INFLUENCE OF RUNNING CONDITIONS ON RESONANT OSCILLATIONS IN FRESH-AIR VENTILATOR BLADES USED IN THERMAL POWER PLANTS

Similar documents
SM 15K - Series 15kW DC POWER SUP PLIES

SM 15K - Series 15kW DC POWER SUP PLIES

SM 15K - Series 15kW DC POWER SUP PLIES

SM Series 3300 W DC POWER SUP PLIES

SAVING ENERGY THROUGH IMPROVING CONVECTION IN A MUFFLE FURNACE. Alina Adriana MINEA and Adrian DIMA

SX - se ries 75 SX 5

SM Series 3300 W DC POWER SUP PLIES

SM Series 3300 W DC POWER SUP PLIES

SM se ries watts DC POWER SUP PLIES

Jun ior Cer tifi cate Ex ami na tion, 2003 Ma te ri als Tech nol ogy (Wood) Mon day 16 June - Morning Sec tion A- Higher Level 40 marks

SX - se ries 150 SX 15-15

KDH-1B Weigh Module Installation Instructions

EXPERIMENTAL RESEARCH OF LIMITS FOR THERMAL MODULATION TRANSFER FUNCTION. Ljubiša D. TOMI] and Mom~ilo P. MILINOVI]

SM Se ries 6000 W DC POWER SUP PLIES DELTA ELEKTRONIKA B.V. Mod els Volt age range Cur rent range. Three phase input

SM series watts DC POWER SUP PLIES

The Dramatic Publishing Company

Capacitor, De-tuned Capacitor & Filter Bank Products. The ABB Solution to Harmonics

INTERIOR FINISHES CHAPTER 8

SM Se ries 800 W DC POWER SUP PLY

En ter prise Re source Plan ning (ERP) Sys tem: An Ef fec tive Tool for Pro duc tion Man age ment

Filter-Based Synthetic Transmit and Receive Focusing

Picosecond Vi bra tional Spec tro scopy of Intermolecular Energy Transfer and Overtone Re lax ation in Liquid Bromoform

En vi ron men tal Planning, Prevention And Di sas ter Re sponse In The Ara bian Gulf

THAT Corporation APPLICATION NOTE 103

JCR-VIS Credit Rat ing Com pany Lim ited June, 2002

ASTER Imagery for British Columbia An Online Exploration Resource 1

In te grated En do scope for Real-Time 3D Ul tra sound Im ag ing and Hyperthermia: Fea si bil ity Study

CHAPTER 10 MEANS OF EGRESS. User Note: See Pref ace page iv ( mar ginal mark ings ) for Chap ter 10 reor ga ni za tion in for ma tion.

Ra ti omet ric Lin ear Hall Ef fect Sen sor

Sin gle-el e ment Fo cused Ul tra sound Trans ducer Method for Har monic Mo tion Im ag ing

AC CES SORY DE CODER MX82E, MX82D, MX82V

351 En gi neer ing Ter race, mail code Amsterdam Avenue New York, NY

CRITICAL REVIEW OF THERMOELECTRICS IN MODERN POWER GENERATION APPLICATIONS. Khalid M. SAQR and Mohd N. MUSA

Telex. Op er at ing In struc tions ST300. Transmitter SR Channel Receiver SR-50. Single Channel Receiver

Con tents. Dooyeweerd's Philosophy of Time. The Problem of Time and its Antinomies on the. Im ma nence Stand point (II)

Organized Small-scale Self-help Housing

Crawling Waves from Radiation Force Excitation

THE COM PAR I SON OF GAMMA-RA DI A TION AND ELEC TRI CAL STRESS IN FLU ENCES ON OX IDE AND IN TER FACE DE FECTS IN POWER VDMOSFET

Guide line for thin layer hot mix as phalt wearing courses on residential streets

SM se ries watts DC POWER SUP PLIES

SPECIAL CONSTRUCTION

Check mate for Chil dren

Femtosecond Flu o res cence Dy nam ics of trans-azo ben zene in Hexane on Ex ci ta tion to the S 1 (n,

Low Cost, Single-Supply Differential Amplifi er AD626

De voted to Prof. Pavel Povinec 65-th an ni ver sary

Air craft Noise versus Re spect for Home and Pri vate Life. Chapter XVI Air craft Noise ver sus Re spect for Home and Pri vate Life.

