Experimental kinematic analysis of an intermittent motion planetary mechanism with elliptical gears

Abstract

Intermittent motion mechanisms are widely used in semiautomatic and automatic machinery. Currently, the most common are mechanisms with a one-way coupling or mechanisms of variable structure. The intermittent movement in these mechanisms is provided by breaking the kinematic chain, so their use is undesirable in high-speed machines. The paper presents and analyzes kinematics of planetary transmission with elliptical gears, which performs intermittent motion of output link without interruption of kinematic chain. A kinematic model of the mechanism is constructed, and there are obtained equations for determining the velocity analogue of the output link of the planetary gear. An experimental verification of the adequacy of the developed mathematical model was carried out on the example of studying the position function of the mechanism. The measurement errors were estimated using statistical methods. Using the chi-squared test, the hypothesis of a normal distribution of measurement errors was verified, and confidence interval was determined.

Motion, Static Force, and Efficiency Analysis of Planetary Gear Transmission Based on Graph Theory

“…The graph theory modeling method abstracts the research problem into a graph composed of a set of points and a set of lines connecting each point and comprehensively applies mathematical theory to solve the problem. Based on graph theory, dots are used to represent various components of the planetary gear mechanism (including control elements), and lines are used to represent connection relationships between the components [28][29][30][31][32][33][34][35][36][37]. Figure 2a is a three-speed planetary gear transmission, and the overall performance analysis model is shown in Figure 2b.…”

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

“…Eliptik dişliler, değişken çevrim oranı istenen şanzımanlarda da tercih edilmektedir. Bu dişlilerin iletim oranlarının rijitliğinden dolayı değişik tipte diş profilli eliptik dişliler tasarlanmış ve kinematik analizleri yapılmıştır [21,22]. Çevrim oranları sırası ile 0,5; 1 ve 2 olan sürekli değişken çevrim oranlı bir şanzıman geliştirildiği, bu şanzıman için bir çift özdeş eliptik dişli ve uygun bölüm elipsi tasarım prosedürü önerilmiştir.…”

Force analysis of the two-satellite planetary mechanism with elliptical gears

“…Non-circular gears can have various shapes, but elliptical gears are the most researched and widespread at the moment [15][16][17]. A large number of mechanisms and devices based on elliptical gears have been developed, their geometry and kinematics have been investigated [18][19][20], and various problems of their manufacture have been solved [21][22][23].…”