Simple gear train compound gear train reverted gear train epicyclic gear train in the first three types of gear trains, the axes of the shafts over which the gears are mounted are fixed relative to each other. However, such an ad hoc approach cannot ensure the identification of all possible design alternatives, nor does it necessarily lead to optimum design. Jntucek faculty kuchibhotla mallikarjuna rao adjunct. Reviewing the literature indicates that gear trains in ats are mainly divided into. We present here a simple, methodical procedure for determining the final gear ratio of an epicyclic gear train. A computational synthesis approach of mechanical conceptual. The development of an efficient solution procedure for the enumeration of epicyclic gear trains based on the standard code technique for colored graph. A carrier connects the centers of the two gears and rotates to carry one gear, called the planet gear, around the other, called the sun gear. In this lesson, we will study about epicyclic gear trains, planetary gear trains, easy method to solve numerals on epicyclic gear train and holding torque of gears. Describe epicyclic gear boxes solve gear box ratios. Calculate the input and outputs speeds and torques of gear boxes. In the synthesis process, one of the most important problems is to detect and eliminate degenerate pgts. Hand book of gear design 2nd edition tata mcgrawhill book company ltd.
The gear at the centre is called the sun gear and the gears whose axes move are called planet gears. An epicyclic gear train consists of two gears mounted so that the centre of one gear revolves around the centre of the other. There would be numerous applications of planetary gearbox, but i will anser with the one which im sure about. Topological synthesis of epicyclic gear trains using vertex. Equation and calculators to determine ratios of planetary or epicyclic gear assemblies. The incidence matrix relates the vertices and edges. Compound gears are simply a chain of simple gear trains with the input of the second being the output of the first. This method is extremely procedural, which is appropriate since use of intuition is often quite futile when applied to complex gear trains. An algorithm for identifying the isomorphism of planar. The circulation of the spur gear takes place in analogy to the orbiting of the planets in the solar system. Mallikarjuna rao kuchibhotlas research works university. Planetary gear trains pgts are widely used in machinery to transmit angular velocity ratios or torque ratios. A book of reference for engineers concerned with the.
Article should be called planetary gears, not epicyclic gears. Epicyclic planetary gear system 3d cad model library. The planet and sun gears mesh so that their pitch circles roll without slip. Design, load analysis and optimization of compound. The graph theory has been proved to be an effective tool to synthesize and analyze pgts. New graph representation for planetary gear trains journal of. Each epicyclic gear train is represented as a graph by denoting gear pair with thick line and transfer pair with thin line. Epicyclic gearing systems also incorporate the use of an outer ring gear or annulus, which meshes with the planet gears. Topological synthesis of epicyclic gear trains using. Simple solution for an epicyclic gear train problem.
New graph representation for planetary gear trains. Engineering and manufacturing mathematics algorithms analysis models. The design synthesis is the key issue in the mechanical conceptual. Sundhararajan, coherence analysis of pressure pulse and photoplethysmogram at various sites, published in international journal of applied. We use the method introduced in epicyclic ratio calculation for determining the final gear ratio of an epicyclic gear train. A carrier connects the centres of the two gears and rotates to carry one gear, called the planet gear or planet pinion, around the other, called the sun gear or sun wheel. Epicyclic gear trains belong to a special class of geared kinematic chains. In this paper, a novel and simple method is proposed using a parameter, vertex incidence polynomial vip, to synthesize epicyclic gear trains. Complete efficiency analysis of epicyclic gear train with. Automatic detection of degenerate planetary gear trains. Planetary gear trains pgt are widely used in transmissions of vehicles, pulley blocks, wrist watches, machine tool, robots, etc. In this paper, a random number technique for computing the value of a linkage characteristic polynomial is shown to be an effective method for identifying isomorphic graphs. The technique has been applied to the topological synthesis of onedegreeoffreedon, epicyclic gear trains with up to six links.
A network theory for variable epicyclic gear trains. Efficient computational techniques for planetary gear train analysis. Various methods have been suggested by different authors for the detection of isomorphism in planer kinematic chains and epicyclic gear trains egts, but everyone has found some difficulties to address new issues. Unified methods of analysis and synthesis of complex drives are employed throughout, suggesting that further simplifications may be possible through the use of a multivalued logic system which is analogous to the bivalent logic system of digital electronics. Kinematic and dynamic simulation of epicyclic gear trains. Enumeration of displacement graphs of epicyclic gear train from a given rotation graph using concept of building of kinematic units. The following two methods may be used for finding out velocity ratio of an epicyclic gear train. A twostage planetary gear stage is defined using the program. Epicyclic gear trains egts are important mechanical transmissions with many applications. What is the best way to tackle this problem and get the right movement out of inventor. We show that the nested and the ravigneaux gear train derive from a unified model, which permits to obtain the formulation of ratio and efficiency. An algorithm for identifying the isomorphism of planar multiple joint and gear train kinematic chains.
Enumeration of kinematic structures according to function introduces a methodology for systematic creation and classification of. This article should be called planetary gearing because planetary gear trains are just a specific instance of epicyclic gear trains and there are many other configurations of epicyclic gear trains, for example a differential gear train. Enumeration of displacement graphs of epicyclic gear train. In this paper, a novel and simple method is proposed using a parameter, vertex incidence polynomial vip, to synthesize epicyclic gear trains up to six links eliminating all isomorphic gear trains. Planetary gear trains pgts are widely used in machinery to. An application of modified path matrix approach for. Standard code technique in the enumeration of epicyclic. A network theory for variable epicyclic gear trains technische. Design and analysis of an epicyclic gear train using corrected gears.
