Design, Manufacturing and Operational Analysis of Elliptical Gears

Yazar, Mehmet

doi:10.1007/s12541-021-00549-3

Cited by 7 publications

(4 citation statements)

References 10 publications

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“…Liu et al have analyzed the dynamic characteristics of elliptical gears, and the general factors including torque, rotation speed and tooth root stress 6 . However, their gear ratio should not be too large, and the gear ratio can only circulate for one cycle when the driving gear rotates for one cycle 7 , limiting the scope of the application. At present, most scholars are committed to improving their transmission performance.…”

Section: List Of Symbols Amentioning

confidence: 99%

Design of piecewise deformed elliptical gear with closed pitch curve and its conjugate pair

Liu

et al. 2022

Sci Rep

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The family of elliptical gears with closed pitch curves includes elliptical gears and deformed elliptical gears. Elliptical gears are not only the most widely used non-circular gears but also the research hotspot in the field of non-uniform transmission. However, adjusting the shape of its pitch curve is difficult, which seriously restricts its popularization. This article proposes a piecewise deformed elliptical gear with a closed pitch curve, which realizes the unity of all kinds of elliptical gears in the mathematical model, makes the shape of the pitch curve and gear ratio easier to adjust, and expands the connotation and application scope of the family of elliptical gears. Moreover, the design approach of transmission with piecewise deformed elliptical gear was studied, and the inspection method of transmission performance was provided. The internal relationship between piecewise deformed elliptical gears and the family of elliptical gears was then analyzed. Finally, the method of computer-aided design (CAD) system developed was also provided. Additionally, a case was provided to verify the above theories. The designed conjugate pair can realize a correct meshing and adjust the gear ratio more flexibly, laying a theoretical foundation to expand the application field of non-uniform transmission.

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Section: List Of Symbols Amentioning

confidence: 99%

Design of piecewise deformed elliptical gear with closed pitch curve and its conjugate pair

Liu

et al. 2022

Sci Rep

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“…Bölüm elipsini sonlu mikro dilimlere bölünerek dinamik bir model oluşturulan çalışmada, modelleme doğruluğunu artırmak için zamana bağlı sonlu elemanlar yöntemini esas almışlardır [56]. Sonlu elemanlarla analiz yöntemine dayalı olarak, bir eliptik dişli tahrikli dört çubuk mekanizmasının kinematik analizinin çalışıldığı, Solidworks paket programının Cosmosworks modülüyle diş gerilme dağılımlarının incelendiği ve ANSYS paket programı ile eliptik dişlilerin modal analizlerinin yapıldığı tespit edilmiştir [46].…”

Section: Bilgisayar Destekli Mühendislik Ile Analizunclassified

“…AutoLISP ortamında paket program yazılmış, paket programla 5 farklı modül ve diş sayısına sahip eliptik dişli çifti oluşturulmuş ve CNC tel EDM yöntemi ile imal edilmiştir. Dişlilerin ANSYS paket programında doğal frekansları bulunmuş, eksen kaçıklıkları bir deney düzeneği ile belirlenmiş ve eksen kaçıklıklarının doğrusal olduğu, sapmanın 5,6 m olarak saptanmış ve modüldeki artışa bağlı olarak hesaplanabildiği ortaya koyulmuştur[46]. WEDM yönteminin; eliptik dişlilerin imalatı performans bakımından diğer yöntemlere göre daha Tablo 3.…”

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Eliptik Dişli Tasarımı, İmalatı, Analizi ve Eliptik Dişlilerin Endüstriyel Uygulamaları

PAZARKAYA

Yazar

ÖZDEMİR

2022

Gazi Üniversitesi Fen Bilimleri Dergisi Part C: Tasarım Ve Teknoloji

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The studies covered elliptical gears focus on the design of tooth profiles and the researches increase about prototype manufacturing of elliptical gears. Elliptical gear tooth profile, which is developed based on the fact that the tooth profiles of elliptical gears are not identical to cylindrical gears; It is obtained by shaping tooth flanks with involute curves in accordance with the rolling method on the section ellipse with a rack or cylindrical spur gear cutter. It has been determined that the use of CNC electrical discharge machining (EDM) in the manufacture of elliptical gears has preferably become, also, the manufacturability of elliptical gears in standard modules by developing electronic gearboxes for hobbing machines. Elliptical gear pairs are used into different machines, mechanism and equipments, especially flow meters, and pumps with elliptical gear pairs are seen to be widespread. In today's world, where energy efficiency is of utmost importance, accurate and precise measurement of high fluid amounts and eliminating the losses in the fluid transfer of enterprises are also required. In this review study, the design of elliptical gears, traditional and non-traditional manufacturing methods, strength and vibration analyzes, and various industrial applications in the literature were evoluated and the common result of the literatüre works were obtained. It is predicted that elliptical gears will be an indispensable part of many smart products that contain mechanical parts in the near future.

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“…Elliptical gear is the most commonly used gear and has been extensively and theoretically studied. Subsequently, denatured elliptical gear and high-order elliptical gear are proposed by adjusting the number of cycles of the pitch curves [15][16][17] . Additionally, non-circular gears with typical-form pitch curve have also been vigorously explored and investigated in the design and transmission characteristics, including eccentric non-circular gears, Fourier non-circular gears, and Pascal curve gears, to further enrich the gear transmission form [18][19][20] .…”

Section: Introductionmentioning

confidence: 99%

Advanced Design Strategies and Applications for Enhanced Higher-Order Multisegment Denatured Pascal Curve Gears

Zhao,

Xu,

2024

Preprint

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The existing Pascal curve gears suffer from limited flexibility in pitch curves and restricted changes in transmission ratios. This has impeded the application in a range of mechanical systems that require more adaptable gear solutions. For this, a design procedure for higher-order multisegment denatured Pascal curve gear is proposed. This innovative design offers greater flexibility in pitch curves and allows for a broader range of transmission ratios. The transmission mechanism of the higher-order multisegment denatured Pascal curve gear is analyzed and the unified mathematical expression of the families of Pascal curve gear is derived. Based on the proposed higher-order multisegment denatured Pascal curve gear, the non-circular gears with free-form pitch curve can be constructed by changing the parameters to achieve the unification of two types of pitch curves. Then the transmission characteristics are discussed. To further validate the design, the visual analysis and design software of the higher-order multisegment denatured Pascal curve gear is compiled based on Visual Basic, and is verified with the example. The novelty Pascal curve gears is applied to drive the differential velocity vane pump. The displacement, instantaneous flow rate, and pulsation rate of the differential velocity vane pump are calculated. The novelty drive mechanism could meet the requirements and have good performance. The application shows that the higher-order multisegment denatured Pascal curve gear is feasible in practice.

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Design, Manufacturing and Operational Analysis of Elliptical Gears

Cited by 7 publications

References 10 publications

Design of piecewise deformed elliptical gear with closed pitch curve and its conjugate pair

Design of piecewise deformed elliptical gear with closed pitch curve and its conjugate pair

Eliptik Dişli Tasarımı, İmalatı, Analizi ve Eliptik Dişlilerin Endüstriyel Uygulamaları

Advanced Design Strategies and Applications for Enhanced Higher-Order Multisegment Denatured Pascal Curve Gears

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