and outletms of life cycement type, inte element modd also tolerab

material. Finite al tests, and thine the stresse

input in Fe-Sa

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of weld class F

o. 2; 2018

mean life.

with an way from

survival

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ral stress n effects

s against cles. The tegration

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en tested s present

fe which

lity of

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Page 4: Packaging Design, Weld Fatigue analysis and Validation of

mer.ccsenet

e) V

f) Sh

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In Fatiguethickness modelled uthe locatio

• WFatigue andrawings, welds. TheFigure 4 an

Table I. W

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Variation in thi

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Sensor bosses aImporting CA analysis, inletand extractingusing 4-node s

on of the weld

Weld details: nalyses of welthe details of

e weld betweend Table I sho

Weld Details of

ckness during

ations due to wle effect on da

are not weldedD geometry ant/outlet tube Cg mid surfacesshell elements.toes. Figure 3

Figure

ldments requirf different weldn inlet tube an

ows the weld d

Figur

f Inlet Tube JoiWeld Loca

Weld-1Weld-2Weld-3Weld-4Weld-5Weld-6Weld-7

Mechanical

forming opera

welded bosses amage. d in FE model. nd Solid to she

CAD model is is. The concern. The nodes ofshows the CA

e 3. CAD geom

re detailed knded areas are

nd surroundingdetails of inlet/o

re 4. Weld deta

int ation 1 W2 We3 4 5 6 Weld b7 Weld

Engineering Re

39

ation is neglec

and forces fro

Bosses share bell conversion:imported and cned welded arf the shell elem

AD geometry o

metry of inlet/o

owledge of thsought and ac

g components aoutlet tube join

ails of the inlet

Weld Weld between inleeld between inlet t

Weld between heWeld betweenWeld between

between inlet 2nd fd between inlet 2nd

esearch

ted.

om the accelera

bonded contac: converted intoreas whose fat

ments representf inlet tube ass

outlet sub-mod

he stress fieldsccordingly diffare modeled bynt.

t tube sub-mod

Name et tube and Marmotube and inlet flaneat shields at inlet flanges at inlet n Heat shields flange and 2nd head flange and outer

ation of wire, s

ct with parent b

o shell body bytigue life needting the weld asembly.

dule

s in critical referent shell boy using vertica

dule

on nges t

at shield r body

Vol. 8, No

straps, and insu

bodies.

y assigning appds to be evaluare offset (by t

egions. From todies are connal and inclined

o. 2; 2018

ulation

propriate uated are t/2) from

the weld ected by areas.

Page 5: Packaging Design, Weld Fatigue analysis and Validation of

mer.ccsenet

• MIn Fatigueelements aTable II sh

Table II. D

• DContacts acontact typbodies bec

• It is assumand weld m

Table III: M

t.org

Meshing: e analysis, in thare less stiff anhows the mesh

Discretization d

Defining Contare defined so tpes, bonded cocause that allow

Assigning Mamed that the inlmaterial are as

Material Prope

he critical areand give realist

hing details.

details Element

3mm

tacts: that the bodies ontacts and Nows for rigid for

aterial Propertilet/outlet sub-msumed to be S

erties

Mechanical

as such as welic and accurat

Figure 5. Mes

Size Element m Quad4

Shell 1

stay in load trao-separation corce transfer. Fi

Figure

ies: module and all

SS409 and prop

ComponenElastic Modulus

Density, ƍ (kgYield Strength

Poisson’s r

Engineering Re

40

lded areas, verte results. Shel

shed inlet tube

type No. of No4 81

10726

ansfer path andontacts are of ligure 6 shows

e 6. Contact de

l other parts boperties are liste

nt Frame – Materia, E (MPa) g/m^3) h, (MPa) ratio

esearch

ry fine mesh oll 181 element

sub-module

odes No. of Ele3 13107

d offers realistilinear types wthe contact de

etails

oth are manufaed in Table III

al SS409 2.06e+5

7750 240 0.28

of quad elemets are used for

ements 73

ic force distribuwhich are used etails.

factured from S.

