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SNBAL CALCULATIONOFBASICLOAD RATINGSAND SERVICELIFEOFSPHERICALPLAINBEARING

1.Rated static load and equivalent static load of spherical plain bearing

The general calculation formula of rated static load of spherical plain bearing is: \mathbf { C } s = [ \mathbf { p } ] \mathbf { C } \mathbf { d } \mathbf { m } \mathbf { l } ( \mathbf { \varepsilon } )

① Fortheradialsphericalplainbearing,under theconditionof normalclearance,theaboveformulacanbeconverted as Csr=fsdm(N), \vDash fs([plε,dm),related to factors like bearingmaterial,structure type,radial clearanceand so on.The values offs under the condition ofnormal clearance are listed in the folowing table:

Whenthecombined loadof both radialandaxial directions isappliedon theradial spherical plain bearing,its staticequivalentradial load is: \mathsf { P r } = \mathsf { X } \mathsf { f } , (N),where:thecoefficientX related to Fa/F,the X'value is listed in the following table.:

② 、For the angular-contact spherical plain bearing,rated static radial load is given by:Csr \mathbf { \sigma } = \mathbf { \sigma } fs(B+C-T)dm (N) the values ofcoefficient fsare given in'the following table:

fs Values of angular-contact spherical plain bearing

Whenthecombined loadof both radial andaxial directions isappliedon theangular-contact spherical plain bearing,itsstatic equivalent load is:Pr \mathbf { \bar { \rho } } = \mathbf { \rho } XraFr(N),where:XraXrais giveninthe following table:

③ 、Forthrust spherical plain bearing,rated staticaxial load is: \mathsf { C } _ { s a } = \mathsf { f } _ { s } ( \mathsf { B } + \mathsf { C } - \mathsf { H } ) \mathsf { d } _ { \mathsf { m } } ( \mathsf { N } ) ，Where: coefficientfs isgiveninthe followingtable:

關(guān)節(jié)軸承額定載荷與壽命計(jì)算

當(dāng)推力關(guān)節(jié)軸承承受徑向和軸向聯(lián)合靜載荷時(shí)，其當(dāng)量靜載荷為： ±b { \mathsf { P } } _ { \mathsf { a } } = ±b { \mathsf { Y } } _ { \mathsf { a } } ±b { \mathsf { F } } _ { \mathsf { a } } 式中 ±b { γ _ { \mathsf { a } } } 按下表選?。?/p>

④ 、桿端關(guān)節(jié)軸承的額定靜載荷計(jì)算方法，應(yīng)根據(jù)桿端關(guān)節(jié)軸承的結(jié)構(gòu)型式來(lái)選擇。當(dāng)桿端關(guān)節(jié)軸承為向心型時(shí)，可采用向心關(guān)節(jié)軸承的額定靜載荷計(jì)算公式計(jì)算。當(dāng)桿端關(guān)節(jié)軸承為球頭型時(shí)，可采用推力關(guān)節(jié)軸承的額定靜載荷計(jì)算公式計(jì)算。另外還應(yīng)考慮桿體材料的屈服強(qiáng)度極限。當(dāng)軸承的額定靜載荷超過(guò)桿體材料的屈服強(qiáng)度的許用值時(shí)，應(yīng)取桿體材料屈服強(qiáng)度極限的許用值作為計(jì)算桿端關(guān)節(jié)軸承的額定靜載荷。

2、關(guān)節(jié)軸承額定動(dòng)載荷與當(dāng)量動(dòng)載荷

① 、向心關(guān)節(jié)軸承的徑向額定動(dòng)載荷為：Cdr * = frCdm(N)

