Balanceo Dinamico-SKF.ppt

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  • Balanceo Dinmicode Rotores

    por: Javier Sardny Geraldo Malincovich,

  • Objetivos del SeminarioAl trmino del seminario, el participante ser capaz de :Identificar plenamente un estado de desbalance en una mquina (dieferencindolo de otros defectos), y llevar a cabo trabajos de balanceo.Conocer los principios fundamentales y metodologa del balanceo de rotores, tanto de aquellos efectuados sobre una mquina balanceadora, como aquellos llevados a cabo en el campo (in situ).

  • DefinicinSegn la definicin ISO, se presenta un desbalance en un sistema (rotor), cuando a consecuencia de fuerzas centrfugas no compensadas, se transmiten a sus soportes, fuerzas o movimientos vibratorios.

  • CausasErrores de construccin y diseoErrores de MaterialErrores de acabado y montaje

  • CausasErrores de construccin y diseoErrores de MaterialErrores de acabado y montajePartes rotatorias asimtricas (incl. tolerancias).Superficies no maquinadas en el rotor (interior y exteriormente).Errores de cilindricidad y de planeidad a consecuencia de holguras excesivas.

  • CausasErrores de construccin y diseoErrores de MaterialErrores de acabado y montajePresencia de sopladuras (burbujas) en partes fundidas.Densidad no homognea del material.Material con espesores desiguales (p.ej. en construcciones soldadas)Juego y desviaciones en las pistas (error en la cilindricidad), en rodamientos.

  • CausasErrores de construccin y diseoErrores de MaterialErrores de acabado y montajeError de forma durante la soldadura y la fundicin.Error de mecanizado, p.ej. muones excntricos.Diferencia de material en un empernado concntrico p.ej. atravs de diferentes longitudes de pernos, distintas formas de arandelas y tuercas.Deformacin permanente atravs del mecanizado p.ej. tensiones residuales liberadas; deforma-ciones durante el mecanizado; distorsiones durante la soldadura (blanda o fuerte).

  • Tipos de DesbalanceDesbalance Esttico.Desbalance por ParDesbalance Dinmico

  • ... Algo de nmerosFuerza centrfuga:Desbalance:

  • Agrupacin de los rotores rgidos

  • Tolerancias de Desbalance ISO 1940

  • Clculo del Balanceo en 1 planoM0/MT = V0/VTM0 = (15/29)*5M0 = 2,6 gVo = 15mm/s a 55

    Vr =18 mm/s a 170

    VT = Vo - Vr

  • Clculo del Balanceo en 2 planos

  • Configuraciones tpicas de rotores

  • Pantalla de una maquina de balanceo

  • Errores en el balanceoInclusin de chavetas.Rotores sin su propio eje.

  • Caso de juegos y no perpendicularidad

  • El desbalance y las vibraciones

    Chart1

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    4.4147379642946363.7819929557630890.69586550480032690.0

