Last edited by Moogugal
Saturday, July 25, 2020 | History

5 edition of geometric theory of conjugate tooth surfaces found in the catalog.

geometric theory of conjugate tooth surfaces

by Ta-jen Wu

  • 91 Want to read
  • 30 Currently reading

Published by World scientific in Singapore, Teanech, N.J .
Written in English

    Subjects:
  • Gearing -- Design and construction.

  • Edition Notes

    Includes index.

    StatementWu Da-ren, Luo Jia-shun.
    ContributionsLuo, Jia-shun.
    Classifications
    LC ClassificationsTJ184 .W85 1992
    The Physical Object
    Paginationviii, 192 p. :
    Number of Pages192
    ID Numbers
    Open LibraryOL1709605M
    ISBN 109810207840
    LC Control Number92011297

      Each face of the block is called a surface; and if the faces are made smooth by polishing, so that, when a straight edge is applied to any one of them, the straight edge in every part will touch the surface, the faces are called plane surfaces, or planes. Fig. 1. 2. The intersection of any two of these surfaces is called a line. 3. Special Book Collections -gear and a mathematical model of face-gear with curvilinear shaped teeth is developed according to the differential geometry and meshing theory. The generation of a conjugated pinion is based on application of a tilted head-cutter as well. use space geometric knowledge to build tooth surface equation by tooth.

    2 Kinematic Geometry of Planar Gear Tooth Profiles Introduction A Unified Approach to Tooth Profile Synthesis Tooth Forms Used for Conjugate Motion Transmission Cycloidal Tooth Profiles Involute Tooth Profiles Circular-arc Tooth Profiles Comparative Evaluation of Tooth Profiles Then, the bearing contact will be localized and the face-gear drive will be less sensitive to misalignment. Point contact between the pinion and face-gear tooth surfaces is provided by application of a shaper of number of teeth N s > N p where N p is the number of teeth of the pinion of the drive (see Section ).

    2 Kinematic Geometry of Planar Gear Tooth Profiles 55 Introduction 55 A Unified Approach to Tooth Profile Synthesis 55 Tooth Forms Used for Conjugate Motion Transmission 56 Cycloidal Tooth Profiles 56 Involute Tooth Profiles 59 Circular-arc Tooth Profiles 63 Comparative Evaluation of Tooth Profiles Litvin et al. [1] proposed a method for generation of spiral bevel gears with conjugate tooth surfaces. Ideally such conjugate pair provides zero transmission errors. In practice, spiral bevel gears are frequently required to operate under misalignment caused by mounting tolerances and deflections.


Share this book
You might also like
Chinese communes

Chinese communes

Biology, the world of life

Biology, the world of life

historic towne of St. George, Bermuda

historic towne of St. George, Bermuda

1991 redistricting manual

1991 redistricting manual

Psychrometry and psychrometric charts

Psychrometry and psychrometric charts

California grizzly

California grizzly

Painswick

Painswick

Sybase SQL server

Sybase SQL server

Market conditions and retirement of physical capital

Market conditions and retirement of physical capital

Exercises in strategy and tactics

Exercises in strategy and tactics

Just Abt Anything Moved

Just Abt Anything Moved

Washingtons threatened and endangered wildlife

Washingtons threatened and endangered wildlife

Organization, content and methods of adult education

Organization, content and methods of adult education

Geometric theory of conjugate tooth surfaces by Ta-jen Wu Download PDF EPUB FB2

This English translation, with revisions, of the well-known Chinese edition presents systematically the geometric theory of conjugate tooth surfaces in a more or less rigorous by:   A Geometric Theory of Conjugate Tooth Surfaces This English translation, with revisions, of the well-known Chinese edition presents systematically the geometric theory of conjugate tooth surfaces in a more or less rigorous form.

Print book: EnglishView all editions and formats Summary: This English translation, with revisions, of the well-known Chinese edition presents systematically the geometric theory of conjugate tooth surfaces in a more or less rigorous form. This English translation, with revisions, of the well-known Chinese edition presents systematically the geometric theory of conjugate tooth surfaces in a more or less rigorous form.

Contact Equation. Conjugate Surfaces. Cylindrical Spur Gears. Willis' Theorem and a Generalization. Limit Normal Points of the First and Second Kinds.

Spur Rack and Pinion. Expressions for the Limit Functions. Normal to Contact Curve. Limit Normal Curvature. An Identity Connecting the Limit Functions. A Generalization of the Formula of Euler.

