• Journal of the Korean Society for Precision Engineering
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• v.13 no.12
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• pp.78-85
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• 1996

The determination of the optimum biarc curve passing through a given set of points along involute curve is studied. The method adopted is that of finding the optimum no. of span and the optimum length of the span such that the error between the biarc curve and involute curve is minimum. Irregular curve span method is effectively used to describe the involute curve with reduced length of NC-Code.

• Journal of the Korean Society of Manufacturing Process Engineers
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• v.9 no.5
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• pp.40-49
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• 2010

Conical involute gears are being used for marine gearboxes, automotive transmissions, and robots, and so on, but not much. As involute profile gear, conical involute gear not only can be engaged with spur and helical gear but also can be used for power transmission of parallel, crossed and skewed axis with small angle. Hence, conical involute gears are likely to develop in future. Through a study on the basic theory of conical involute gear, tooth surface compressive stress analysis was performed by using commercial modeling program, comparing before and after profile modification. As a result, it noticed that tooth profile modification is able to relieve more tooth surface compressive stress than before modification.

• Journal of the Korean Society for Precision Engineering
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• v.16 no.4 s.97
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• pp.71-78
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• 1999

The determination of the optimum biarc curve passing through a given set of points along involute curve is studied. The method adopted is that of finding the optimum number of span and the optimum length of the span such that error between the biarc curve and involute curve minimum. Iterative method is effectively used to find the optimim number and length of the span on involute curve with reduced length of NC-code.

• Proceedings of the Korean Society For Composite Materials Conference
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• 1999.11a
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• pp.57-62
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• 1999

In order to fabricate a involute construction structure, the pattern design for prepreg stacking was developed. For obtaining the demanded strength in the circumferencial and axial direction of the involute construction and tile proper processablity of prepreg stacking, the shaped pattern method was established which has a calculated length suitable for stacking. We can obtain the involute construction with clean interface between laminated plies and suitable dimension by using pattern design method developed in this study. Test specimens with varied arc angle were designed to test the structural properties of involute construction. Tensile and compressive strength decreased with the increase of arc angle. Tensile modulus and compressive failure strain were calculated under the conditon of transformation of material properties successfully.

• Proceedings of the Korean Society of Propulsion Engineers Conference
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• 1999.10a
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• pp.22-22
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• 1999

로켓의 노즐의 확대부와 같은 내열특성 증진이 필요한 곳에 주로 적용되어온 Involute 구조는 얇은 두께의 fabric 프리 프레그룰 일정한 패턴에 맞추어 재단한 후 적층하여 제작되어진다. 이렇게 제작된 노즐 확대부와 같은 구조물은 내삭마 및 구조 특성이 향상되고, 적층 및 성형 중 발생하는 링클과 보이드도 많이 예방할 수 있는 장점을 가진 것으로 알려져 있다. 이와 같은 장점 때문에 60년대부터 제작되어 노즐 확대부에 적용되어온 Involute 구조는 기하학적 복잡성으로 인해서 본질적으로 구조물의 비등방성 및 비균질성을 수반하게 되며, 이에 따른 열 및 구조해석의 어려움이 존재하게 된다. 70년대 Pagano에 의해서 그 기하학적복잡성이 수학적으로 규명되기 시작하여 80년대 가장 활발한 구조해석이 수행되어 노즐의 설계에 적용되었으며, 90년대 들어와서는 비선형 해석 및 최적설계 기법을 도입한 Involute 구조물의 기하학적 형상 및 구조적 최적화가 진행되고 있다. 하지만 국내에서는 아직까지 Involute 구조의 구조해석이 생소한 분야로서, 앞에서 언급한 일련의 진행 과정과 특징 등을 요약 및 정리할 필요가 있다 따라서, 본 발표는 비등방성 및 비균질성의 Involute 구조물에 대한 구조해석 기법들을 파악하고 그 적용 방법을 생각해 보고자 한다.

• Transactions of the Korean Society of Mechanical Engineers
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• v.9 no.5
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• pp.572-578
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• 1985

A composite gear with involute-circular are tooth profile and a tooth profile of the rack to cut this gear are theoretictically obtained. The composite gear has involute tooth profile in the vicinity of pitch point and has circular arc tooth profiles at addendum adn dedendum. The contact ratio(M$_{c}$), chordal tooth thickness (chordal tip tooth thickness S$_{t}$, chordal root tooth thickness S$_{t}$) of the composite gear are compared with those of involute gear. When module, number of teeth and pressure angle eqaul, S$_{t}$ of composite gear is much larger than that of involute gear. Under the same conditions, S/sib t/ and M$_{c}$ of composite gear become smaller than those of involute gear.lute gear.

• Journal of the Korean Society for Precision Engineering
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• v.17 no.2
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• pp.105-113
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• 2000

For exact spherical involute bevel gear, serveral researchers had developed the mathematical models. The solid models of straight bevel gears are obtained and inspected to avoid interference by computer graphics. Furthermore, A gearbox is assembled by spherical involute bevel gears, which are manufactured by CNC machine. The transmission errors in the tooth mesh are measured by Laser sensor, are compared with the AGMA standard. This gearbox is found to be ranked AGMA Q10(JIS 3)

• Honam Mathematical Journal
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• v.40 no.2
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• pp.251-264
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• 2018

In the present study, we consider the curves in Galilean 4-space ${\mathbb{G}}_4$. We find out the involute curves of order k (k = 1, 2, 3) of a given curve. We get the relationships between the Frenet apparatus of a given curve and its involute curves of order k.

• Journal of the Korean Society of Manufacturing Process Engineers
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• v.13 no.1
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• pp.45-51
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• 2014

Generally, marine transmissions contain straight shafts and helical gears, meaning that enginerooms require more space. In order to guarantee a levelengine space for conical involute gears or beveloid gears, both of which are important machine parts, a conical gear was used to replace the traditional cylinder gear. Owing to weak points such as the point contact phenomenon of the teeth, a limitation of the width of each tooth in terms of the addendum, the variational modification coefficient,and the difficulty of processing, research about conical involute gears remains at a standstill. Along with the increasing number of applications of conical involute gears, research on conical gear design technology is necessary. In this paper, in an effort to enhance conical gear design technology, research on the 3D modeling and stress analyses of helical conical involute gears were done.

• Proceedings of the KSME Conference
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• 2001.11a
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• pp.834-840
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• 2001

Gear is general mechanical elements that used for power transmission between two shafts that interval is comparatively short. and it delivers big power as accurate ratio of speed. The profile of Spur gear which is the most basic factor is divided into Trochoidal fillet curve and Involute curve. Involute curve is used a lot of a shaped curve of machine parts such as a gear, a scroll compressor and a collar of centrifugal pump. However, It is poor to study the modeling of Trochoidal fillet curve and the three dimensions model shaped mathematical curve. This paper describes a mathematical model of profile shifted involute gear. and this model is based on Camus's theory. We draw three dimensions gear have accurate mathematical function using ADS, VisualLISP. and To check accuracy and perfection, we make a program of checking Interference. and use for this study.