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1、ANSI/AGMA9104-A06 ANSI/AGMA 9104-A06 AMERICAN NATIONAL STANDARD Flexible Couplings - Mass Elastic Properties and Other Characteristics (Metric Edition) ii Flexible Couplings - - Mass Elastic Properties and Other Characteristics (Metric Edition) ANSI/AGMA 9104-A06 Metric Edition of ANSI/AGMA 9004-A99
2、 ApprovalofanAmericanNationalStandardrequiresverificationbyANSIthattherequire- ments for due process, consensus, and other criteria for approval have been met by the standards developer. Consensusis establishedwhen,inthejudgmentoftheANSIBoardofStandardsReview, substantial agreement has been reached
3、by directly and materially affected interests. Substantialagreementmeansmuchmorethanasimplemajority,butnotnecessarilyuna- nimity.Consensus requires that all views and objections be considered, and that a concerted effort be made toward their resolution. TheuseofAmericanNationalStandardsiscompletelyv
4、oluntary;theirexistencedoesnot in any respect preclude anyone, whether he has approved the standards or not, from manufacturing, marketing, purchasing, or using products, processes, or procedures not conforming to the standards. The American National Standards Institute does not develop standards an
5、d will in no circumstances give an interpretation of any American National Standard. Moreover, no person shall have the right or authority to issue an interpretation of an American National StandardinthenameoftheAmericanNationalStandardsInstitute. Requestsforinterpre- tation of this standard should
6、be addressed to the American Gear Manufacturers Association. CAUTION NOTICE: AGMA technical publications are subject to constant improvement, revision, or withdrawal as dictated by experience. Any person who refers to any AGMA technical publication should be sure that the publication is the latest a
7、vailable from the Association on the subject matter. Tables or other self-supporting sections may be referenced. Citations shouldread: See ANSI/AGMA9104-A06,FlexibleCouplings - - MassElasticPropertiesandOtherCharac- teristics(MetricEdition),publishedbytheAmericanGearManufacturersAssociation,500 Mont
8、gomery Street, Suite 350, Alexandria, Virginia 22314, http:/www.agma.org. Approved: December 18, 2006 ABSTRACT Thisstandardprovidescalculationmethodsrelatedtomasselasticpropertiesofflexiblecouplings. Properties discussed include coupling mass, polar mass moment of inertia, center of gravity, axial s
9、tiffness, axial natural frequency, lateral stiffness, lateral natural frequency, and torsional stiffness. Calculation examples are pro- vided in informative annexes. Published by American Gear Manufacturers Association 500 Montgomery Street, Suite 350, Alexandria, Virginia 22314 Copyright 2006 by Am
10、erican Gear Manufacturers Association All rights reserved. No part of this publication may be reproduced in any form, in an electronic retrieval system or otherwise, without prior written permission of the publisher. Printed in the United States of America ISBN: 1-55589-900-5 American National Stand
11、ard -,-,- ANSI/AGMA 9104- -A06AMERICAN NATIONAL STANDARD iii AGMA 2006 - All rights reserved Contents Forewordiv. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Scope1. . . . . . . . . . . . . . . . . . . . . . . . . . . .
12、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Definitions and symbols1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3Responsibility2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13、. . . 4Coupling characteristics3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5Loads on connected equipment8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography32. . . . . . . . . . . . . . . . . . . . . . . . . . . .
14、. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Annexes AExample of coupling component mass9. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . BExample of coupling component polar mass moment of inertia, JM12. . . . . . . . CExample of half coupling center of gravity16.
15、. . . . . . . . . . . . . . . . . . . . . . . . . . . . DMass, polar mass moment of inertia, and center of gravity of homogeneous solids20. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ETorsional natural frequency calculation m
16、ethods21. . . . . . . . . . . . . . . . . . . . . . . FExample of calculation method for torsional stiffness23. . . . . . . . . . . . . . . . . . . . GDerivation and example calculation for axial natural frequency26. . . . . . . . . . . HDerivation of equations for lateral natural frequency28. . . .
17、 . . . . . . . . . . . . . . . . IExample calculations for lateral natural frequencies30. . . . . . . . . . . . . . . . . . . . Tables 1Symbols2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Location of lumped mass3. . . . . . .