    4.3730985356969793.62654233982603370.78217232520115750.0

    4.3301270189221953.46410161513776330.86824088833464950.0

    4.2858365035105623.2950688700438660.95404497688272530.0

    4.2402404807821293.11987984909806841.03955845408880120.0

    4.1933528397271222.93900611775411221.1247552717193240.0

    4.1451878627752082.752953039992841.2096094779983410.0

    4.0957602214449622.5622575784603241.29409522551260130.0

    4.0450849718747382.36748592757422661.37818677908499660.0

    3.99317755023646862.16923099088793371.46185852361367920.0

    3.94005376803361251.96810971477741071.5450849718747360.0

    3.88572980728485451.76476029123503861.62784077228578550.0

    3.8302222155948941.55983924320961661.71010071662834040.0

    3.7735479011138611.35401840652315241.79183974772650165.5

    3.715724127386971.14798182291766661.87303296707956385.5

    3.6567685080958490.94242255923649911.95365564244637515.5

    3.5966990016932560.73803946812422042.03368321537900255.5

    3.53553390593273550.53553390593273112.11309130870350175.5

    3.47329185229498850.3356064237494552.19185573394538665.5

    3.40999180031249160.138953447612887142.2699524986977375.5

    3.3456530317942947-0.053736035946037212.3473578139294525.5

    3.2802951449525377-0.241783772906170152.4240481012316865.5

    3.213938048432702-0.42452549725525112.49999999999999645.5

    3.1466019552491895-0.60131413310382422.575190374550275.5

    3.0783073766282913-0.77152292777148012.6495963211660275.5

    3.009075115760246-0.93454850052111542.7231951750751335.5

    2.938926261462367-1.08981379200803862.79596451735373465.5

    2.8678821817552365-1.23677089997556132.86788218175522625.5

    2.7959645173537373-1.3749037872646172.93892626146236460.0

    2.7231951750751353-1.50373084880745573.0090751157602430.0

    2.6495963211660225-1.62280732494492423.0783073766282960.0

    2.575190374550273-1.73172754913659023.14660195524918770.0

    2.499999999999999-1.83012701892219433.21393804843269940.0

    2.424048101231689-1.91768427983592283.2802951449525350.0

    2.3473578139294546-1.9941226128692453.3456530317942920.0

    2.2699524986977315-2.05921151701741773.4099918003124960.0

    2.1918557339453897-2.112767979426773.47329185229498630.0

    2.113091308703497-2.1546575266778533.53553390593273950.0

    2.0336832153790056-2.18479505178972653.59669900169325450.0

    1.95365564244637-2.20314541260777563.65676850809585340.0

    1.8730329670795665-2.20972379833562333.71572412738696830.0

    1.7918397477265045-2.204595862086623.77354790111385970.0

    1.7101007166283435-2.18787761845569053.83022221559489170.0

    1.6278407722857882-2.15973510624318673.88572980728485270.0

    1.545084971874739-2.120383817592993.940053768033610.0

    1.4618585236136818-2.07008789593213073.9931775502364670.0

    1.378186779084991-2.0091591062129494.0450849718747420.0

    1.294095225512604-1.93795558205627424.095760221444960.0

    1.2096094779983355-1.8568803554694144.1451878627752110.0

    1.1247552717193272-1.76637967586135374.1933528397271210.0

    1.0395584540887957-1.66694112609339084.24024048078213140.0

    0.9540449768827282-1.5590915442830124.2858365035105610.0

    0.8682408883346525-1.44339476101543434.33012701892219450.0

    0.7821723252011604-1.32044916250864324.3730985356969770.0

    0.6958655048003299-1.19088509111708474.4147379642946340.0

    0.6093467170257456-1.05536209534506044.4550326209418370.0

    0.5226423163382722-0.91456604226661894.4939702314958340.0

    0.43577871373829224-0.76920610591383984.531538935183250.0

    0.34878236872063323-0.62001164579357994.56772728821300240.0

    0.26167978121472246-0.467728990223765744.60252426726220150.0

    0.17449748351250471-0.31311813964000174.6359192728339380.0

    0.08726203218641397-0.15694940540932954.6679021324860110.0

    1.83772268236293E-15-3.307900828253274E-154.6984631039295430.0

    fundamental

    f(t)

    g(t)

    g1(t)

    FIG1_1

    SexagesimRadianes5Senx3Sen2x2Sen4xC + D + E5Sen(x-110)Pulsos

    --------

    0.00.00.00.00.00.0-4.6984631039295430.0

    1.00.0174532925199432950.087262032186417570.10469849010750290.13951294748825060.33147346978217107-4.7275928779965840.0

    2.00.034906585039886590.174497483512504850.20926942123237590.27834620192013090.6621131066650117-4.7552825814757680.0

    3.00.052359877559829880.261679781214719130.313585389802960360.415823381635518630.9910885526531981-4.7815237798151780.0

    4.00.069813170079773180.34878236872062650.417519302880196340.55127471163399831.317576383234821-4.80630847969159450.0

    5.00.087266462599716470.43577871373829080.5209445330007910.68404028665133741.6407635333904191-4.82962913144534150.0