ES TI MA TION OF DOSES RE CEIVED BY OP ER A TORS IN THE 1958 RB RE AC TOR AC CI DENT US ING THE MCNP5 COM PUTER CODE SIMULATION

FT 9003 Frequency divider. Instruction Manual

Proportional Reasoning

THERE ARE A lim ited num ber of bids

FT Frequency divider. Instruction Manual

ABSTRACTS. 1. Quantatative Ultrasound 1

AGASTAT 7000 Series, Industrial Electropneumatic Timing Relay

METASEMANTICS AND OBJECTIVITY

Use of Jour nal Ci ta tion Re ports and Jour nal Per for mance In di ca tors in Mea suring Short and Long Term Jour nal Im pact

Cases Deal ing with Communication. Cases with Strong Rep re sen ta tion of Topic. Alice s Expense Account. Chemplus Inc. (B) The Auto Fi nance Cen tre

The Working Class in Ukraine: Chronicle of Losses Simonchuk, Elena

From Riches to Rags at a Time of Pros per ity:

Man ual on col lec tive bar gain ing and dispute resolution in the Pub lic Ser vice

Lowell L. GETZ, Madan K. OLI, Joyce E. HOFMANN and Betty McGUIRE

Trans par ency, Ac cess to In for ma tion, and Well-Be ing

Ta ble of Con tents. Table of Contents

African trade ministers to meet on WTO challenges

Real-Time Cal i bra tion of Tem per a ture Es ti mates dur ing Radio fre quen cy Ab la tion

JB1010 Ten-Channel Junction Box

Promoting water-related innovation through networked acceleration

ALEXANDER SHUL'GA, Preliminary comments on the reinterpretation of symbolic universe concept

APC-30T. Omni-Purpose 30 Watt Wide Angle Horn Loudspeaker. General Description. Features. Specifications. Applications APC-30T

Dec. 17, WOLFF 2,412,703 RADIO LOCATOR DEVICE. Fillied Aug. 29, 194l 2 Sheets-Sheet l. rena

ONTOLOGIES IN AI AND LAW. Tre vor BENCH-CAPON I. INTRODUCTION

Editorial: CYC-Now and Joy... / 4 CYC, The Pavements & Professional Silo s... / 6 John Paul Fitzpatrick

MASS OF SAINT ISAAC JOGUES

Moore spells out priorities for Seattle Ministerial Conference

American Physical Society March Meeting 2016 Sing-along / Listen-along! Sheet music

Fenji Jin 1, 2, *, Jooil Kim 1, and Kyung-Ryul Kim 3 1. INTRODUCTION AB STRACT

Strategic Research Plan December 15, March Fifth Street Nanaimo, BC V9R 5S5

Space, Activities and Gender. Ev ery day Life in Lindora, Costa Rica

ifc Bulletin IRVING FISHER COMMITTEE ON CENTRAL-BANK STATISTICS No. 7 Oc to ber 2000 Con tents

EN VI RON MEN TAL DEG RA DA TION OF CAR BON NANOTUBE-MOD I FIED COM POS ITE LAM I NATES: A STUDY OF ELECTRICAL RESISTIVITY

Wis con sin MAPPING BUL LE TIN Vol. 28, num ber 1 Winter 2002

l O00000 G. B BY ) 7s.6-- 7taurold 0. Aeterson June 22, 1948, H, O, PETERSON 2,443,746 TUBE REACTANCE AND MODULATOR Filed Dec. l. l943 3.

COMPARATIVE ANALYSIS OF THE SOLAR DISH ELECTRICITY PRODUCTION

New Zealand s Moore heads WTO

All improvements of David(R)zehn!

