Influence of Centrodes Coefficient on the Characteristic of Gear Ratio Function of the Compound Non-circular Gear Train with Improved Cycloid Tooth Profile

Thai, Nguyen Hong; Thom, Phung Van; Trung, Nguyen Thanh

doi:10.1007/978-3-030-91892-7_19

Cited by 7 publications

(5 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since NCG 2 and NCG 3 are fixed on the same axis 2, from (7) we have a relationship between the angular velocity of axes 2 and 3 relative to axis 1:…”

Section: Gear Ratio Function Of Compound Non-circular Gear Trainmentioning

confidence: 99%

“…It can be seen that, for the problems of synthesizing NCG transmitters according to the desired transfer function object from practical requirements, most studies on centrodes or complex NCG trains lead to difficulties in synthesizing tooth profiles or the arrangement of pairs of NCG gears. The ISSN 2734-9381 https://doi.org/10.51316/jst.165.etsd.2023.33.2.8 Received: September 30, 2022; accepted: December 30, 2022 study of Thai et al [7] has evaluated the influence of centrode design parameters on gear ratio function characteristics. However, there has been no research mentioning that changing the fixed angle of NCGs on the intermediate shaft, while this angle can change the gear ratio function.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Influence of the Fixed Angle of the Non-Circular Gears on the Intermediate Shaft on the Gear Ratio Function Characteristics

2023

JST: ETSD

View full text Add to dashboard Cite

The paper shows the influence of the fixed angle of non-circular gears (NCGs) on the gear ratio function characteristics of the compound non-circular gear (CNCG) train. The research established a mathematical model describing the centrodes of a typical CNCG train. The fixed angle β of non-circular gears on the intermediate shaft is changed to evaluate its effect on the gear ratio of the CNCG train. The results show that changing the fixed angle of non-circular gears on the intermediate shaft changes the transfer function law of the system and can increase the speed variation range on the output shaft. With the parameters of the designed CNCG train, changing the angle β can increase the amplitude of the gear ratio function to 30.19%. A CNCG train with a speed variation range from 1.37 to 5.11 has been experimentally designed and manufactured with an improved cycloid profile considering the tooth number distribution and satisfying the condition of avoiding undercutting. On that basis, an experimental system to determine the gear ratio of the CNCG train based on the meshing between the gear pairs in the CNCG train has been designed and manufactured. The experimental results showed that the maximum error of the gear ratio function is about 7.63% compared with theoretical ones. In this study, we have not considered the influence of force and torque on the experimental gear ratio. We can apply the results of this research to transmission systems to obtain a speed variation.

show abstract

“…Since NCG 2 and NCG 3 are fixed on the same axis 2, from (7) we have a relationship between the angular velocity of axes 2 and 3 relative to axis 1:…”

Section: Gear Ratio Function Of Compound Non-circular Gear Trainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Influence of the Fixed Angle of the Non-Circular Gears on the Intermediate Shaft on the Gear Ratio Function Characteristics

2023

JST: ETSD

View full text Add to dashboard Cite

show abstract

“…Even in position (II) (see Figure 11a), where the curvature radius of the centrode ρII = 48.03 mm has a smaller value than the curvature radius in position (I) with ρI = 155.52 mm, the teeth in both positions have identical shape and equal parameters. Same as standard cylindrical gears with the constant gear ratio, so this is an advantage of the novel profile; (2) The line of meshing of the NCGs pair is a smooth closed curve (see Figure 11b), which is entirely different from the straight line when the tooth profile of the NCGs pair is involute of a circle or arcs [7,10,12,22].…”

Section: Case Studiesmentioning

confidence: 99%

“…Among those four trends, NCGs tooth profile design has drawn the most interest. The majority of the research focused on using circle involute [10,12,22]; or circular arc [13,23] to generate the NCGs tooth profile. A setback in these works is the difference in shape and dimension of the teeth located around NCGs since these are gears with asymmetrical tooth profiles.…”

Section: Introductionmentioning

confidence: 99%

A Novel Curve for the Generation of the Non-circular Gear Tooth Profile

2022

IJE

View full text Add to dashboard Cite

This paper presents a novel curve generated by a point attached to an ellipse as it rolls without slipping along a datum line of rack cutter. A mathematical model of the non-circular gear profile has been developed based on the theory of gearing. The effect of an axial ratio  (the ratio of the lengths of the major and minor axes of the ellipse) and the position of the point KR, at which the novel curve starts to generate on the tooth shape and the undercut of the non-circular gear pair is also taken into consideration. A numerical program developed from the mathematical model has been proposed for the calculation and design of the non-circular gears (NCGs). Case studies are presented to show the steps of tooth shape design and to examine the geometrical profile of the NCGs in relation to design parameters of the rack cutter etc. From that, the axial ration  and position of the point KR on the generating ellipse ƩE can be selected for each specific case in order to design the appropriate profiles of the NCGs. On that basis, an experiment to determine the gear ratio of the NCGs pair based on the meshing between gears has manufactured.

show abstract

“…Recently, to increase the load capacity of the NCG drives by increasing the dimension of the teeth, Thai et al [22,23] proposed a new curve referred to as an improved cycloid to the tooth profile of NCG. Unlike other profiles, the improved cycloid profile allows the design with a larger modulus, overcoming the phenomenon of the tooth pointed at the small radius position of the centrode and increasing the gear drive's load capacity [24].…”

Section: Introductionmentioning

confidence: 99%

Replacing the involute profile with an improved cycloid profile to improve the bearing capacity for the elliptical gear drives

Thai,

Thom

2024

Vietnam J. Sci. Technol.

Self Cite

View full text Add to dashboard Cite

The involute curve is the most widely used in the design of tooth profiles for non-circular gears (NCGs) because of its mathematical simplicity and convenience for design and manufacture. Still, the condition to avoid undercutting often results in a large number of teeth and a small tooth size that reduces the load capacity of the gear drives. On the other hand, in elliptical gears (EGs), a particular case of NCGs, the unequal radii of the centrodes lead to unequal geometric shapes of the teeth arranged on the gear. To overcome the above phenomena and improve the load capacity of the gear drives in this study, the authors applied the improved cycloid profile as the tooth profile of the centered elliptical gear. The paper analyzes and evaluates to verify the disadvantages of tooth geometry of EG drives with the involute profile. On that basis, an improved cycloid curve is applied to improve the irregularity and increase the teeth size distributed on the gear. Two prototype gear drives with the same centrodes with ellipse involute and improved cycloid profiles were manufactured and experimental. The results showed that the EG drives with the improved cycloid profile allowed the design with fewer teeth than the involute profile to make the tooth size larger. Also, the experimental results showed that the practical versus theoretical gear ratio error value of the EG drives with improved cycloid profile and involute profile is 3.37% and 6.67%, respectively. It verified that the EG drives with the improved cycloid profile meshing process more smoothly than those with the involute profile. The research results are significant for applying and developing the improved cycloid profile in designing and manufacturing EG drives requiring high torque and precision.

show abstract

Influence of Centrodes Coefficient on the Characteristic of Gear Ratio Function of the Compound Non-circular Gear Train with Improved Cycloid Tooth Profile

Cited by 7 publications

References 16 publications

Influence of the Fixed Angle of the Non-Circular Gears on the Intermediate Shaft on the Gear Ratio Function Characteristics

Influence of the Fixed Angle of the Non-Circular Gears on the Intermediate Shaft on the Gear Ratio Function Characteristics

A Novel Curve for the Generation of the Non-circular Gear Tooth Profile

Replacing the involute profile with an improved cycloid profile to improve the bearing capacity for the elliptical gear drives

Contact Info

Product

Resources

About