    6.00.104719755119659770.52264231633826730.6237350724532780.81347328615160031.9598506749431457-4.8514786313799820.0

    7.00.122173047639603070.60934671702573740.72576568679900320.93894312557178162.2740555293965223-4.8718503239261760.0

    8.00.139626340159546360.69586550480032720.82691206745099751.05983852846640982.5826161007177344-4.89073800366902840.0

    9.00.157079632679489660.78217232520115430.92705098312484211.17557050458494632.8847938129109427-4.908135917238320.0

    10.00.174532925199432950.86824088833465161.02606042997700621.28557521937307853.1798765376847364-4.924038765061040.0

    11.00.191986217719376240.9540449768827241.1238197802477361.38931674091799453.4671814980484545-4.9384417029756890.0

    12.00.209439510239319531.03955845408879651.22020992922740051.48628965095478833.746058034270985-4.9513403437078520.0

    13.00.226892802759262851.1247552717193251.31511344036723221.5760215072134444.015890219300001-4.9627307582066110.0

    14.00.244346095279206141.20960947799833861.40841468835767251.65807514511008354.276099311466094-4.9726094768413670.0

    15.00.26179938779914941.29409522551260371.49999999999999981.73205080756887724.526146033081481-4.98097349045872750.0

    16.00.27925268031909271.37818677908499581.58975779269961471.7975880925983344.7655326643829445-4.9878202512991210.0

    17.00.296705972839036051.46185852361368381.67757871041224061.85436770913357484.9938049431595-4.9931476737728690.0

    18.00.31415926535897931.5450849718747371.76335575687741941.9021130325903075.210553761342464-4.99695413509547850.0

    19.00.33161255787892261.62784077228578331.84698442597697451.9405914525519935.415416650814751-4.9992384757819560.0

    20.00.34906585039886591.71010071662834351.92836282905961781.9696155060244165.6080790517123775-5.00.0

    21.00.36651914291880921.79183974772650132.00739181907657471.98904379073654665.788275357539623-4.9992384757819560.0

    22.00.38397243543875251.873032967079562.08397511137699181.99878165403819155.955789732494743-4.99695413509547850.0

    23.00.401425727958695741.95365564244636852.15801940101595321.99878165403819156.1104566975005135-4.9931476737728690.0

    24.00.418879020478639062.03368321537900082.22943447643218251.98904379073654686.252161482547731-4.9878202512991210.0

    25.00.43633231299858242.11309130870349732.2981333293569341.9696155060244166.380840144084848-4.98097349045872750.0

    26.00.45378560551852572.1918557339453872.36403226082016631.9405914525519936.4964794473175465-4.9726094768413670.0

    27.00.471238898038468972.26995249869773372.42705098312484241.90211303259030736.599116514412883-4.962730758206610.0

    28.00.48869219055841232.3473578139294542.48711271766512531.85436770913357486.688838240728154-4.9513403437078520.0

    29.00.50614548307835562.42404810123168522.5441442884692781.79758809259833396.765780482299297-4.9384417029756890.0

    30.00.52359877559829882.49999999999999962.5980762113533161.73205080756887746.830127018922194-4.9240387650610410.0

    31.00.54105206811824212.5751903745502712.64884277857678051.65807514511008356.882108298237134-4.908135917238320.0

    32.00.55850536063818552.64959632116602432.69638213889750131.5760215072134446.921999967276969-4.89073800366902840.0

    33.00.57595865315812882.72319517507513532.74063637292780271.48628965095478856.950121198957726-4.8718503239261760.0

    34.00.59341194567807212.79596451735373462.78155156370036231.38931674091799436.966832821972091-4.8514786313799820.0

    35.00.61086523819801532.86788218175523022.8190778623577251.2855752193730796.972535263486034-4.82962913144534150.0

    36.00.62831853071795862.9389262614623662.85316954888546051.17557050458494656.967666314932773-4.80630847969159450.0

    37.00.64577182323790193.00907511576024162.88378508781495671.05983852846640986.952698732041608-4.7815237798151770.0