Living in Unauthorized Settlements. Hous ing Im prove ment and Social Participation in Bolivia

COURSE DESCRIPTIONS Accounting (ACCT) Agricultural Economics (AGEC) Anthropology (ANTH) Biology (BIOL)

Exsultet [AT THE EASTER VIGIL]

Charles Hertan. Power Chess for Kids. Learn How to Think Ahead and Be come One of the Best Play ers in Your School

Stitch ing Sto ries from Bihar to Beeston

General Council approves work programme on implementation problems of developing countries

Keysight Technologies The Fundamentals of Signal Analysis. Application Note

Cross Cul tural Man age ment: An In ter na tional Jour nal

Cath e ter Ul tra sound Phased-Ar ray Trans duc ers for Ther mal Ab la tion: A Fea si bil ity Study

Telex Op er ating In struc tions PROFESSIONAL WIRE LESS IN TER COM SYS TEM TR-300, BTR-300

Wis con sin MAPPING BUL LE TIN Vol. 29, num ber 1 Winter 2003

COM PAR I SON OF GAMMA RAY EF FECTS ON EPROMs AND E 2 PROMs

1073 & 1084 Channel Amplifier

BAGS. Dra matic Pub lishing Woodstock, Il li nois Eng land Aus tra lia New Zea land. A one-act play by ANNE V. MCGRAVIE

Power Chess for Kids Volume 2

Pu shing and bra king aid. Trans la ti on of the ori gi nal user's manual. movilino

Transcription:

THERMAL SCIENCE: Vol. 13 (2009), No. 1, pp. 139-146 139 INFLUENCE OF RUNNING CONDITIONS ON RESONANT OSCILLATIONS IN FRESH-AIR VENTILATOR BLADES USED IN THERMAL POWER PLANTS by Mi lan B. TASI], Radivoje M. MITROVI], Predrag S. POPOVI], and Marko M. TASI] Orig i nal sci en tific pa per UDC: 692.842:662.612/.613 BIBLID: 0354-9836, 13 (2009), 1, 139-146 DOI: 10.2298/TSCI0901139T High fre quency cy clic load of fresh air sup ply to ven ti la tor blades in thermo en er - getic fa cil i ties can cause the oc cur rence of fret ting in the pressed over lap of ven ti la - tor shaft and socket. These loads can be gen er ated by the res o nant os cil la tions of ven ti la tor blades and ther mal re sid ual stress due to weld ing. To pre vent run ning in res o nant con di tions, the man u fac turer of the ven ti la tor de fined a pro ce dure of ad - just ing blades nat u ral fre quency in the pro cess of pro duc tion, as well as pe riod con - trol dur ing ex ploi ta tion pe riod. The nu mer i cal sim u la tions and the ac cel er a tions mea sured and pre sented in this pa per, en abling anal y sis of mass changes and ro ta - tion rate ef fects on res o nant os cil la tions oc cur rence in fresh air ven ti la tor. Key words: ventilator, bedding, resonance, fretting Introduction Thermo en er getic fa cil i ties of ther mal power plants use up about 10 to 15% of the pro - duced elec tric power for the drive of elec tric mo tors of their be long ing aux il iary de vices (trans - port ers, pumps, ven ti la tors, mills, and sim i lar). A 600 MW boiler, de pend ing on the coal qual ity, can serve 6 to 8 ven ti la tor mills of 1.3 MW each. The to tal power of just these de vices uses up 1.7% of the ther mal power plant s block ca pac ity. The boiler s con tin ual op er a tion is es pe cially sen si tive to re li able op er a tion of the ven - ti la tor for fresh air sup ply and ex haust gases elim i na tion. One boiler unit is served by two ven ti - la tors which in joint op er a tion can pro vide fresh air amount higher by 20% than the nom i nal one, for the given boiler ca pac ity. In case of one ven ti la tor fail ure, the fresh air sup ply drops to 60%, which di min ishes the boiler ca pac ity by 40%. Blades res o nant os cil la tions can be the cause of a ven ti la tor bed ding break down. Mea - sure ments of blades nat u ral fre quen cies at each stop page in the course of reg u lar an nual boiler re pair, as well as nu mer i cal sim u la tions and pos si ble ad just ments of blades own fre quen cies at the fa cil ity it self, can sig nif i cantly con trib ute to pre cise pre dic tion of the ven ti la tor op er at ing life. Knowl edge of the op er at ing life would, on the one hand, en able pre vent ing ven ti la tor break down, while, on the other hand, it would en able the ven ti la tor cir cuit to be re placed in the planned man ner within the reg u lar re pair op er a tion. Bed dings of boiler s aux il iary de vices in thermo power plaints, such as ven ti la tors for fresh air sup ply or emis sion gases, should en able se cure and re li able run ning in all con di tions.

