GBZ36517-2018 English PDFUS$344.00 · In stock
Delivery: <= 3 days. True-PDF full-copy in English will be manually translated and delivered via email. GBZ36517-2018: Rolling bearings -- Methods for calculating the modified reference rating life for universally loaded bearings Status: Valid
Basic dataStandard ID: GB/Z 36517-2018 (GB/Z36517-2018)Description (Translated English): Rolling bearings -- Methods for calculating the modified reference rating life for universally loaded bearings Sector / Industry: National Standard Classification of Chinese Standard: J11 Classification of International Standard: 21.100.20 Word Count Estimation: 18,188 Date of Issue: 2018-07-13 Date of Implementation: 2019-05-01 Issuing agency(ies): State Administration for Market Regulation, China National Standardization Administration GBZ36517-2018: Rolling bearings -- Methods for calculating the modified reference rating life for universally loaded bearings---This is a DRAFT version for illustration, not a final translation. Full copy of true-PDF in English version (including equations, symbols, images, flow-chart, tables, and figures etc.) will be manually/carefully translated upon your order. Rolling bearings--Methods for calculating the modified reference rating life for universally loading bearings ICS 21.100.20 J11 National Standardization Guidance Technical Document of the People's Republic of China Bearing correction for rolling bearings under general load conditions Reference rated life calculation method (ISO /T S16281.2008, IDT) Published on.2018-07-13 2019-05-01 implementation State market supervision and administration China National Standardization Administration issued ForewordThis guidance technical document was drafted in accordance with the rules given in GB/T 1.1-2009. This guidance document uses the translation method equivalent to ISO /T S16281.2008 "Rolling bearing bearing repair under general load conditions" Positive reference to the calculation method of the rated life" and ISO /T S16281.2008/Cor.1.2009. The following technical documents have also been edited as follows. --- Incorporate the content of the technical corrigendum ISO /T S16281.2008/Cor.1.2009, which corrects equations (19) and (20). The documents of our country that have a consistent correspondence with the international documents that are normatively cited in this guidance document are as follows. ---GB/T 6391-2010 Rolling bearings rated dynamic load and rated life (ISO 281.2007, IDT) ---GB/T 7811-2015 Rolling bearing parameter symbol (ISO 15241.2012, IDT) This guidance technical document was proposed by the China Machinery Industry Federation. This guidance technical document is under the jurisdiction of the National Rolling Bearing Standardization Technical Committee (SAC/TC98). This guiding technical document drafting unit. Luoyang Bearing Research Institute Co., Ltd., Shanghai Renben Group Co., Ltd., Shanghai Tianan Bearing has Limited Company, Cixing Group Co., Ltd., Fujian Yongan Bearing Co., Ltd., Zhongshan Yingke Bearing Manufacturing Co., Ltd. The main drafters of this guiding technical document. Du Xiaoyu, Guo Changjian, Gu Jinfang, Zhao Kun, Chen Defu, Chen Qingxi, Zhao Rongduo.IntroductionSince the release of ISO 281 in.1990, more information has been gained on pollution, lubrication, installation internal stress, hardening stress and material fatigue. Knowledge of the effects of load limits and other factors on bearing life. Therefore, it is now more comprehensive to consider bearing bearing life in life calculations. the elements of. ISO 281.2007 provides a way to continuously apply new knowledge in this area when calculating the bearing's corrected rating life. however, The calculation method given in ISO 281.2007 does not take into account the effect of bearing tilt or skew on life and the bearing clearance during operation. The impact of life. This guidance document describes an advanced calculation method that takes into account not only these effects, but also Calculate the impact of pollution and other factors to provide the most accurate support. Bearing correction for rolling bearings under general load conditions Reference rated life calculation method1 ScopeThis guidance document gives a recommended method for calculating the reference