Effects Of Addendum Modification Research Articles

Numerical calculation and experimental measurement for gear mesh force of planetary gear transmissions

In this paper, we propose a numerical method to calculate the dynamic mesh forces of planetary gear transmissions (PGTs). In this model, the effects of addendum modification are included in the time-varying mesh stiffness (TVMS) and then the influence of TVMS and relative mesh phase on the dynamic mesh forces are considered in the proposed model. To verify the proposed model, an experimental method is proposed to measure the dynamic ring-planet mesh forces by using gear tooth root-fillet strain signals. Static mesh experiments and dynamic mesh experiments are carried out to obtain the strain signals. To measure the dynamic mesh force, the loaded tooth contact analysis (LTCA) method and quasi-static experiments are carried to determine the coefficient matrix which is used to descript the relationship between the mesh force and tooth root-fillet strain. Finally, calculated mesh forces and measured forces are compared and discussed. Results indicate that the proposed experimental method can effectively measure the dynamic ring-planet mesh forces, and the numerical mesh forces agree well with the measured mesh forces.

Influence of S0 Type of Addendum Modification on Sliding Performance of Spur Gears

The effect of S0 type of addendum modification on sliding velocity of the involute spur gear has been studied. For the analysis four critical points such as Beginning of Engagement, Low Point of Single Tooth Contact, High Point of Single Tooth Contact and Disengagement point corresponding to pinion are considered. Length of approach and length of recess for modified gears are evaluated. Effects of addendum modification on contact fatigue life and wear prediction are discussed. Product of contact stress and sliding velocity ( σh * Vs) at critical points for varied addendum modification factor X are evaluated, and its effect on sliding velocity has been analysed. Effect of change in value (σh * Vs) at critical points of contact for modified gear pair on Hertzian fatigue is discussed.

Investigation of influence of load and velocity on scoring of addendum modified gear tooth profiles

In general gears are used for power transmission in machines. Scoring is one of the factors that causes gears unusable. Since there are too many factors affecting scoring which have not satisfactorily been explained, researches on this subject are continuing. With the exception of addendum modification, many factors affecting scoring phenomena have been analyzed in detail. Experimental works was performed in a FZG gear test apparatus for this purpose. In the experiments, scoring was investigated by using different speed and load levels with gear pairs having different addendum modifications. Amount of wearing and physical situation of profile surface were determined and evaluated for each speed and load level. The effect of addendum modification and speed of revolution on scoring, were given in the conclusion according to the test results.

Root Stress Analysis of Internal Spur Gears by Theory of Elasticity

This paper presents a study on the root stress analysis of internal spur gears by 2-dimensional elasticity theory and mapping function. A calculating method of tooth profile of internal spur gear generated with a pinion cutter was indicated and a mapping function for the profile approximated to the tooth profile of an internal spur gear was obtained. The root stress of internal spur gears calculated by 2-dimensional finite element method (FEM) and measured ones, and the validity of root stress analysis of internal spur gears by the theory of elasticity was confirmed. Furthermore the effects of addendum modification and loading position on clarified to a considerable extent.

Effects of Addendum Modification on Bending Fatigue Strength of Helical Gears

This paper presents a study on the effects of addendum modification on root stresses and bending fatigue strength of helical gears. Theoretical analysis was made regarding the effect of addendum modification on the root stresses. Bending fatigue tests were performed on helical gears with various amounts of addendum modification, using a bending fatigue testing machine of hydraulic type. In the case of helical gears, the increase in bending strength due to positive addendum modification is much smaller than that in the case of spur gears and the effect of addendum modification on bending strength differs depending on the addendum modification coefficient of mating gear. Furthermore the validity of ISO and JSME formulas for bending strength of profile shifted gears was examined on the basis of the experimental results.

Study on Bending Fatigue Strength of Helical Gears : 4th Report, Effects of Addendum Modification on Bending Fatigue Strength

Study on Bending Fatigue Strength of Helical Gears : 4th Report, Effects of Addendum Modification on Bending Fatigue Strength

Effects of Addendum Modification on Bending Fatigue Strength of Spur Gears with Higher Pressure Angle

This paper presents a study on the bending fatigue strength and the effects of addendum modification on bending fatigue strength of spur gears with a higher pressure angle made of normalized steel, cast iron and cast steel. The analysis is made regarding the effects of addendum modification on the true stresses at the root fillet in connection with the worst loading point and also on the bending fatigue strength of gear teeth. Bending fatigue strength of normalized steel, cast iron and cast steel gears can be improved by adopting a higher pressure angle and selecting a proper amount of addendum modification. Addendum modification factor Bx for bending strength is derived from the analytical and experimental results, and the bending fatigue strength of profile shifted gears can be estimated with fairly high accuracy, by introducing this factor into the strength design of gears.