Conjugate surfaces are those of interacting teeth providing regular transmission ratio. From the point of view of geometry, any surface, the toothed one included, can be considered as an envelope of the one/two/multi-parametric family of surfaces, formed by one of the generating elements: a dot, a line, or a surface.

Space curve meshing theory is a new design theory for gearing mechanism, which is different from the principle of conjugate surface meshing.

It transmits power and movement according to pairs of conjugated curves on the tooth profiles. Theoretically, both local conjugate theory and local synthesis method cannot ensure the contact performance on the entire tooth surface resulting in uncontrolled contact pattern and undesirable.

Dyson, A.,A General Theory of the Kinematics and Geometry of Gears in Three Dimensions, Clarendon Press, Oxford. Wu Da-ren, and Luo Jia-shun,A Geometric Theory of Conjugate Tooth Surfaces, World Scientific, Singapore.pose only the minimum geometric requirements for tooth contact, while allowing the relative slipping of profiles in order to allow modelling of non-conjugate tooth action.

Noticing that vectors ∂ r 1 ∂ r 1 and ∂ r 2 ∂ r 2 lie on the same plane x 1 x 2. However, there has been no detailed research on the fundamental elements of the surface. This study develops necessary conditions for determining these curvatures and principal directions for conjugate gearing with a contact line by introducing the concept of geodesic torsions.

[S(00)]. A study on geometry design of spiral bevel gears based on conjugate curves is put forward in this paper. According to the theory of conjugate curves, generation principle and mathematical model of. About this book.

Building on the first edition published in this new edition of Kinematic Geometry of Gearing has been extensively revised and updated with new and original material. This includes the methodology for general tooth forms, radius of torsure’, cylinder of osculation, and cylindroid of torsure; the author has also completely.

- - QBD Books - Buy Online for Better Range and Value. Chapter 2 Kinematic Geometry of Planar Gear Tooth Profiles (pages 55–84): Chapter 3 Generalized Reference Coordinates for Spatial Gearing—the Cylindroidal Coordinates (pages 85–): Chapter 4 Differential Geometry (pages –): Chapter 5 Analysis of Toothed Bodies for Motion Generation (pages –).

Tooth surface geometry optimization of spiral bevel and hypoid gears generated by duplex helical method with circular profile blade. Journal of Central South University, Vol. 23, Issue. 3, p. Journal of Central South University, Vol. 23, Issue.

3, p. The theoretical shape of the tooth profile used in most modern gears is an involute. When precision gears are cut by modern gear-cutting machines, the accuracy with which the actual teeth conform to their theoretical shape is quite remarkable, and far exceeds the accuracy which is attained in the manufacture of most other types of machine elements.

Full text of "NASA Technical Reports Server (NTRS) How to determine spiral bevel gear tooth geometry for finite element analysis" See other formats NASA Technical Memorandum AVSCOM Technical Report C How to Determine Spiral Bevel Gear Tooth Geometry for Finite Element Analysis Robert F.

Handschuh Propulsion Directorate U.S. Army Aviation Systems. Preface xiii Part I FUNDAMENTAL PRINCIPLES OF TOOTHED BODIES IN MESH 1 Introduction to the Kinematics of Gearing 3 Introduction 3 An Overview 3 Nomenclature and Terminology 5 Reference Systems 8 The Input/Output Relationship 9 Rigid Body Assumption 11 Mobility 11 Arhnold-Kennedy Instant Center Theorem 14 Euler-Savary Equation for Envelopes 18 Conjugate.

This English translation, with revisions, of the well-known Chinese edition presents systematically the geometric theory of conjugate tooth surfaces in a more or less rigorous form. The concepts of the two kinds of limit points and limit curves are explained in some detail and a general formula for induced normal curvature is derived, of which.

It is obvious that the basics of gear technology is the theory of geometry for conjugate action of mating gears for transmission of motion through contacting tooth flanks.

Teeth of actual gears though contact not only on tooth flank to tooth flank, but also at edges of tooth tip and of tooth sides.Baxter, M.L., Basic geometry and tooth contact of hypoid gears.

Industrial Mathematics. Google Scholar [2]. Litvin, F.L. and Kin, V., Computerized simulation of meshing and bearing contact for single-enveloping worm-gear drives. ASME Journal of Mechanical Design.

v Google Scholar [3].Kinematic Geometry of Conjugate Tooth Profiles. Generalized Reference Coordinates for Spatial Gearing: The Cylindroidal Coordinates.

Analysis of Toothed Bodies for Motion Generation. Manufacture of Toothed Bodies. Surface Topology and Conjugate Surfaces. THE INTEGRATED DESIGN AND MANUFACTURING PROCESS. Geometric Synthesis Process.