life rating of a bearing correction that takes into account lubrication, contamination and bearings. Material fatigue load limit, as well as the influence of tilt or skew, bearing working clearance and internal load distribution of rolling elements. This guidance technical document The calculation method given covers more influence parameters than ISO 281. The guidance and limitations given in ISO 281 also apply to this guidance document. This calculation method is applicable to the fatigue life of the bearing Life. Other failure mechanisms, such as wear or micro-peeling (graying), are beyond the scope of this guidance document. This guidance document applies to inclined single row radial ball bearings that are subjected to radial and axial loads, taking into account radial play and tilt; This guidance document also applies to inclined single row roller bearings bearing pure radial loads, taking into account radial clearance, edge stress and inclination oblique. This guidance document also provides a reference method for analyzing internal load distribution under normal load conditions. Analysis of internal load distribution and modified reference rating life for multi-row bearings or more complex geometric bearings can be guided by this guide The formula given in the technical paper was introduced. For these bearings, the load distribution for each column needs to be considered. The main purpose of this guidance document is for computer programs, which together with ISO 281 cover the information required for life calculations. For accurate life calculations under the above specified conditions, it is recommended to use this guidance technical document or advanced calculations provided by the bearing manufacturer. Machine calculation method to determine the reference equivalent dynamic load under different load conditions.2 Normative referencesThe following documents are indispensable for the application of this document. For dated references, only dated versions apply to this article. Pieces. For undated references, the latest edition (including all amendments) applies to this document. ISO 281.2007 Rolling bearings rated dynamic load and rated life (Rolingbearings-Dynamicloadratingsand Ratinglife) ISO 15241 rolling bearing parameter symbols (Rolingbearings-Symbolsforphysicalquantities)3 symbolThe symbols given in ISO 15241 and the following symbols apply to this document, as well as the terms and definitions in Chapter 3 of ISO 281.2007. And other definitions in ISO 281. A. groove center distance of the ball bearing without play and original contact angle, mm aISO . life correction factor, system method based on life calculation A1. reliability life correction factor Ca. axial basic dynamic load rating, N Cr. radial basic dynamic load rating, N Cu. fatigue load limit, N cL. elastic constant of the rolling element when the wire is in contact, N/mm10/9 cP. elastic constant of the rolling element at point contact, N/mm3/2 cS. elastic constant of roller slice, N/mm8/9 Dpw. ball group or roller group pitch diameter, mm Dw. ball nominal diameter, mm Dwe. roller diameter for rated load calculation, mm E. modulus of elasticity, MPa1) 1) 1 MPa = 1 N/mm 2 . E(χ). The second type of complete elliptic integral e. subscript of the outer ring or seat eC. pollution coefficient F(ρ). relative curvature difference Fa. bearing axial load (axial component of bearing actual load), N Fr. bearing radial load (radial component of bearing actual load), N f[j,k]. stress correction function considering edge load i. subscript of inner ring or shaft ring i. number of rolling body columns K(χ). The first type of complete elliptic integral Lnmr. corrected reference rating life, 106r Lwe. effective roller length for rated load calculation, mm L10r. basic reference rating life, 106r Mz. Torque acting on the tilt bearing, N·mm nS. number of slices Pref, a. axial reference equivalent dynamic load, N Pref, r. radial reference equivalent dynamic load, N P(x). contour function, mm PHe. contact stress at the contact between the outer ring and the rolling element, MPa PHi. contact stress at the contact between the inner ring and the rolling element, MPa PkS. equivalent dynamic load of the kth slice of the bearing, N Q. rolling element load, N Qce. rolling element