140 Tasi}, M. B., et al.: Influence of Running Conditions on Resonant Oscillations... How ever, ex treme run ning con di tions, such as con tam i na tion of fresh air with land or coal dust, of ten dis able bed dings to ful fill their ba sic func tion. As the con se quence of in ap pro pri ate run ning con di tions, fail ure of in ter nal bed ding may oc cur. In the worst case, bear ing block age leads to over heat ing of the as sem bly, col lapse of the ma te rial me chan i cal char ac ter is tics and ex ces sive shaft jour nal bend ing [1]. This leads to the bend ing which ex ceeds the al lowed limit, caus ing con tact be tween ven ti la tor blades and case. Col li sion be tween blades and case causes dam age of ven ti la tor as sem bly parts. The pro cess oc - curs at very high speed, so the ex ist ing tem per a ture su per vi sion sys tems are un able to de tect the dam age, lead ing to melt ing of the in ner bear ing ring, socket, and shaft jour nal. Cross-sec tions of the bed ding are shown in fig. 1. Bearing bedding failure hypotheses Ac cord ing to the stud ies pub lished in pa pers [2-8], po ten tial causes of the break down in clude, among oth ers, the fol low ing in flu ences. Design Decreased axial gap between the cage and internal ring of the bearing due to the assembly tightening and warming up, resulting from the friction; Inappropriate modular gap and inexistence of a security mechanism to prevent rotation of the socket with respect to shaft journal. Ex ploi ta tion con di tions Fig ure 1. Cross-sec tions of the bear ing bed ding SKF 22340 CC/W33 Presence of pollution in the grease; Increased friction in the bearing due to steel particles from the steel cage (brass cage was replaced with steel cage by the manufacturer); Axial vibrations in the bearing caused by ventilator blades resonant oscillations. Pre sented pa ram e ters sup port the hy poth e sis that fail ure of the bed ding is the con se - quence of slip ping of the pressed over lap be tween the shaft jour nal and in ter nal bear ing ring socket. The mod u lar gap in creased due to tem per a ture rise. Fric tion co ef fi cient changed as the con se quence of fret ting, among other rea sons, due to high-fre quency cy clic load. Fret ting has been the cause of count less fail ures of the ma chin ery com po nents. One def i ni tion de scribes fret ting as: A spe cial wear pro cess that oc curs at the con - tact area be tween two ma te ri als un der load, which are ex posed to rel a tive mo tion by vi bra tion or some other force [5, 9].