式中系數(shù)fr與軸承摩擦副的材料、結(jié)構(gòu)型式、徑向游隙等因素有關(guān)，下表列出了正常游隙下f值：

當(dāng)向心關(guān)節(jié)軸承承受不變的徑向和軸向聯(lián)合載荷時(shí)，其當(dāng)量動(dòng)載荷為 : \mathsf { P } = \mathsf { X } _ { \mathsf { r } } \mathsf { F } _ { \mathsf { I } } (N)，式中系數(shù) \mathbf { x } _ { { { r } } } 與 F _ { 2 } / F _ { r } 值有關(guān)， \mathbf { X } _ { \Gamma } 的取值與當(dāng)量靜載荷中 \mathbf { X } _ { \Gamma } 取值相同。

② 、角接觸關(guān)節(jié)軸承的額定動(dòng)載荷 \mathsf { C } _ { \mathsf { d r } _ { \prime } } 為： \mathsf { C } _ { \mathsf { d r } } = \mathsf { f } _ { \mathsf { r a } } \bigl ( \mathsf { B } + \mathsf { C } - \mathsf { T } \bigr ) \mathsf { d } _ { \mathsf { m } } ( \mathsf { N } ) 式中系數(shù)fra與軸承摩擦副材料及結(jié)構(gòu)尺寸有關(guān)，如下頁(yè)表格列出fra值

當(dāng)角接觸關(guān)節(jié)軸承承受不變的徑向和軸向聯(lián)合載荷時(shí)，其當(dāng)量動(dòng)載荷為： \scriptstyle { \mathsf { P } } = \mathbf { X } _ { \mathsf { r a } } { \mathsf { F } } (N)，式中Xra的取值與當(dāng)量靜載荷中Xra取值相同。

SNBAL CALCULATION OFBASICLOAD RATINGSAND SERVICELIFEOFSPHERICALPLAINBEARING

When the combined load of both radial and axial directions isapplied on the thrust spherical plain bearing,its static equivalent load is: ±b { \mathsf { P a } } \mathbf { = Y } \mathbf { _ { a } } ±b { \mathsf { F } } \mathbf { _ { a } } ,where: ±b { γ _ { \mathsf { a } } } is given in the following table:

④ The computationmethodofrated staticloadforrod endbearingshouldbeselectedaccording tothestructuretypeofrod endbearing.Iftherodendbearingisofradialtypeitcanbecalculatedbytheratedstaticloadformulaofradialsphericalplain bearing.lftherodendbearingisofballjointtype,itcanbecalculatedbytheratedstaticoadformulaofthrustsphericalplain bearing.inaddition,theyieldstrengthlimitofbodymaterialshouldbeconsideredWhenthestaticloadratingofspherical plainbearingexceedstheallowablevalueofteyieldstrengthlimitofbodymaterialthealowablvalueofteyieldstrength limitofbody materialshould beselectedasthe basis of calculating therated staticload ofrodendbearing.

2. Rated dynamic load and equivalent dynamic load of spherical plain bearing

① . 、Therated dynamic radial load of the radial spherical plain bearing is: \mathbf { C } _ { { d r } } { = } \mathbf { f } _ { r } \mathbf { C } \mathbf { d } \mathbf { m } ( \mathbf { N } ) （204號(hào) where: frrelated to the factorssuch asmaterialoffriction pair,structure type,radialclearanceand so on.Thevalues offr under the condition of normal clearance are listed in the following table:

When the invariable combined load in both radial and axial direction isapplied on the radial spherical plain bearing,itsdynamic equivalent load is: P = X _ { 1 } F (N),where the coefficient \mathbf { x } _ { { { r } } } isrelated with \mathsf { F } _ { \mathsf { a } } / \mathsf { F } _ { \mathsf { r } _ { \prime } } theXrvalueisthesameasthe \mathbf { X } _ { \Gamma } rvalue inequivalentstaticload formula

② .The rated dynamic load \mathsf { ±b { C } } _ { \sf d r } of angular-contact spherical plain bearing is: \mathsf { C } _ { \mathsf { d r } } = \mathsf { f } _ { \mathsf { r a } } ( \mathsf { B } + \mathsf { C } - \mathsf { T } ) \mathsf { d } _ { \mathsf { m } } ( \mathsf { N } ) , where the coefficient fra is related to the material offriction pairand bore diameterof the bearing, fra values are listed in the following table:

When the invariable combined load in both radial and axial direction is applied on the angularcontact spherical plainbearing,its equivalent dynamic load is: ±b { \mathsf { P } } \mathbf { = } ±b { \mathsf { X } } _ { \mathsf { r a } } ±b { \mathsf { F } } _ { \mathsf { r } } ( ±b { \mathsf { N } } ) ,where the coefficient Xra ravalue is thesameas the \mathsf { X } _ { \mathsf { r a } } ravalue instatic equivalent load formula.

關(guān)節(jié)軸承額定載荷與壽命計(jì)算

③ 、推力關(guān)節(jié)軸承軸向額定動(dòng)載荷 \mathbf { \hat { C } } _ { \mathbf { d a } } 為 C _ { { d a } } = f _ { { a } } ( \mathbf { B } + \mathbf { C } - \mathbf { H } ) { d } _ { { m } } (N)式中系數(shù)fa與軸承摩擦副材料及結(jié)構(gòu)尺寸有關(guān)，如下表所示：

當(dāng)推力關(guān)節(jié)軸承承受不變的徑向和軸向聯(lián)合載荷時(shí)，其當(dāng)量載荷為： ±b { \mathsf { P } } ±b { \mathsf { = Y } } ±b { \mathsf { _ { a } F } } ±b { { _ { a } ( N ) } } ，式中Ya取值與當(dāng)量靜載荷中Ya取值相同。

④ 、桿端關(guān)節(jié)軸承的額定動(dòng)載荷計(jì)算方法，應(yīng)根據(jù)桿端關(guān)節(jié)軸承的結(jié)構(gòu)型式來(lái)選擇。當(dāng)桿端關(guān)節(jié)軸承為向心型時(shí)，可采用向心關(guān)節(jié)軸承的額定動(dòng)載荷計(jì)算公式計(jì)算。當(dāng)桿端關(guān)節(jié)軸承為球頭型時(shí)，可采用推力關(guān)節(jié)軸承的額定動(dòng)載荷計(jì)算公式計(jì)算。

⑤ 、當(dāng)關(guān)節(jié)軸承在一個(gè)擺動(dòng)周期內(nèi)承受變動(dòng)載荷時(shí)，其當(dāng)量動(dòng)載荷為:

3、關(guān)節(jié)軸承壽命計(jì)算方法

關(guān)節(jié)軸承的壽命是指它的摩擦系數(shù)達(dá)到規(guī)定的極限值或軸承的磨損量超過(guò)規(guī)定的極限值時(shí)，軸承工作擺動(dòng)的總次數(shù)。關(guān)節(jié)軸承的壽命與軸承的承載能力和使用條件有關(guān)。

關(guān)節(jié)軸承的球面滑動(dòng)速度為: \mathbf { v } { = } 2 . 9 0 8 9 { x } 1 0 ^ { - 4 } 1 βfdm(mm/s)，式中 d _ { m } = \xi { d _ { m } } ，折算系數(shù)的值如下表:

關(guān)節(jié)軸承中的名義接觸壓力為： \mathsf { P } \equiv \mathsf { k } / { \mathsf { P } } { \mathsf { C } _ { { d } } } ( \mathsf { N } / \mathsf { m } \mathsf { m } ^ { 2 } ) ，式中耐壓系數(shù)k如下