Vol. 8, No

ents is used. Ameshing. Figu

ution. Among for connecting

SS409. Both th

o. 2; 2018

lso quad ure5 and

different g various

he parent

Page 6: Packaging Design, Weld Fatigue analysis and Validation of

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• 2 load stegeometricainvestigatemoment. Torthogonalsuperposedcycle. Fixed Supbody of thapplied to

Remote foshown in F

5. SimulatThe FEA r

t.org

Application oep approach: Mal configuratioe the influenceThe first step l input loadingd in Fe-safe to

ports: In Weldhe inlet subasse

constrain the e

orce: Also a reFig 8. Remote

tion Results results for the

f Loads and BMulti-axial strons. Thus, thee of the loads, in the Weld f

gs 1 m out fromo simulate the

d fatigue analyembly to simuexerting forces

emote force offorce is consid

1st iteration are

Mechanical

oundary condiress is always multi-axial etwo loading c

fatigue analysim the weld plloading of ea

ysis, fixed suppulate the forcess and fix the m

Figure 7. App

f 320N is appldered to be rig

Figure 8. App

e shown in Tab

Engineering Re

41

itions: s present in tffect on fatiguases are consiis is creating ane. The stres

ach element ov

ports are applis exerted by fix

model to avoid

plication of Fix

lied at 1000 mgid because of

plication of Re

ble IV.

esearch

the welded coue life should dered: axial tetwo load steps fields from t

ver the weld su

ied at 45° on txture at the timdeformation a

xed supports

mm distance tothe rigid conne

emote force

omponent withbe considered

ension load andps in ANSYS, these static solurface through

the top and botme of testing. at that location

o create momeections.

Vol. 8, No

h or without d properly. In d out of plane corresponding

lutions will behout the entire

ttom sides of tThe fixed suppas shown in F

ent on the inlet

o. 2; 2018

complex order to bending

g to two e linearly e loading

the outer ports are

Fig 7.

t tube as

Page 7: Packaging Design, Weld Fatigue analysis and Validation of

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Table IV. FWe

Since weldthe accepta The Table Table V. F

We

Remove skincreased fThus, good

• Static analThe outpucreated byrespective bending m

t.org

FEA RESULTeld Location

Weld-1 Weld-2 Weld-3 Weld-4 Weld-5 Weld-6 WWeld-7 W

d 2 fails in 1st ance criteria.

V shows the 6

Fea results for eld Location

Weld-1 Weld-2 Weld-3 Weld-4 Weld-5 Weld-6 WWeld-7 W

Design modifkip weld and further, the wed to go with th

M-N curve plolysis results are

ut outlined in thy Fe-safe. This

number of fatimoment.

TS FOR 1st ITW

Weld between Weld between in

Weld betweeWeld betwWeld betw

eld between inlet Weld between inle

iteration, seve

6th iteration wi

6th iteration W

Weld between Weld between in

Weld betweeWeld betwWeld betw

eld between inlet Weld between inle

fications: apply full weleld fails. he iteration 6 d

ot: e read in Fe-sahis paper is a preveals the pe

igue life cycles

F

Mechanical

TERATION Weld Name

inlet tube and Manlet tube and inlet en heat shields at i

ween flanges at inlween Heat shields2nd flange and 2nd

et 2nd flange and o

eral design mod

ith design mod

Weld Name inlet tube and Ma

nlet tube and inlet en heat shields at i

ween flanges at inlween Heat shields2nd flange and 2nd

et 2nd flange and o

ld at weld 2 an

design.

afe for fatigue plot of stress ‘neak to peak stres is plotted in th

Figure 9. M-N

Engineering Re

42

Noarmon flanges

inlet let s

d heat shield outer body

difications we

difications pass

Noarmon flanges

inlet let s

d heat shield outer body

nd also the tub

life calculationnormal to the wess range expehe Fig 9 as M-N

Curve for Inle

esearch

o. of life cycles wi

re done and an

sing the accept

o. of life cycles wi

be length is in

n using BS 76weld toe’ over

erienced by a wN curve which

et sub-Module

ith 2.2 % probabil2.5 E+06

7.20 E+05 6.04 E+06

2.51 E+06 1.2 E+06 2.27 E+06 1.64 E+06

nalysis was run

tance criteria.