THERMAL SCIENCE: Vol. 13 (2009), No. 1, pp. 139-146 141 When two pieces of ma te rial, pressed to gether by an ex ter nal static load (for ex am ple, press fits or bolted flanges) are sub jected to trans verse cy clic load ing, so that one con tact ing face is rel a tively dis placed, par al lel to the other face in the pres ence of high con tact stress, wear on the mat ing sur faces oc curs. If the dis place ment mag ni tude is less then about 50 mm, the wear is termed fret ting, fig. 2. Fret ting wear can be re duced by elim i nat ing the con - tact ing sur faces os cil la tory move ment: by increasing of friction, and by strengthening surface of the material (coatings, heat treatment, laser). In this pa per the blades res o nant os cil la tions and pos si bil i ties for their re duc ing are ana lysed, be cause of its cru cial in flu ence on re li abil ity and du ra tion of the ven ti la tor life. Usu ally, the first step of res o nant anal y sis is de ter mi na tion of nat u ral fre quen cies of all sig nif i cant as sem bly parts. In this case, this is an a lyt i cal and ex per i - men tal de ter mi na tion of nat u ral fre quen cies of the ven ti la tor blades. Adjustment of blades natural frequency The ven ti la tor is welded as sem bly. Their ro tary part con sists of ven ti la tor body and blades. The body front part is pro duced by deep press ing and rear part is made of steel sheet. The blades are pro duced by forg ing. The tol er ances of the shape and di men sions of all parts are de - fined ac cord ing to ra tio nal and in ex pen sive fab ri ca tion. Used tol er ances val ues cover com mon ex pected in sta bil ity in deep press ing and forg ing pro cesses. Al lowed val ues of the tol er ances can pro duce lo cally dif fer ent shape of the ven ti la tors body seg ments and be tween the blades. Blades are placed into proper po si tion and par tially welded by a spe cial tool. In the end, com plete weld ing of blades root is per formed on the ro tary po si tion ing de vice, used for the pur - pose of putt ing the ven ti la tor into op ti mal weld - ing po si tion, fig. 3. This pro cess can also put some al lowed er rors in real shape of the ven ti la - tor. That ge om e try im per fec tions cause un bal - anced cen trif u gal forces and dif fer ent nat u ral fre - quen cies of the body seg ments and all blades. The ef fect of ther mal re sid ual stresses in the ma te rial, as the con se quence of weld ing, also pres ents a prob lem for nat u ral fre quen cies. Namely, the weld ing pro cess ap plied here was Figure 2. Damaged journal surface caused by fretting Figure 3. Ventilator production welding of blades man ual arc weld ing with cov ered elec trodes, typ i cal for rel a tively large ther mal gra di ents dur - ing heat ing and cool ing of welded joint. As the con se quence ther mal re sid ual stresses are gen er - ated in blade root, af fect ing the nat u ral fre quen cies of a blade. It is even pos si ble to ad just the nat u ral fre quen cies by ad di tional sur face weld ing of the crit i cal re gion in blade root. Due to all of this, it is es sen tial to per form heat treat ment of the welded struc ture in or der to de crease the re - sid ual stresses in the ma te rial. Such a heat treat ment is com pli cated pro cess, which is per formed with out pre cise con trol of tem per a ture his tory. Thus, one should not ne glect pos si ble in flu ence