load corresponding to the basic dynamic load rating of the outer ring or race, N Qci. rolling element load corresponding to the basic dynamic load rating of the inner ring or shaft ring, N Qee. rolling body equivalent dynamic load on the outer ring or race, N Qei. the equivalent dynamic load of the rolling element on the inner ring or the shaft ring, N Qj. load of rolling element j, N Qce. Basic dynamic load rating of a bearing slice at the contact of the outer ring or race, N Qci. the basic dynamic load rating of a bearing slice at the inner ring or shaft contact, N Qee. equivalent dynamic load of a bearing slice at the outer ring or race contact, N Qei. equivalent dynamic load of a bearing slice at the inner ring or shaft contact, N Qj,k. the load on the kth slice of the roller j, N Ri. the distance between the center of curvature of the inner ring channel and the axis of rotation, mm Rp. the convex radius of the spherical roller, mm Re. outer ring or seat channel radius, mm Ri. inner ring or shaft ring channel radius, mm s. bearing radial working clearance, mm Xk. the distance between the center of the kth slice and the center of the roller, mm Z. number of rolling bodies α. bearing nominal contact angle, (°) Jj. working contact angle of rolling element j, (°) 00. original contact angle, (°) γ. auxiliary parameter, γ=Dwcosα/Dpw δ. total elastic deformation of the rolling element in contact with the inner and outer rings, mm Δj. elastic deformation of rolling element j, mm Δj,k. elastic deformation of the kth slice of roller j, mm Δa. relative axial displacement between the two rings of the bearing, mm Δr. relative radial displacement between the two rings of the bearing, mm λ. Consider the reduction factor of stress concentration ν. correction factor for exponential change νE. Poisson's ratio ρ. the curvature of the contact surface, mm-1 ∑ρ. curvature and mm-1 Φj. angular position of the rolling element j, (°) χ. the ratio of the long axis of the contact ellipse to the short half axis ψ. Total skew angle between inner and outer raceways, (°) Ψj. the total skew angle between the inner raceway and the outer raceway in the plane of the rolling element j, (°)4 ball bearing4.1 General This chapter describes radial and thrust ball bearings that are subjected to radial and axial loads, taking into account radial clearance and tilt. Analysis of internal load distribution. For the calculation of different geometrical parameters or under more complex load conditions, this technical text can be The formula given in the article is introduced. The internal load distribution of the bearing is only for static equilibrium calculation; it is assumed that dynamic effects such as centripetal force and gyroscopic force are not significant, this assumption Generally effective for low and medium speeds. At high speeds, the effects of centripetal force and gyroscopic force may become prominent and may significantly change the internal load of the bearing distributed. 4.2 Bearing internal load distribution 4.2.1 Elastic deformation of point contact The elastic deformation of the point contact can be calculated by Hertz theory. The elastic deformation δ of a single point contact is. δ= 4.5 1-νE2 πE K χ( ) ∑ρ χ2E (χ) Q2/3 (1) The ratio of the elliptical long semi-axis to the short semi-axis is the root of equation (2). Χ2-1 K χ( ) Eχ( ) -1 Êê úú-Fρ( )=0 (2) Among them, the first type of complete elliptic integral K (χ). K χ( )=∫ π/2 1- 1- Χ2 ÷ sinφ( ) 2 Êê Úú -1/2 Dφ (3) The second type of complete elliptic integral E(χ). Eχ( )=∫ π/2 1- 1- Χ2 ÷ sinφ( ) 2 Êê Úú Dφ (4) Curvature at the inner ring contact and ∑ρi. ∑ρi= Dw 1-γ- Dw 2ri ÷ (5) Curvature at the contact of the outer ring and ∑ρe. ∑ρe= Dw 1 γ- Dw 2re ÷ (6) The relative curvature difference Fi(ρ) at the inner ring contact. Fiρ( )= 1-γ Dw 2ri ÷/2 1-γ- Dw 2ri ÷ (7) The relative curvature difference Fe(ρ) at the contact of the outer ring. Feρ( )= 1 γ Dw 2re ÷/2- 1 γ- Dw 2re ÷ (8) The total elastic deformation δ in contact with the inner and outer rings is. δ= 4.5 1-νE2 πE K χi( ) ∑ρi χi2Eχi( ) K χe( ) ∑ρe χe2Eχe( ) úQ 2/3 (9) This derives the load-deformation relationship formula (10). Q=cPδ3/2 (10) Wherein, the elastic constant cP is. cP=1.48 1-νE2 K Χi( ) ∑ρi χi2Eχi( ) K χe( ) ∑ρe χe2Eχe( ) -3/2 (11) 4.2.2 Static balance For radial ball bearings with radial working clearance s measured in the diameter direction, original contact angle α0=arccos[1―(s/2A)] In terms of the total elastic deformation δj of the rolling elements. Δj= \u003cAcosα0 δrcosφj( ) 2 (Asinα0 δa Risinψcosφj)2 -A\u003e (12) If the right side of equation (12) is a negative value, it is set to zero. Note. The original contact angle α0 is generally different from the nominal contact angle α in ISO 281. In equation (12), A is the center-of-gravity of the channel radius ri and re, see Figure 1. A=ri re-Dw (13) Figure 1 Auxiliary geometry parameters The distance Ri between the center of curvature of the inner ring channel and the axis of rotation is. Ri= Dpw 2 ri- Dw ÷cosα0 (14) The contact load can be calculated by the elastic deformation of the rolling elements using equation (10), and these contact loads act on the rolling contact working contact angle αj Direction. Jj=arctan Asinα0 δa Risinψcosφj Acosα0 δrcosφj ÷ (15) According to the static balance conditions of the external force and moment acting on the bearing ring and the reaction force of the rolling element, the equations can be obtained, see 4.2.2.1 and 4.2.2.2, which can be solved iteratively. 4.2.2.1 The sum of all forces Fr-cP∑ j=1 Δj3/2cosαjcosφj=0 (16) Fa-cP∑ j=1 Δj3/2sinαj=0 (17) 4.2.2.2 sum of all moments Mz- Dpw ÷cP∑ j=1 Δj3/2sinαjcosφj=0 (18) 4.3 rated life 4.3.1 Rolling element load corresponding to the basic dynamic load rating 4.3.1.1 General The rolling element loads Qci and Qce corresponding to the basic dynamic load ratings of the inner and outer rings are derived from ISO /T R1281-1 [1]. 4.3.1.2 radial ball bearings For the inner ring, the Qci of single and multi-row bearings can be calculated using the radial basic dynamic load rating Cr. Qci= Cr 0.407Zcosα( )i0.7 1 1.044 1-γ 1 γ 1.72 ri Re 2re-Dw 2ri-Dw Êê Úú 0.41 { } 10/3æ (19) For the outer ring, the Qce of single and multi-row bearings can be calculated using the radial basic dynamic load rating Cr. Qce= Cr 0.389Zcosα( )i0.7 1 1.044 1-γ 1 γ 1.72 ri Re 2re-Dw 2ri-Dw Êê Úú 0.41 { } -10/3æ (20) 4.3.1.3 Thrust ball bearing with nominal contact angle α≠90° For inner rings or shaft rings, Qci can be calculated using the axial basic dynamic load rating Ca. Qci= Ca Zsinα 1 1-γ 1 γ 1.72 ri Re 2re-Dw 2ri-Dw Êê Úú 0.41 { } 10/3æ (twenty one) For the outer ring or race, the Qce can be calculated using the axial basic dynamic load rating Ca. Qce= Ca Zsinα 1 1-γ 1 γ 1.72 ri Re 2re-Dw 2ri-Dw Êê Úú 0.41 { } -10/3æ (twenty two) 4.3.1.4 Thrust ball bearing with nominal contact angle α=90° For the shaft collar, Qci can be calculated using the axial basic dynamic load rating Ca. Qci= Ca Z 1 Ri Re 2re-Dw 2ri-Dw Êê Úú 0.41 { } 10/3æ (twenty three) For the race, Qce can be calculated using the axial basic dynamic load Ca. Qce= Ca Z 1 Ri Re 2re-Dw 2ri-Dw Êê Úú 0.41 { } -10/3æ (twenty four) 4.3.2 Rolling body equivalent dynamic load The rolling element equivalent dynamic load Qei of the inner ring or the shaft ring that rotates relative to the bearing load is. Qei= Z∑ j=1 Qj3 (25) The rolling element equivalent dynamic load Qei of the inner ring or the shaft ring which is stationary with respect to the bearing load is. Qei= Z∑ j=1 Qj10/3 (26) The equivalent dynamic load Qee of the rolling element of the outer ring or race relative to the bearing load is. Qee= Z∑ j=1 Qj10/3 (27) The rolling element equivalent dynamic load Qee of the outer ring or race rotating relative to the bearing load is. Qee= Z∑ j=1 Qj3 (28) For a normal load distribution, the difference between the equivalent dynamic load of the rolling element of the rotating inner ring and the stationary inner ring is less than 2%. The difference The difference is generally negligible, especially when the equivalent dynamic load deviations of the rolling elements on the inner and outer rings can partially compensate each other. When calculating, it is generally considered that the inner ring is rotating and the outer ring is stationary. 