18、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Figures 1Coupling axial natural frequency model6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Simply supported floating shaft on rigid supports7. . . . . . . . . . . . . . . . . . . . . . . . 3Simply suppor
19、ted floating shaft with central mass on rigid supports7. . . . . . . . 4Schematic of a coupling as connected to a system (A) and its associated free body diagram (B)7. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . -,-,- ANSI/AGMA 9104- -A06AMERICAN NATIO
20、NAL STANDARD iv AGMA 2006 - All rights reserved Foreword The foreword, footnotes and annexes, if any, in this document are provided for informational purposes only and are not to be construed as a part of AGMA Standard 9104-A06,FlexibleCouplings - - Mass ElasticProperties andOtherCharacteristics(Met
21、ric Edition. This standard was developed through intensive study of existing practices, standards, text books and literature. The intent of this standard is tooffer torotating equipmentdesigners, builders and users, a standard for design practice and methods of calculation of certain physicalandmass
22、elasticpropertiesofflexiblecouplings. Ingeneral,theinformationinthis standardis aconsolidation ofthe mostcommon practices and calculations currently inuse by flexible coupling manufacturers, rotating equipment designers and users. This AGMA standard utilizes the physical dimensions and properties of
23、 the coupling or couplingcomponentsforthecalculationmethods. Itdoesnotcovercouplingcharacteristics that are included in other AGMA flexible coupling standards, such as coupling balance, which is addressed in ANSI/AGMA 9000-C90, Flexible Couplings - - Potential Unbalance Classification. Work was star
24、ted on ANSI/AGMA 9004-A99 in 1989 at the suggestion of the AGMA Flexible Couplings Committee to achieve uniformity in the methods of calculation in inch units of measure. ANSI/AGMA 9004-A99 was approved as a standard by the AGMA membership on March 4, 1999, and as an American National Standard on Au
25、gust 3, 1999. The first draft of ANSI/AGMA 9104-A06, in SI units of measure, was made in May 2000. It was approved by the AGMA membership in July 2006. It was approved as an American National Standard on December 18, 2006. Suggestions for improvement of this standard will be welcome. They should be
26、sent to the AmericanGearManufacturersAssociation,500MontgomeryStreet,Suite350,Alexandria, Virginia 22314. -,-,- ANSI/AGMA 9104- -A06AMERICAN NATIONAL STANDARD v AGMA 2006 - All rights reserved PERSONNEL of the AGMA Flexible Couplings Committee Chairman: Glenn PokrandtRexnord Industries Coupling Oper
27、ations. . . . . . . . . . . . . . . . . . . . . . . . . . . Vice Chairman: Jim PaluhAmeridrives Coupling. . . . . . . . . . . . . . . . . . . . . . . . . . . . ACTIVE MEMBERS T. HewittLord Corporation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . D. HindmanRexnord Indust
28、ries Coupling Operations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . D. LyleAmeridrives Coupling. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . H.A. Lynn, IIIRexnord Industries Coupling Operations. . . . . . . . . . . . . . . . . . . . . . .
29、 . . . . . . . . . . . . J.W. MahanLovejoy, Inc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . J.R. MancusoKop-Flex/Emerson Power Transmission. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . G.E. SaundersAmeridrives Coupling. . . . . . . . . . . . . . . . .
30、. . . . . . . . . . . . . . . . T. SchatzkaRexnord Industries, Inc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . J. SherredAmeridrives Coupling. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . J. SmihalT.B. Woods, Inc . . . . . . . . . . . . . . . . .