142 Tasi}, M. B., et al.: Influence of Running Conditions on Resonant Oscillations... of heat ing and cool ing pro cesses dur ing weld ing and post weld heat treat ment on blade nat u ral fre quen cies and op er a - tional be hav iour. Usual way to over come this prob lem is ex per i men tal ad just ment of un bal ance and nat u ral fre quency. Due to pos si ble run ning in res o nate con di tions, the blades nat u ral fre quency is ad justed by the pro ducer pre scribed pro ce dure. Ad - just ing is per formed by chang ing the blades mass. The modal anal y sis method Figure 4. Area of the first natural-frequency mode is used for mea sur ing and an a lyt i cal de - ter mi na tion of nat u ral fre quency. The pro cessed sig nal from sev eral measurings, with iso lated area of the first nat u - ral-value of the os cil la tion, is pre sented in fig. 4. The di a gram shows six con sec u tive measurings. Peak of the mea sured pa ram e ter in all cases matches the nat u ral fre quency of 78 Hz. The am pli tudes are un even on the left and right sides due to un even ham mer hits, which caused the mea sured os cil la tion. Al though all ven ti la tor blades are man u fac tured against unique doc u men ta tion, de - signed by the same man u fac turer, the mea sure ments show that there are dif fer ences in their nat - u ral-fre quen cies. Fig ure 5 shows sev eral ven ti la tor blades with the same nat u ral-fre quency val ues. The mea sure ments were done on one of the pro duced pri mary stage air ven ti la tors. The ven ti la tor has 13 blades. Three of them have nat u ral fre quency of 73 Hz, other three 75 Hz, two 76 Hz, and five 77 Hz. This points out the im por tance that the fi nal prod uct ven ti la tor with con - trolled dy namic char ac ter is tics can not be pro duces just ac cord ing to tech ni cal draw ings, pre scribed weld ing tech nol - ogy and ther mal treat ment, but that it is Fig ure 5. Mea sured val ues of blade s nat u ral- -fre quen cies Field fre quency con trol es sen tial to ad just the blades dy nam i cal char ac ter is tics ex per i men tally, add ing or re mov ing mass on top of the blades. Dur ing the ex ploi ta tion time, ero sion of the blades takes place, es pe cially in the area with high est drift speed. Abra sion is per formed by dust and sand, fig. 6. Mass de crease on blade edges leads to in crease of nat u ral-fre quency, so even al ready ad justed blade gets into the sit u a tion that its nat u ral-fre quency can match some har mon ics of the ven ti la tor elec tro-mo tor ba sic speed rev o lu tions.

THERMAL SCIENCE: Vol. 13 (2009), No. 1, pp. 139-146 Figure 6. Damaged blade zones 143 Figure 7. Blade surface with attached layer of dirt It is possible to perceive that the blade edge is damaged, especially on the top of aero profile front edge. The rear edge is missing a piece of the material. Figure 7 shows appearance of the blade on the surface of which a layer of dirt is attached, increasing the mass and decreasing its natural frequency. During periodical checking and overhaul of thermal power plants, cases with resonant running are noticed on ventilators used for some time, even though no vibrations were detected on regular check-ups on the check point standardized by the manufacturers. It means that strength of the blade was not directly endangered, but these vibrations were transmitted to other parts of the structure (such as bearing beddings) as micro vibrations. Such effect could be one of the crucial factors that cause fretting wear on the overlapped surfaces of the shaft journal and socket. Modeling of the ventilator This study pays special attention to journal and socket slipping caused by fretting. It examines the likelihood of periodic axial loads in journal socket assembly, caused by ventilator blades resonant oscillations. The finite element software, modal analysis package, was used for simulation of the 3-D blade models dynamic behavior. The numeric machine for 3-D measuring, located in the production facility of 21 May company, was used to define the 3-D blade model. Original blade, manufactured by the TLT company from Germany, was used as a sample. Using the 3-D scanner, the coordinates of blade cross-sections were registered at each 20 mm, fig. 8. Based on these data, the blade profile cross-sections were defined. With the 3-D modeling software, these cross-sections were connected into one 3-D blade body. Ventilator body was modeled using the standard 2-D documentation and drawings. The 3-D model of the ventilator, fig. 9, was imported into finite elements method (FEM) software for the calculation of natural frefigure 8. Blade cross-sections quency and natural mode shape oscillations.

