Satoshi Oda

Bio: Satoshi Oda is an academic researcher from Fukuyama University. The author has contributed to research in topics: Deflection (engineering) & Flexural strength. The author has an hindex of 7, co-authored 90 publications receiving 252 citations. Previous affiliations of Satoshi Oda include Tottori University & Hitachi.

Stress Analysis of Thin Rim Spur Gears by Finite Element Method

Abstract: The root stresses of thin rim spur gears are investigated by means of the two-dimensiona1 finite element method (FEM) with triangular elements. The effects of boundary constraints for gear models and of adjacent teeth on the root stress distribution are discussed. The gear tooth model with a single tooth is shown to be available for a sufficiently precise evaluation of root stresses. A suitable rim thickness of gear model for the stress analysis by FEM is proposed. The true root stresses are computed and measured for gears of different rim thicknesses. The true stresses computed by FEM are in a fairly good agreement with measured ones. On the basis of these investigations the effects of rim thickness on the root stresses and on the critical sections in thin rim spur gears are also discussed.

Root Stress of Thin-Rimmed Internal Spur Gear Supported with Pins : Vibration, Control Engineering, Engineering for Industry

Abstract: This paper reports on a study on the root stress of a thin-rimmed internal spur gear supported with pins. Root stress analyses by the finite element method (FEM) for internal spur gears of various rim thicknesses supported with pins were carried out. The effects of constraint conditions for gear models on the root stresses and the deformation of the rim are discussed, and the relations between the root stresses, the deformation of the rim and the position of the loaded teeth are indicated. The effects of the number of pins and the rim thickness on the root stresses are clarified to a considerable extent.

Practical Formula for Tooth Deflection of Internal Spur Gear

Abstract: In the present paper, the tooth deflections of internal spur gears with various numbers of teeth and addendum modification coefficients were calculated by 2-dimensional elasticity theory and mapping function. The results were compared with those by 2-dimensional finite element method (FEM) and the formula proposed by Hidaka, et al., and the validity of tooth deflection analysis of internal spur gear by the theory of elasticity was confirmed. The tooth deflections of internal spur gears due to Hertz contact calculated by the theory of elasticity were compared with those by Lundberg's and Weber's formula. Furthermore a practical formula for tooth deflection of internal spur gear was derived on the basis of these calculated results.

Acoustic Emission in Bending Fatigue Process of Spur Gear Teeth.

Abstract: This paper presents a study on acoustic emission (AE) in the bending fatigue process of spur gear teeth. Research was conducted on AE signals, AE cumulative event count, AE event count rate, frequency spectra of AE signals and crack length in the bending fatigue process of case-hardened and normalized spur gear teeth. The relationship between the AE parameters and the fatigue crack propagation, as well as the effects of the gear material and the case depth on the AE characteristics in the fatigue damaging process of the gear tooth, was determined. Basic data were obtained for the prediction of bending fatigue crack initiation of the gear tooth by means of the AE method.