4.3.3 Basic reference rating life The basic reference rated life L10r can be calculated using the rolling element load and the rolling element equivalent dynamic load corresponding to the basic dynamic load rating. L10r= Qci Qei -10/3 Qce Qee -10/3é Êê Úú -9/10 (29) 4.3.4 Reference equivalent dynamic load The reference equivalent dynamic load Pref,r of the radial ball bearing is. Pref, r= Cr L10r1/3 (30) The reference equivalent dynamic load Pref, a of the thrust (axial) ball bearing is. Pref, a= Ca L10r1/3 (31) 4.3.5 Correcting the reference rating life The corrected reference life of the radial ball bearing Lnmr can be calculated using the life correction factor aISO , aISO can use ISO 281.2007 Equation (31) ~ formula (33) to calculate. Lnmr=a1aISO Cr Pref,r (32) For thrust ball bearings, the corrected reference rating life is. Lnmr=a1aISO Ca Pref,a (33) Among them, the life correction coefficient aISO can be calculated using the formula (37) to the formula (39) of ISO 281.2007.5 roller bearings5.1 General This chapter describes the internal load distribution of radial roller bearings subjected to radial loads under consideration of radial clearance and tilt. Analysis. For different geometrical parameters of bearings or analytical calculation methods under more complex load conditions, the formula given in this technical document can be used. roll out. The internal load distribution of the bearing is only for static equilibrium calculation; it is assumed that dynamic effects such as centripetal force and gyroscopic force are not significant, this assumption Generally effective for low and medium speeds. At high speeds, the effects of centripetal force and gyroscopic force may become prominent and may significantly change the internal load of the bearing distributed. 5.2 Bearing internal load distribution 5.2.1 Elastic deformation of line contact According to reference [4], the elastic deformation of the line contact rolling body can be described as. Q=cLδ10/9 (34) Among them, the elastic constant cL of the steel contact parts is. cL=35948Lwe8/9 (35) Figure 2 Total deformation of the roller contact 5.2.2 Slice model For the case where the raceway is cylindrical, the elastic deformation of the skewed rolling body can be described by a slicing model. To calculate the elastic deformation, the rollers are divided into nS identical slices, as shown in Figure 3. The number of slices nS should be at least 30. Calculate the load-deformation formula of the load qj,k on the kth slice of the roller j. Qj,k=cSδj,k10/9 (36) Where the elastic constant cS is. cS= 35948Lwe8/9 nS (37) For the radial displacement δr of the inner ring, the elastic deformation δj of the rolling element j is. Δj=δrcosφj- (38) In the plane of the rolling element j, the total skew angle ψj (shown in Figure 4) between the raceways is. Ψj=arctantanψcosφj( ) (39) This derives the elastic deformation δj,k of the kth slice of the rolling element j. Δj,k=< δj-xktanψj> (40) If the right side of equation (40) is a negative value, it is set to zero. Note. The assumptions in equation (40) are not completely correct when there is the effect of the rib load and the difference between the inner and outer ring contours. Further subtract the conto......Tips & Frequently Asked Questions:Question 1: How long will the true-PDF of GBZ36517-2018_English be delivered?Answer: Upon your order, we will start to translate GBZ36517-2018_English as soon as possible, and keep you informed of the progress. The lead time is typically 1 ~ 3 working days. The lengthier the document the longer the lead time.Question 2: Can I share the purchased PDF of GBZ36517-2018_English with my colleagues?Answer: Yes. The purchased PDF of GBZ36517-2018_English will be deemed to be sold to your employer/organization who actually pays for it, including your colleagues and your employer's intranet.Question 3: Does the price include tax/VAT?Answer: Yes. Our tax invoice, downloaded/delivered in 9 seconds, includes all tax/VAT and complies with 100+ countries' tax regulations (tax exempted in 100+ countries) -- See Avoidance of Double Taxation Agreements (DTAs): List of DTAs signed between Singapore and 100+ countriesQuestion 4: Do you accept my currency other than USD?Answer: Yes. If you need your currency to be printed on the invoice, please write an email to Sales@ChineseStandard.net. In 2 working-hours, we will create a special link for you to pay in any currencies. Otherwise, follow the normal steps: Add to Cart -- Checkout -- Select your currency to pay. |