144 Tasi}, M. B., et al.: Influence of Running Conditions on Resonant Oscillations... Fig ure 9. 3-D CAD model of the W33 air ven ti la tor Fig ure 10. 3-D model of ven ti la tor s pe ri odic sec tion math e mat i cal model with seg ments is shown in fig. 10. The ac tual struc ture is char ac ter ized by sec tor sym - me try; there fore the math e - mat i cal model con tains only one blade with its root con - strained to the ven ti la tor body, rep re sented by one sec tion. It is as sumed that vi bra tions of other blades do not have in flu - ence on the re sult. This does not fully match the ac tual run - ning con di tions. Such ide al - iza tion can be ac cepted be - cause blades have higher slen der ness than the spher i cal ven ti la tor body. The ven ti la tor In flu ence of mass change on blades nat u ral fre quen cies Blade mod els with re duced mass were sub ject of the anal y sis, which was achieved by cut - ting off the ma te rial and blades with in creased mass re sult ing from weld ing a ma te rial on the top. As an ex am ple, cases of a stan dard blade are shown, fig. 11, and of a blade with re - duced mass achieved by cut ting off the top, fig.12. In both cases, the ba sic shape of os cil la tion is the one which bends the blade in its root, at the area where it is con strained by ven ti la tor body. The fig ures de pict the start ing po si tion (shaded) and fi nal po si tion of the blade. The stan dard blade s nat u ral fre quency was 51.4 Hz. Change in mass re sults in change in nat u ral fre quency. The blade with re duced mass has nat u ral fre quency in creased to 52.2 Hz. The mod els for which mass was added on the top (ex am - ple is the tri an gle shaped top in fig. 9) re sulted in the de crease of nat u ral fre quency value. Ac cord - Fig ure 11. Nat u ral fre quency of stan dard blades 51.4 Hz Fig ure 12. Blades fre quency with re duced mass 52.2 Hz

THERMAL SCIENCE: Vol. 13 (2009), No. 1, pp. 139-146 145 ing to the re sults [2], it is pos si ble to de fine sensitivity of natural frequency change to mass change of the blade s top. This change is shown in fig. 13. It can be per ceived that a rel a - tively small mass change (ca. 200 g) of the blade, which has 50 kg in to tal mass (0.4%), changes the nat u ral fre quency by ca. 6%. In flu ence of re volv ing speed on blades natural frequency In ad di tion to ge om e try and ma te rial char - ac ter is tics, the strains in the struc ture also have sig nif i cant in flu ence on the nat u ral fre - quency value. This means that the mea sured nat u ral fre quency of idle blades dif fers from the nat u ral fre quency in run ning con di tions. Strains in crease in the di rec tion of the blades top. Ro ta tion sim u la tions were per - formed to es ti mate this in flu ence, with dif fer - ent re volv ing speed, start ing from 0, 450, 740 up to 1000 per min ute. Re sults are shown in the di a gram on the fig. 14. It is vis i ble that the change in re volv ing speed has smaller in flu ence on ven ti la tor s nat u ral fre quency than the mass change. Change of the re volv ing speed by 21%, changes the nat u ral fre quency by 2 Hz (3.5%). Con clu sions Fig ure 13. In flu ence of blades top mass change on its natural frequency Fig ure 14. In flu ence of re volv ing speed Per fectly pre cise blade ge om e try, con stant re volv ing speed, and clean air are needed for con stant val ues of nat u ral fre quen cies. Al lowed val ues of the tol er ances can pro duce lo cally dif fer ent shape of the ven ti la tors body seg ments and be tween the blades. This changes their nat - u ral fre quency. The ef fect of ther mal re sid ual stresses in the ma te rial, as the con se quence of weld ing, also pres ents a prob lem and changes blades nat u ral fre quen cies. In the case that blades nat u ral fre quency match some har mon ics of the ven ti la tor elec - tro-mo tor ba sic speed rev o lu tions, ven ti la tor is run ning in res o nate con di tions. Such con di tions can cause fret ting wear in the over laps in the bed ding. Blade nat u ral fre quency in ac tual run ning con di tions is change able and de pends on fab ri ca tion tol er ance, strains, lay ers of dirt, and ero sion pro cess. The in flu ence of mass change on nat u ral fre quency is shown by nu mer i cal sim u la tions. It has been con firmed by ex per i ment that 0.4% of mass change on blades top changes nat u ral fre quency by 6%. There fore, ero sion or dirt lay ers dur ing op er a tion change blades nat u ral fre quen cies and can cause res o nant os cil la - tions and fret ting wear in the over laps in the bed ding.