    38.00.66322511575784523.0783073766282912.91088717882798950.93894312557178226.928137681028063-4.7552825814757670.0

    39.00.68067840827778853.1466019552491872.93444280220141660.81347328615160096.894518043602205-4.7275928779965840.0

    40.00.69813170079773183.21393804843269632.9544232590366240.68404028665133786.852401594120658-4.6984631039295420.0

    41.00.7155849933176753.2802951449525362.9708042062247110.55127471163399936.802374062811246-4.6679021324860090.0

    42.00.73303828583761843.3456530317942912.98356568610481960.415823381635518636.745042099534629-4.6359192728339360.0

    43.00.75049157835756163.40999180031249252.99269215077947240.27834620192013156.681030153012096-4.60252426726220150.0

    44.00.7679448708775053.47329185229498632.9981724810572870.139512947488251056.610977280840524-4.5677272882130040.0

    45.00.78539816339744833.53553390593273733.02.45029690981724E-166.535533905932738-4.5315389351832490.0

    46.00.80285145591739153.59669900169325542.998172481057287-0.139512947488249666.4553585352622935-4.4939702314958350.0

    47.00.82030474843733493.6567685080958522.9926921507794724-0.278346201920131046.371114456955193-4.4550326209418390.0

    48.00.83775804095727813.71572412738697062.98356568610482-0.415823381635518136.283466431856272-4.4147379642946350.0

    49.00.85521133347722143.773547901113862.9708042062247113-0.5512747116339986.193077395704573-4.3730985356969790.0

    50.00.87266462599716483.830222215594892.954423259036624-0.68404028665133736.100605187980177-4.3301270189221940.0

    51.00.8901179185171083.8857298072848542.934442802201417-0.81347328615159966.006699323334671-4.2858365035105620.0

    52.00.90757121103705143.940053768033612.9108871788279895-0.93894312557178175.911997821289818-4.240240480782130.0

    53.00.92502450355699463.9931775502364642.8837850878149567-1.05983852846640965.817124109585011-4.1933528397271210.0

    54.00.94247779607693794.0450849718747372.853169548885461-1.1755705045849465.722684016175252-4.1451878627752090.0

    55.00.95993108859688134.0957602214449592.8190778623577253-1.28557521937307855.629262864429605-4.0957602214449590.0

    56.00.97738438111682464.1451878627752092.7815515637003623-1.38931674091799475.537422685557576-4.0450849718747370.0

    57.00.99483767363676784.193352839727122.7406363729278027-1.4862896509547885.4476995617001345-3.9931775502364640.0

    58.01.01229096615671124.240240480782132.696382138897501-1.57602150721344435.360601112466186-3.94005376803360940.0

    59.01.02974425867665434.2858365035105612.6488427785767814-1.65807514511008285.2766041369772605-3.88572980728485450.0

    60.01.04719755119659764.3301270189221932.598076211353316-1.73205080756887675.196152422706632-3.83022221559489040.0

    61.01.0646508437165414.3730985356969792.544144288469278-1.79758809259833365.119654731567923-3.773547901113860.0

    62.01.08210413623648434.4147379642946342.4871127176651253-1.85436770913357465.0474829728261845-3.7157241273869710.0

    63.01.09955742875642764.4550326209418392.4270509831248424-1.9021130325903074.9799705714763745-3.6567685080958520.0

    64.01.1170107212763714.4939702314958352.3640322608201663-1.9405914525519934.9174110397640085-3.59669900169325540.0

    65.01.13446401379631424.5315389351832492.298133329356934-1.9696155060244164.860056758515768-3.53553390593273730.0

    66.01.15191730631625754.5677272882130042.229434476432183-1.98904379073654684.80811797390864-3.47329185229498630.0

    67.01.16937059883620064.60252426726220152.158019401015954-1.99878165403819134.761762014239965-3.4099918003124930.0

    68.01.18682389135614424.6359192728339372.0839751113769913-1.99878165403819154.721112730172736-3.34565303179429070.0