ith 2.2 % probabil3.17 E+06 1.18 E+06 5.12 E+06

2.87 E+06 1.2 E+06 2.07 E+06 1.64 E+06

ncreased by 6%

08 approach. r the course ofweld. The bendh is further used

Vol. 8, No

ity of failure (d=2

n until the wel

ity of failure (d=2

%. If the tube

f a single loadiding moment vd to calculate t

o. 2; 2018

2)

ld passes

2)

length is

ing cycle versus its hreshold

Page 8: Packaging Design, Weld Fatigue analysis and Validation of

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• ThrlifeBen= 3333

• F

Fig 10 sho1E06 life cFatigue lifwelded joithe most crbetween hethese simulife cycles as per FEAmoment.

t.org

Calculation ofreshold bendine of the componnding moment33.74 Nm

3.74Nm bendinFatigue life plo

ows the fatigue cycles. fe plots for all wints of the currritical and proneat shield and f

ulation results iwithout failur

A results, inlet

f threshold benng moment is tnent. t required for 1

ng moment is tots of various

Figure 10

life plots for th

welded joints irent inlet tube dne to failure joflange having infer that with re. The probabitube design ha

Mechanical

nding momentthe moment ap

1 million life c

to be applied tcritical welds

(a)

(c)

(e)

0. Fatigue Life

he welded join

in the inlet subdesign have faints are weld 2fatigue life 1.297.8% confideility of three saas safe fatigue

Engineering Re

43

: pplied to get th

ycles of inlet t

to get 1 Millionat inlet tube jo

e plots for all w

nts in inlet sub

b module are shatigue life more2, at inlet tube a2 million meet ence interval (damples survivilife and is stru

esearch

he maximum f

tube = 27379 x

n life cycles. oint:

(b)

(d)

(f)

weld locations

module. All w

hown in Fig 10e than 1 millioand flange havthe acceptanced=2), all the wing 1.2 millionucturally durab

fatigue life cy

x ((1000000)(-0

at inlet

welds passes the

0 and summarion life cycles. Aving fatigue lifee criteria of 1 m

welds will survin life cycles durble and robust

Vol. 8, No

cles during the

0.319))

e acceptance c

ized in Table VAmong all these 1.18 million amillion life cycive more than 2ring test is 100to 333.74 Nm

o. 2; 2018

e service

riteria of

V. All the se joints, and weld les. Also 2 million 0%. Thus

bending

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6. ValidatThis is thehave adeqfatigue lifebut are nomanufactustrain to pr

• TIn order toto test a seof loadingpainted whtesting. ThThe bendinrotating shfrom a spinlocated beBefore startest is startRPM is ne Where, m is the wL is the moMb is the bR is the ra7. ValidatThe objecton the On according parametersexceeded twithout issThe test re

t.org

tion of Weld Fe standard test quate high cycle of aftertreatmot limited to lured using apprroduce high

F

Test Procedureo determine theeries of similar g cycles requirehite and all thhe after treatmng moment lo

haft. A spindlenning mass. D

etween the morting the test, ated. Post-test ineeded to be cal

weight of Rotatioment arm lenbending momedius of the rot

tion Results tive of this test and Off-Hwy ato Company

s for On- Higthe 1.2 millionsue. esults are show

Fatigue Analymethod used

le fatigue strenment inlet/outleeakage from wropriate produc fatigue failure

Figure 11. Test

e: e fatigue strengspecimens. Eaed to produce e welded jointent device is t

oad of 320N ise is attached toue to this, both

otor and the span exhaust inlenspection is colculated to run

ing mass ngth from centeent applied ating mass

is to validate tapplications. T’s standard teghway and Ofn cycle. Again t

wn as follows:

Mechanical

ysis to verify that tngth. Thus, thet welded tube within the tesction process. e. Figure 11 sh

setup for Weld

gth of a weldedach of the specfailure in each

ts are marked then installed o applied with

o the inlet/outleh rotating and bpindle that redet sub module ionducted and tat the bending

𝑅𝑃𝑀er of mass to f

the inlet designThe after treatmest procedure.ff-Highway apthe samples w

Engineering Re

44

the inlet or ouhe main purpos

joints. The outed inlet/outleThese samples

hows the test se

d Fatigue Ana

d joint configucimens is subjeh specimen is red in order to

on the Rotatingan eccentric met joint of an abending forces

duces vibrationis inspected fotest report is crg moment spec

𝑀 ∗first weld toe

n is robust to thment body joint The componpplications. A

were leak tested

esearch

utlet welded tuse of this test

utcome of this tet joint and ins are then subjetup for Weld

lysis of Inlet/O

uration under aected to consta

recorded. An o detect any dg bending test

mass which is after treatments are applied atn load from thr any leakagesreated. cified by the gi