146 Tasi}, M. B., et al.: Influence of Running Conditions on Resonant Oscillations... It has also been con firmed that strain in blades, as the con se quence of cen trif u gal forces, also has cer tain in flu ence on the value of nat u ral fre quen cies. Change of the re volv ing speed by 21% changes nat u ral fre quency by 3.5%. When blades are ad justed dur ing pro duc tion pro cess, pos si ble change of shaft re volv ing speed dur ing op er a tion has to be taken into con sid er ation. The in er tial forces di rec tion dur ing res o nant vi bra tions is par tially ax ial, so it can cause fret ting on the pressed over laps in the bed ding. As the pre cau tion mea sure to pre vent res o nant vi bra tions of the blades, pe ri od i cal mea sur ing and ad just ing is sug gested any time ven ti la tor is shut down. In fu ture, it will be es sen - tial to de velop and de fine the meth od ol ogy of nat u ral fre quency mea sur ing for ven ti la tor in run - ning con di tion, be cause it would pro vide more ac cu rate es ti ma tion of the pos si bil ity of ven ti la - tor run ning with res o nant os cil la tions. References [1] Tasi}, M. M., Tran sient Heat Con duc tion in Bear ing Bed ding of the Fresh Air Ven ti la tor, Di ploma Pro ject, (in Ser bian), Fac ulty of Me chan i cal Engineering, University of Belgrade, Belgrade, 2006 [2] Tasi}, B. M., Mitrovi}, R.,Tasi}, M. M., In flu ence of Res o nant Vi bra tions of W33 Fresh-Air Blades on Shaft Bed ding Fail ure, Ma chine De sign, Fac ulty of Tech ni cal Sci ences, Uni ver sity of Novi Sad, Novi Sad, Ser bia, 2007 [3] Ristivojevi}, M., et al., Re de sign Re port of the Fresh Air Ven ti la tor AN 33e6`s Bed ding (in Ser bian), Fac - ulty of Me chan i cal En gi neer ing, Uni versity of Belgrade, Belgrade, 2002 [4] Šija~ki-Žerav~i}, V., et al., Re search Re port of the Fail ure of Fresh Air Ven ti la tor AN 33e6`s Shaft (in Ser bian), Fac ulty of Me chan i cal En gi neering, University of Belgrade, Belgrade, 2000 [5] Frost, N. E., March, K. J., Pook, L. P., Metal Fa tigue, Do ver Pub li ca tions Inc., Mineola, N. Y., USA, 1990 [6] Mitrovi}, R., et al., De sign Anal y sis of the Power Plant Fresh Air Ven ti la tor s Bed ding (in Ser bian), Pro - ceed ings on CD, International, Sym po sium Power Plants 2004, Vrnja~ka Banja, Ser bia and Montenegro, 2004 [7] Ristivojevi}, M., et al., Re search of the Sources of Work ing Con di tions Fail ure of the Power Plant Fresh Air Ven ti la tor (in Ser bian), Proceedings on CD, Energetika 2005, Zlatibor, Ser bia, 2005 [8] Mitrovi}, R., et al., Tran sient Heat Con duc tion in Bear ing of Pri mary Stage Air Fan of Ther mal Power Plant (in Ser bian), In ter na tional Sym po sium Power Plant 2006, Vrnja~ka Banja, Ser bia, 2006 [9] Ashby, M. F., Ma te rial Se lec tion in Me chan i cal De sign, 3 rd ed., Butterworth-Heinemann, Burlington, Mass., USA, 2005 Authors' affiliations: M. B. Tasi} (corresponding author) College of Applied Sciences Tehnikum Taurunum Belgrade, Serbia E-mail: tasam@sezampro.yu R. M. Mitrovi} Mechanical Engineering Faculty, University of Belgrade Belgrade, Serbia P. S. Popovi} Vin~a Institute of Nuclear Sciences Belgrade, Serbia M. M. Tasi} Mechanical Engineering Faculty, University of Belgrade Belgrade, Serbia Paper submitted: October 20, 2008 Paper revised: November 1, 2008 Paper accepted: February 11, 2009