31、. . . . . . . . . . . . . . . . . . . . R. WhitneyRiverhawk Company. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . -,-,- ANSI/AGMA 9104- -A06AMERICAN NATIONAL STANDARD vi AGMA 2006 - All rights reserved (This page is intentionally blank) -,-,- 1 AGMA 2006 - All rights reserve
32、d ANSI/AGMA 9104- -A06AMERICAN NATIONAL STANDARD American National Standard - Flexible Couplings - Mass Elastic Properties and Other Characteristics (Metric Edition) 1 Scope This standard presents information and calculation methods for the mass elastic properties and other characteristics of flexib
33、le couplings. This data is of importance to system designers for the selection of system components and natural frequency calcula- tions. Calculation methods of the properties of the coupling flexible elements are not included in this standard. Duetothediversity ofcoupling types,this standard presen
34、ts generally accepted practices rather than rigorous engineering analysis.Some characteristicsarenotcoveredinthisstandard,such ascouplingbalancewhichiscoveredinANSI/AGMA 9000-C90, Flexible Couplings - - Potential Unbal- ance Classification. 2 Definitions and symbols 2.1 Definitions 2.1.1 Flexible el
35、ement The part of a coupling which provides flexibility. Various flexible element designs utilize a number of operatingprinciplestoprovideflexibility. Thedesign of this element determines the character of the coupling in terms of reaction forces, dynamics and reliability.For this standard, common fl
36、exible element types have been grouped into three major categories which are defined below. Note that the character of a particular flexible element type may cross or fall outside the definitions below. Also note the properties of flexible elements themselves are not covered in this standard. The re
37、ader is directed to the appropriate coupling manufacturers for infor- mation on the properties of a particular type of flexible element. 2.1.2 Metallic element A form of flexible element which accommodates misalignment by material deflection of a metal or compositemember. Theseelements are very much
38、 like springs in that they have a free form shape and will resist a change in shape with a reaction force. Examplesofmetallicelementsaremetalorcompos- itecontoureddiaphragm,convoluteddiaphragmand disc. 2.1.3 Mechanical element A form of flexible element which accommodates misalignment by sliding or
39、rolling on mating sur- faces.These parts normally require lubrication. These elements do not have a free state position. They can be at rest at any combination of axial and angular positions within their flexible capability. Mechanical elements resist change in axial and angular position mainly as a
40、 function of shaft torque and coefficient of friction between the mating sur- faces. Examples of mechanical elements are gear, grid and pin-bushing. 2.1.4 Elastomeric element Theseflexibleelementsarecharacterizedbytheuse ofanelastomer. Therearemanytypesofelastomer- ic elements which accommodate misa
41、lignment through varying degrees of material deflection and sliding motion. Reaction forces of these types of flexible elements are determined by element config- uration, material stiffness, coefficient of friction and torque. They can be categorized into two general types, compression and shear, ba
42、sed upon the way torque is transmitted through the flexible element. Because of the great variety of designs some actually fit both categories in varying degrees. 2.2 Symbols The symbols used in this standard are, wherever possible, consistent with other approved AGMA documents. It is known, because
43、 of certain limita- -,-,- ANSI/AGMA 9104- -A06AMERICAN NATIONAL STANDARD 2 AGMA 2006 - All rights reserved tions, that some symbols, their titles and their definitions, as used in this document, are different than in similar literature. Table 1 is a list of the symbols used in this standard, along w
44、ith the associated terms. The “Where first used” column gives the clause or equation number where the particular symbol is first used. NOTE:Some of the symbols and terminology con- tained in this document may differ from those used in other documents and AGMA standards. Users of this standard should
45、 assure themselves that they are using the symbols, terminology and definitions in the manner indicated herein. 3 Responsibility Thecouplingmanufacturerisresponsibleforprovid- ing accurate coupling data and information for the following calculation methods. The coupling mass elasticpropertieswillaff
46、ectthesystemperformance. Thecustomerisresponsibleforsystemanalysisand actual response. Table 1 - - Symbols SymbolDescriptionUnits Where first used ANFAxial natural frequencycpm4.5.1 DiInside diametermmEq 4 DoOutside diametermmEq 4 GShear modulusN/mm2 (MPa) Eq 4 IMoment of inertia of shaftmm44.2 JMPo
47、lar mass moment of inertiakg m2Eq 2 KBEquipment bearing lateral stiffnessN/mmFigure 4 KCCoupling tubular shaft or spacer tube portion lateral stiffnessN/mmEq 10 KDTorsional stiffness for disk sectionNm/radEq 5 Kd1Metallic or composite element axial stiffness of end 1 of the coupling N/mmFigure 1 Kd2
48、Metallic or composite element axial stiffness of end 2 of the coupling N/mmFigure 1 KLLateral stiffness of coupling flex elementN/mmFigure 4 KSConnected shaft lateral stiffnessN/mmFigure 4 KsmCoupling suspended mass axial spring rateN/mmEq 6 KTTorsional stiffness for tube sectionNm/radEq 4 koRadius of gyrationmEq 2 kEEquivalent lateral stiffness of the systemN/mmEq 9 LLengthmmEq 4 lDistance between flex/load pointsmmEq 7 McTotal mass of couplingkgFigure 4 mMasskg4.1 mcCentral masskgEq 8 mcsSuspended coupling center masskgFigure 1 mnMass of the nth component or sectionkgEq 3 mtMas