關(guān)節(jié)軸承工作表面的pv值必須加以限制，否則軸承會(huì)過(guò)熱，導(dǎo)致軸承壽命縮短，pv值計(jì)算公式為：

SNBAL CALCULATIONOFBASICLOAD RATINGSAND SERVICELIFEOFSPHERICALPLAINBEARING

3、The rated dynamic load ±b { C } _ { { d a } } of thrust spherical plain bearing is: C _ { { d a } } = f _ { { a } } ( \mathsf { B } + \mathsf { C } - \mathsf { H } ) \mathsf { d } _ { \mathsf { m } } (N),where the coefficientfaisrelated to thematerial offrictionpairand bore diameter of thebearing,fa valuesare listedout in the following table: fs Values of thrust spherical plain bearing

When the invariable combined load inboth radialand axial direction isapplied on the thrust spherical plain bearing,itsequivalent load is: ±b { \mathsf { P } } \mathbf { = } ±b { \mathsf { Y } } \mathbf { \bar { a } } ±b { \mathsf { F } } \mathbf { a } ( ±b { \mathsf { N } } ) ,where the ±b { γ _ { \mathsf { a } } } value is the same as the ±b { γ _ { \mathsf { a } } } value in static equivalent load formula.

④ 、Thecomputational method of rated dynamic load of rod end bearing should be selected according tothestructuretypeofrodendbearing.Iftherodendbearingisofradialtype,itcanbecalculated bythe rateddynamicload formulaofradial spherical plainbearing.If therod endbearing isofballjoint type,it canbecalculated bythe rated dynamicloadformula of thrust sphericalplain bearing.

⑤ 、when the variable dynamic load is applied on the spherical plain bearing inaswing period,its equivalent dynamic load is:

3. Computational method of spherical plain bearing life

Spherical plain bearing life means,when the friction coefficient reaches thestipulated limit value or the wear loss exceeds the stipulated limit value,the total times that bearing swings.The spherical plain bearing life is related to load capacityand working conditions.

The slide speed of spherical working surface is: \mathbf { v } { = } 2 . 9 0 8 9 { x } 1 0 ^ { - 4 } β \mathbf { f } \mathbf { d } _ { { m } } ( \mathsf {mm } / s ) , where: d _ { m } = \xi { d _ { m } } , thevalues of convert coefficient \xi are listed in the following table:

The nominal contact pressure of spherical plail bearing is: \mathsf P = \mathsf k / { \mathsf P } { \mathsf C _ { \mathsf d } } ( \mathsf N / \mathsf { m } \mathsf { m } ^ { 2 } ) where:pressure resistant coefficientk isas follows :

Values of pressure resistant coefficient k

The pv value of working surface of spherical plain bearing must be restricted,otherwise bearing would be overheated, resulting in shorter life,the formula to calculate pv value is :

關(guān)節(jié)軸承額定載荷與壽命計(jì)算

關(guān)節(jié)軸承壽命計(jì)算:關(guān)節(jié)軸承的計(jì)算磨損壽命L為：

SNBAL CALCULATIONOFBASICLOAD RATINGS AND SERVICE LIFE OF SPHERICAL PLAIN BEARING

The restricted ranges of pv value of diferent material friction pairsare listed in the following table:

Calculation of spherical plain bearing life :

The computational wear life of spherical plainbearingLis :

The coefficientsin the formulaare listed inthe following table.

關(guān)節(jié)軸承額定載荷與壽命計(jì)算

對(duì)于需要維護(hù)的關(guān)節(jié)軸承，應(yīng)定期更換軸承中的潤(rùn)滑劑，此時(shí)軸承的壽命估算方法為：LR=αnαβL (擺次)式中系數(shù) α _ { h } 、 α _ { β } 取值如下表：

當(dāng)關(guān)節(jié)軸承在分段載荷工作下，其壽命計(jì)算為：

式中：Ti一第i段載荷的作用時(shí)間；Li一第i段載荷下的計(jì)算壽命；nT=T/∑Tii=1n一載荷的分段數(shù)

SNBAL CALCULATION OFBASIC LOAD RATINGSAND SERVICELIFEOFSPHERICALPLAINBEARING

For the spherical plain bearing that needs maintenance,the lubricant should be replaced periodically,
herein estimating method of the bearing life is: V _ { R } = \arctan α _ { B } L (swing circles),
where:coefficient α _ { h } 、 α _ { β } is given by following table:

If the spherical plain bearing served undera segmented loading,its life can be calculated by the where:Ti— The acting time of i-th loading segment; Li— The calculating life of -th loading segment; n T=T/∑Ti i=1 n— Number of Load Segments

向心關(guān)節(jié)軸承RADIAL JOINT BEARING

向心關(guān)節(jié)軸承是由帶有內(nèi)球面的外圈禾 □帶有外球面的內(nèi)圈構(gòu)成一對(duì)滑動(dòng)摩擦副，主要用于機(jī)械同心度要求不高，工作表面壓力較大且又要做低速擺動(dòng)、傾斜或迥轉(zhuǎn)運(yùn)動(dòng)的機(jī)械機(jī)構(gòu)中。向心關(guān)節(jié)軸承的滑動(dòng)摩擦副可由不同材料組成，主要有兩種：潤(rùn)滑型(鋼對(duì)鋼)向心關(guān)節(jié)軸承和自潤(rùn)滑向心關(guān)節(jié)軸承。

潤(rùn)滑型(鋼對(duì)鋼)向心關(guān)節(jié)軸承滑動(dòng)表面一般經(jīng)過(guò)淬火，磷化和涂敷二硫化鉬，具有耐磨損、抗腐蝕的特點(diǎn)。這種軸承在正常情況下，周期性潤(rùn)滑是必須的。由于滑動(dòng)表面具有很高的強(qiáng)度，這種軸承特別適合于承受交變重載、沖擊載荷和靜態(tài)重載。

The radial jointbearing is composed of anouter ring withan inner spherical surfaceandan inner ring with anouter spherical surface, forming a pair of sliding friction components.It is mainly used in mechanical mechanisms where the concentricity requirementsare not high, the working surface pressureislarge,and low-speed oscillation,inclinationorrotationmovementsneedtobeperformed. Thesliding frictioncomponentsof the radial jointbearing canbemadeof differentmaterials,mainly including two types: lubricated type (steel onsteel) radialjointbearingsand self-lubricating radial joint bearings.

The sliding surfaces of the lubricated (steel-on-steel) radial joint bearings are generally hardened, phosphatedand coated with molybdenum disulfide,featuring wear resistance and corrosion resistance. Under normal circumstances, periodic lubrication is necessary for these bearings. Due to the high strength of the sliding surfaces,these bearingsare particularly suitable for withstanding alternating heavyloads,impactloadsandstaticheavyloads.

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油潤(rùn)滑向心關(guān)節(jié)軸承RADIALSPHERICALPLAINBEARINGGEG...ES(2RS)

油潤(rùn)滑向心關(guān)節(jié)軸承RADIALSPHERICALPLAINBEARING

GE...LO

GE...HO(2RS)

油潤(rùn)滑向心關(guān)節(jié)軸承RADIALSPHERICALPLAINBEARINGGEZ...ES(2RS)

油潤(rùn)滑向心關(guān)節(jié)軸承RADIALSPHERICALPLAINBEARINGGEGZ...ES(2RS)

油潤(rùn)滑向心關(guān)節(jié)軸承RADIALSPHERICALPLAINBEARINGGEWZ...ES(2RS)

油潤(rùn)滑向心關(guān)節(jié)軸承RADIALSPHERICALPLAINBEARINGGEF...ES GEK...XS(2GS)

油潤(rùn)滑向心關(guān)節(jié)軸承RADIALSPHERICALPLAINBEARING

GEBK...S GEBJ...S

油潤(rùn)滑向心關(guān)節(jié)軸承RADIALSPHERICALPLAINBEARING COM...

自潤(rùn)滑向心關(guān)節(jié)軸承RADIALSPHERICALPLAINBEARINGGE...ET(2RS)