A network theory for variable epicyclic gear trains citation for published version apa. An innovative approach for detection of isomorphism of. All 34 types can be derived from one general form of the simple planetary gear train. It is stated that the simple planetary gear train consisting of two central gears, one or more planet gears and one arm, has 34 different types. Mullers discovery of their perfect analogy to the simple epicyclic drive trains. An application of the linkage characteristic polynomial to. Please start with the tutorial for shaft calculation to see how to introduce geometry and supports for single shafts. An epicyclic gear train consists of two gears mounted so that the center of one gear revolves around the center of the other. Des june, 2017 detection of degenerate structure in single degreeoffreedom planetary gear trains. An epicyclic gear train consists of two gears mounted so that the center of one gear revolves. Topological synthesis of epicyclic gear trains using vertex incidence polynomial.
Need to view example 1 and 2 for actual solution method, see my other videos for those example and other engineering solutions. But in case of epicyclic gear trains, the axes of the shafts on which the gears are mounted may move relative to a. Calculation of a planetary gear train this tutorial shows the usage of mesys shaft calculation with shaft systems. O e of the prime and biggest use of a planetary gearbox is for running the armature of a wind turbine. These drives receive an unusually clear treatment because at dr. Identification of isomorphism in epicyclic gear trains a. Srinivasa rao, topological synthesis of epicyclic gear trains using vertex incidence polynomial, submitted to journal of mechanical design asme on 8th october, 2016. Easily share your publications and get them in front of issuus. Additional note for the solution of compound epicyclic gear systems.
D rotation of driver per revolution of follower or the driven gear or pulley. Kamesh 20 utilized the vertex incidence polynomial, proposed a synthesis. Planetary gears or epicyclic gears are typically classified as simple or compound planetary gears. Gears 5 5 epicyclic gear train it is the system of epicyclic gears in which at least one wheel axis itself revolves around another fixed axis. Epicyclic gearset gears 6 an epicyclic gear set has some gear or gears whose center revolves about some point. In an epicyclic or planetary gear train, several spur gears distributed evenly around the circumference run between a gear with internal teeth and a gear with external teeth on a concentric orbit. Topological synthesis of epicyclic gear trains using vertex incidence polynomial j. Traditionally, mechanisms are created by designers intuition, ingenuity, and experience. We propose hereafter a unified model of epicyclic gear trains, based on a primitive parametric kernel, which contains all usual gear train formulations of any compound gear train. Kamesh 20 utilized the vertex incidence polynomial, proposed a synthesis method and listed onedof.
Design, load analysis and optimization of compound epicyclic gear trains syed ibrahim dilawer1, md. Here is a gearset with a stationary ring gear and three planet gears on a rotating carrier. An another novel and easy method was proposed using a parameter like vertex incidence polynomial vip to synthesize epicyclic gear mechanisms up to 6links for detection of isomorphism. In this paper, a novel and simple method is proposed using a parameter, vertex incidence polynomial vip, to synthesize epicyclic gear trains up to six links eliminating all isomorphic gear. Research article by mathematical problems in engineering. Planetary epicyclic gear ratios equations and calculators. Epicyclic gear train is a fundamental form of mechanical transmission with broad.
Identification of isomorphic graphs was developed by calculating vip. Each epicyclic gear train is represented as a graph by denoting gear. Mallikarjuna rao kuchibhotlas 4 research works with 32 citations and 147 reads, including. Pdf an investigation to symmetry in epicyclic gear trains egts is carried out in. This paper aims to propose a new graph model, which has some merits relative to the existing ones, to represent the structure of pgts. Pdf dynamic analysis of epicyclic gear trains by means of. The structural synthesis of pgts is an effective way to create novel transmissions. Design, modelling and analysis of a 3 stage epicyclic planetary reduction gear unit of a flight vehicle k akhila1 and m amarnath reddy2 corresponding author. Pdf analysis of symmetry in epicyclic gear trains researchgate. Simple planetary gears have one sun, one ring, one carrier, and one planet set. Issuu is a digital publishing platform that makes it simple to publish magazines, catalogs, newspapers, books, and more online.
Epicyclic gear trainplanetary gears with motion i have made this epicyclic gear train in which i want to fix the carrier and use the sungear as input. Velocity ratio for epicyclic train velocity ratio of epicyclic gear train is the ratio of the speed of the driver to the speed of the driven or follower. Application of fuzzy entropy for the rating of epicyclic gear trains. This is new concept related to net distance for quantitative analysis of isomorphism in mechanisms. In this regard, every two central gears are part of a basic train. Sign up now to enroll in courses, follow best educators, interact with the community and track your progress. This method is extremely methodical, which is appropriate since use of intuition is quite futile with an epicyclic gear train such as the following example. Epicyclic gear ratio solution, additional notes youtube. For optimal design and operation of these gear trains, it is necessary to obtain complete efficiency maps of such transmissions. The combination of epicycle gear trains with a planet engaging both a sun gear and a ring gear is called a planetary gear train. The identification of isomorphism in epicyclic gear trains has been found a lot of attention by researchers for the last few years.