Effects of Addendum Modification on Bending Fatigue Strength of Spur Gears of Higher Pressure Angle

Effects of Addendum Modification on Bending Fatigue Strength of Spur Gears of Higher Pressure Angle

Bending Fatigue Tests of High Speed Spur Gears

Effects of addendum modification of tooth profiles on the bending fatigue strength of high speed spur gear are discussed in this presentation: A JIS Class O Spur gear of m3, α20 deg, Z1 27, and made of AMS 6260 (AISI 9310) steel precisely ground after carburizing and hardening was meshed with the other gear of Z2 77 and operated at 8550 rpm. In this running test, bending load capacity and running performance comparisons between the gear with standard tooth profile and the two shifted gears of which tooth addendum modification coefficients were 0.35 and 0.8. The maximum normal load of the gear with addendum modification coefficient 0.8 at 107 (10 million) cycles was 1.8 kNsmm per unit tooth width. The maximum Hertz stress of this gear was 2.43 × 109 Nsm2. The allowable normal load of the gear with 0.8 was higher than that of the standard gear by 87 percent and higher than of the 0.35 profile shifted gears by 20 percent.

Effects of Addendum Modification on Bending Fatigue Strength of Spur Gears : 3rd Report, Cast Iron and Cast Steel Gears

This paper presents a study on the effects of addendum modification on bending fatigue strength of spur gears of cast iron and cast steel. Analysis is made regarding the effects of addendum modification on the true stresses at the fillet in connection with the worst loading point and also on the bending fatigue strength of gear teeth. Bending fatigue strength of cast iron and cast steel gears can be improved by selecting the proper amount of addendum modification. Addendum modification factor Bχ for bending strength is derived from the analytical and experimental results, and the bending fatigue strength of profile shifted gears can be estimated with fairly high accuracy by introducing this factor into the strength design of gears. Furthermore the effects of addendum modification on both the contact ratio and the contact ratio factor are also discussed.

Effects of Addendum Modification on Bending Fatigue Strength of Spur Gears : 3rd Report, Cast Iron and Cast Steel Gears

本論文は,鋳鉄・鋳鋼歯車の曲げ疲労強度におよぼす転位の影響について検討を加えたものである.適正な正転位を行うことによって曲げ強度をかなり増大させることができること,また曲げの転位影響係数Bxを導き,転位歯車の曲げ強度はこの係数を導入することによって,同一諸元の標準歯車の曲げ強度に基づいてかなり正確に推定できることなどを明らかにしている.さらにかみあい率係数に及ぼす転位の影響についても検討を加えている.

Effects of Addendum Modification on Bending Fatigue Strength of Spur Gears : 2nd Report, Casehardened Gears

Load carrying capacity of gears for tooth breakage often poses a critical problem especially in casehardened gears. The present paper describes a study into the effect of addendum modification on bending fatigue strength of casehardened spur gears. Analysis is made regarding the effects of addendum modification on the true stresses at the root fillet in connection with the worst loading point and also on the bending fatigue strength of gear tooth. Bending fatigue strength of casehardened gears can be improved considerably by selecting the proper amount of addendum modification. Addendum modification factor Bx for bending strength is derived from the analytical and experimental results and the bending fatigue strength of profile shifted gears can be estimated with fairly high accuracy, by introducing this factor into the strength design of gears.

Effects of Addendum Modification on Bending Fatigue Strength of Spur Gears : 1st Report, Normalized Steel Gears

This paper presents a study into the effect of addendum modification on bending fatigue strength of spur gears made of normalized steel. Theoretical analysis is made regarding the effect of addendum modification on the true stresses at the root fillet of gear tooth in the case of tip loading. Bending fatigue tests are performed on gears with various amounts of addendum modification, using a pulsator of hydraulic type. The value of root stress factor for calculating true stresses at root fillet increases with an increasing value of addendum modification coefficient and the bending fatigue strength of normalized steel gears can be improved significantly by selecting the proper amount of addendum modification. Furthermore, addendum modification factor Bx for bending strength is derived on the basis of the analytical and experimental results.

Effect of Addendum Modification on Bending Fatigue Strength of Spur Gears : 1st Report, Normalized Steel Gears

Effect of Addendum Modification on Bending Fatigue Strength of Spur Gears : 1st Report, Normalized Steel Gears

Effect of Addendum Modification on Bending Fatigue Strength of Spur Gears : 2nd Report, Casehardened Gears

Effect of Addendum Modification on Bending Fatigue Strength of Spur Gears : 2nd Report, Casehardened Gears