∗ ∗

he bending momt components wnents were tes

fair amount d and inspected

ube joints of anis to determin

test will be failnternal cracks. ected to a loadFatigue Analy

Outlet of EGP

a given load coant amplitude lo

after treatmendeformation or

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Table VI. Correlation of simulation and validation Weld Location Weld Name Simulation Results Validation Results

Weld-1 Weld between inlet tube and Marmon 3.17 E+06 2.0 E+06 Weld-2 Weld between inlet tube and inlet flanges 1.18 E+06 2.0 E+06 Weld-3 Weld between heat shields at inlet 5.12 E+06 2.0 E+06 Weld-4 Weld between flanges at inlet 2.87 E+06 2.0 E+06 Weld-5 Weld between Heat shields 1.2 E+06 2.0 E+06 Weld-6 Weld between inlet 2nd flange and 2nd heat shield 2.07 E+06 2.0 E+06 Weld-7 Weld between inlet 2nd flange and outer body 1.64 E+06 2.0 E+06

8. Conclusion The down selected concept for compact packaging design of after treatment system shows considerable length reduction by 12 % as compared to baseline design. The FEA results also states that with 97.8% confidence interval (d=2), all the welds will survive more than 1 million life cycles without failure with the design modification in tube length. It is also ensured about validation through FEA analysis of welds that the probability of three samples surviving 1.2 million life cycles during test is 100%. It is also inferred from the fatigue simulation that 333.74 N-m threshold bending moment is to be applied to achieve maximum service life of the inlet components. The validation results infer that all the three test samples have passed the safe design criteria of 1.2million life cycles without any cracks or failure. The correlation of Weld fatigue simulation and testing have 2% variation in both the results considering number of life cycles. Thus as per FEA results and testing, inlet tube design has safe fatigue life (reduced warranty claims) and is structurally durable and robust. Acknowledgment I express my sincere gratitude towards the faculty members. I am also thankful to Cummins India Ltd. for sponsoring and supporting in my project. References Oh, G. (2017). Bending Fatigue Strength and the Effect of Assembling Stress on Fillet Welded Joints of Catalyst

Muffler Flange Pipes. International Journal of Automotive Engineering, 8(2), 87-94. Alexandre, S. F., Camarão, A. F., Fernandes, A. D. O., Bezerra, M. A., Argentino, M. A., & Ripoli, R. R. (2001). A

Finite Element Approach for Fatigue Analysis of Welded Components (No. 2001-01-4077). SAE Technical Paper.

Apurva, A., & Pande, D. (2014). Mesh Insensitive Structural Stress Approach for Welded Components Modelled using Shell Mesh. International Journal of Engineering Research & Technology, 3(11), 1425-1434.

Wei, Z., Yang, F., & Luo, L. (2012). Fatigue life Assessment of Welded Structures with the Linear Traction Stress Analysis Approach. SAE international Journal of Material Manufacturing, 5(1), 183-193.

Code of practice for Fatigue design and assessment of steel structures, British standard, BS7608, 1993. Wei, Z., Hamilton, J., Yang, F., Luo, L., Lin, S., Kang, H., & Dong, P. (2013). Comparison of Verity and Volvo

Methods for Fatigue Life Assessment of Welded Structures (No. 2013-01-2357). SAE Technical Paper. Kyuba, H., & Dong, P. (2005). Equilibrium-equivalent structural stress approach to fatigue analysis of a rectangular

hollow section joint. International Journal of Fatigue, 27(1), 85-94. Kang, H. T., Dong, P., & Hong, J. K. (2007). Fatigue analysis of spot welds using a mesh-insensitive structural stress

approach. International Journal of fatigue, 29(8), 1546-1553. Gao, Y., Chucas, D., Lewis, C., & McGregor, I. J. (2001). Review of CAE fatigue analysis techniques for spot-welded

high strength steel automotive structures (No. 2001-01-0835). SAE Technical Paper. Stocco, D., Vilela, D., & Batalha, G. F. (2009). Spot weld fatigue durability performance evaluation through the use of

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Zhang, S. (2001). Recent developments in analysis and testing of spot welds (No. 2001-01-0432). SAE Technical Paper.

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