Dudley's Handbook of Practical Gear Design and Manufacture

Abstract: Foreword, Preface Gear-Design Trends Manufacturing Trends Small, Low-Cost Gears for Toys, Gadgets and Mechanisms Appliance Gears Machine Tools Control Gears Vehicle Gears Transportation Gears Marine Gears Aerospace Gears Industrial Gearing Gears in the Oil and Gas Industry Mill Gears Selection of the Right Kind of Gear External Spur Gears External Helical Gears Internal Gears Straight Bevel Gears Zerol Bevel Gears Spiral Bevel Gears Hypoid Gears Face Gears Crossed-Helical Gears (Nonenveloping Worm Gears) Single-Enveloping Worm Gears Double-Enveloping Worm Gears Spiroid Gears Preliminary Design Considerations Stress Formulas Calculated Stresses Gear-Design Limits Gear-Strength Calculations Gear Surface-Durability Calculations Gear Scoring Thermal Limits Preliminary Estimate of Gear Size Gear Specifications Size of Spur and Helical Gears by Q-Factor Method Indexes of Tooth Loading Estimating Spur- and Helical-Gear Size by K-Factor Estimating Bevel-Gear Size Estimating Worm-Gear Size Estimating Spiroid-Gear Size Data Needed for Gear Drawings Gear Dimensional Data Gear-Tooth Tolerances Gear Material and Heat Treat Data Enclosed Gear Unit Requirements Design Formulas Calculations of Gear-Tooth Data Number of Pinion Teeth Hunting Teeth Spur-Gear-Tooth Proportions Root Filler Radii of Curvature Long-Addendum Pinions Tooth Thickness Chordal Dimensions Degrees Roll and Limit Diameter Form Diameter and Contact Ratio Spur-Gear Dimension Sheet Internal-Gear Dimension Sheet Helical-Gear Tooth Proportions Helical-Gear Dimension Sheet Bevel-Gear Tooth Proportions Straight-Bevel-Gear Dimension Sheet Spiral-Bevel-Gear Dimension Sheet Zerol-Bevel-Gear Dimension Sheet Hypoid-Gear Calculations Face Gear Calculations Crossed-Helical-Gear Proportions Single-Enveloping-Worm-Gear Proportions Single-Enveloping Worm Gears Double-Enveloping Worm Gears Gear-Rating Practice General Considerations in Rating Calculations General Formulas for Tooth Bending Strength and Tooth Surface Durability Geometry Factors for Strength Overall Derating Factor for Strength Geometry Factors for Durability Overall Derating Factor for Surface Durability Load Rating of Worm Gearing Design Formulas for Scoring Trade Standards for Rating Gears Vehicle Gear-Rating Practice Marine Gear-Rating Practices Aerospace Gear-Rating Practices Gear Materials Steels for Gears Mechanical Properties Heat-Treating Techniques Heat-Treating Data Hardness Tests Localized Hardening of Gear Teeth Carburizing Nitriding Induction Hardening of Steel Flame Hardening of Steel Combined Heat Treatments Metallurgical Quality of Steel Gears Cast Irons for Gears Gray Cast Iron Ductile Iron Sintered Iron Nonferrous Gear Metals Kinds of Bronze Standard Gear Bronzes Nonmetallic Gears Thermosetting Laminates Nylon Gears Gear-Manufacturing Methods Gear-Tooth Cutting Gear Hobbing Shaping-Pinion Cutter Shaping-Rack Cutter Cutting Bevel Gears Gear Milling Broaching Gears Punching Gears G-TRAC Generating Gear Grinding Form Grinding Generating Grinding-Disc Wheel Generating Grinding-Bevel Gears Generating Grinding-Threaded Wheel Thread Grinding Gear Shaving, Rolling, and Honing Rotary Shaving Rack Shaving Gear Rolling Gear Honing Gear Measurement Gear Accuracy Measurements Machines to Measure Gears Gear Casting and Forming Cast and Molded Gears Sintered Gears Cold-Drawn Gears and Rolled Worm Threads Design of Tools to Make Gear Teeth Shaper Cutters Gear Hobs Spur-Gear Milling Cutters Worm Milling Cutters and Grinding Wheels Gear-Shaving Cutters Punching Tools Sintering Tools The Kinds and Causes of Gear Failures Analysis of Gear-System Problems Determining the Problem Possible Causes of Gear-System Failures Incompatibility of Gear Systems Investigation of Gear Systems Analysis of Tooth Failures and Gear Bearing Failures Nomenclature of Gear Failure Tooth Breakage Pitting of Gear Teeth Scoring Failures Wear Failures Gearbox Bearings Rolling-Element Bearings Sliding-Element Bearings Some Causes of Gear Failure Other than Excess Transmitted Load Overload Gear Failures Gear Casing Problems Lubrication Failures Thermal Problems in Fast-Running Gears Special Design Problems Center Distance Problems Profile Modification Problems Load Rating Problem Appendix Material Introduction to Gears Dynamic Load Theory Highest and Lowest Points of Single-Tooth Contact Layout of Large Circles by Calculation Special Calculations for Spur Gears Special Calculation for Internal Gears Special Calculation for Helical Gears Summary Sheets for Bevel Gears Complete AGMA and ISO Formulas for Bending Strength and Surface Durability Profile Modification Calculation Procedure The Basics of Gear-Tooth Measurement for Accuracy and Size Shaper-Cutter Tooth Thickness General Method for Determining Tooth Thicknesses when Helical Gears Are Operated on Spread Centers Calculation of Geometry Factor for Scoring References, Index 186 tables, 291 figures HUNDREDS OF ILLUSTRATIONS Almost 300 diagrams and other schematics, photographs and micrographs clearly illustrate gear designs, gearsets and assemblies, and applications. Here is a small sampling of these illustrations. Tractor power train Partially assembled double-reduction marine gear unit Two-stage epicyclic gear, close-coupled to a high-speed gas turbine Spur-gear and rack terminology Helical-gear and rack terminology Internal gear terminology Hypoid-gear arrangement Terminology of cone-drive worm gears Dimensions used in scoring-factor calculation Eight kinds of gear arrangements for spur or helical gears Standard drawing format for spiral bevel gears Calculation of bevel-gear body dimensions Worm-gear design examples Machine induction-hardening of large internal gear Metallurgical examples, nitrided gears (micrographs) Phenolic laminated gear with a steel hub ... Comparison of form grinding and generating grinding Operating principles of single-die gear-rolling machine Outline of methods for making gear teeth ALMOST 200 TABLES A wealth of data is economically provided in the many tables in this text. Here is a small sampling of this reference material. Gear Terms, Symbols and Units Scoring Calculation Methods Ratio Factors for Single-Reduction Gears Nominal Capacity of Double-Enveloping Worm Gearing Typical AGMA Gear Tolerances for Quality Numbers 9-13 Spur-Gear Proportions Tolerances on Tooth Thickness Spur-Gear Dimensions Helical-Gear Basic Tooth Data Indexes of Tooth Loading for Preliminary Design Calculations Straight-Bevel-Gear Dimensions Load-Stress Factors for Crossed-Helical Gears Nominal Lubricant Properties Composition of Typical Gear Steels Hardness-Testing Apparatus and Applications for Gears Some Examples of Production Time for Hobbing or Milling Gear Teeth Checklist (for) Investigating Gear Failures

Effect of Internal Gear Flexibility on the Quasi-Static Behavior of a Planetary Gear Set

Abstract: Effect of flexibility of an internal gear on the quasi-static behavior of a planetary gear set is investigated. A state-of-the-art finite elements/semi--analytical nonlinear contact mechanics formulation is employed to model a typical automotive automatic transmission planetary unit. The model considers each gear as deformable bodies and meshes them to predict loads, stresses and deformations of the gears. Actual support and spline conditions are included in the model. The rim thickness of the internal gear is varied relative to the tooth height and gear deflections and bending stresses are quantified as a function of rim thickness. Influence of rim thickness on the load sharing amongst the planets is also investigated with and without floating sun gear condition. The results are discussed in detail and guidelines regarding the design of a planetary internal gear are presented.