    69.01.20427718387608734.6679021324860092.007391819076575-1.98904379073654684.686250160826036-3.2802951449525370.0

    70.01.22173047639603064.6984631039295421.9283628290596184-1.96961550602441634.657210426964744-3.21393804843269670.0

    71.01.2391837689159744.72759287799658351.8469844259769752-1.94059145255199324.633985851421565-3.14660195524918770.0

    72.01.25663706143591724.7552825814757671.7633557568774196-1.90211303259030734.616525305762879-3.07830737662829130.0

    73.01.27409035395586064.7815237798151771.6775787104122406-1.85436770913357484.604734781093843-3.00907511576024160.0

    74.01.29154364647580394.80630847969159451.5897577926996147-1.7975880925983344.598478179792876-2.9389262614623660.0

    75.01.30899693899574724.82962913144534151.4999999999999998-1.73205080756887724.597578323876464-2.86788218175523020.0

    76.01.32645023151569034.8514786313799821.4084146883576731-1.65807514511008414.601818174627571-2.79596451735373460.0

    77.01.34390352403563384.8718503239261761.3151134403672318-1.57602150721344364.610942257079964-2.7231951750751350.0

    78.01.3613568165555774.8907380036690281.2202099292274013-1.48628965095478924.62465828194164-2.6495963211660250.0

    79.01.37881010907552034.908135917238321.1238197802477368-1.38931674091799524.642638956568061-2.57519037455027130.0

    80.01.39626340159546364.924038765061041.0260604299770066-1.28557521937307924.664523975664967-2.50.0

    81.01.4137166941154074.9384417029756890.9270509831248426-1.17557050458494674.689922181515585-2.42404810123168520.0

    82.01.431169986635354.9513403437078520.826912067450999-1.05983852846641164.718413882692438-2.3473578139294550.0

    83.01.44862327915529354.962730758206610.7257656867990032-0.93894312557178164.749553319433832-2.26995249869773370.0

    84.01.46607657167523694.9726094768413670.623735072453278-0.81347328615160034.782871263143044-2.1918557339453870.0

    85.01.48352986419518024.98097349045872750.5209445330007908-0.68404028665133724.817877736808182-2.1130913087034970.0

    86.01.50098315671512334.9878202512991210.41751930288019723-0.55127471163399954.854064842545318-2.03368321537900170.0

    87.01.51843644923506664.9931476737728690.3135853898029612-0.415823381635519744.89090968194031-1.95365564244636910.0

    88.01.535889741755014.99695413509547850.20926942123237657-0.278346201920131764.927877354407723-1.87303296707956070.0

    89.01.55334303427495354.9992384757819560.1046984901075021-0.139512947488249524.964424018401209-1.79183974772650050.0

    90.01.57079632679489665.03.67544536472586E-16-4.90059381963448E-164.999999999999999-1.7101007166283440.0

    91.01.58824961931483994.999238475781956-0.10469849010750270.13951294748825035.0340529331627035-1.62784077228578350.0

    92.01.6057029118347834.9969541350954785-0.20926942123237450.278346201920129045.066030915783234-1.54508497187473810.0

    93.01.62315620435472634.993147673772869-0.313585389802959140.4158233816355175.095385665605427-1.46185852361368430.0

    94.01.64060949687466984.987820251299121-0.417519302880196560.55127471163399875.1215756600529225-1.37818677908499550.0

    95.01.65806278939461324.9809734904587275-0.52094453300079140.68404028665133795.144069244109274-1.29409522551260350.0

    96.01.67551608191455634.972609476841367-0.62373507245327720.81347328615159945.162347690539689-1.20960947799833930.0

    97.01.69296937443449964.962730758206611-0.72576568679900260.93894312557178075.175908196979389-1.12475527171932540.0

    98.01.7104226669544434.951340343707852-0.8269120674509971.05983852846640945.184266804723264-1.0395584540887970.0

    99.01.72787595947438644.938441702975688-0.92705098312484321.17557050458494725.186961224435793-0.95404497688272320.0

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    435.07.592182246


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