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In an epicyclic or planetary gear train, several spur gears distributed evenly around the circumference manage between a gear with internal teeth and a gear with exterior teeth on a concentric orbit. The circulation of the spur gear takes place in analogy to the orbiting of the planets in the solar system. This is one way planetary gears acquired their name.
The parts of a planetary gear train can be split into four main constituents.
The housing with integrated internal teeth is known as a ring gear. In the majority of cases the casing is fixed. The traveling sun pinion is definitely in the center of the ring equipment, and is coaxially arranged with regards to the output. Sunlight pinion is usually mounted on a clamping system in order to give the mechanical link with the engine shaft. During procedure, the planetary gears, which happen to be installed on a planetary carrier, roll between the sun pinion and the ring equipment. The planetary carrier as well represents the output shaft of the gearbox.
The sole reason for the planetary gears is to transfer the required torque. The quantity of teeth has no effect on the tranny ratio of the gearbox. The quantity of planets may also vary. As the amount of planetary gears boosts, the distribution of the strain increases and then the torque that can be transmitted. Raising the quantity of tooth engagements also reduces the rolling power. Since only section of the total end result must be transmitted as rolling vitality, a planetary gear is extremely efficient. The benefit of a planetary gear compared to an individual spur gear lies in this load distribution. Hence, it is possible to transmit huge torques wit
h high efficiency with a compact style using planetary gears.
Provided that the ring gear includes a frequent size, different ratios could be realized by various the quantity of teeth of sunlight gear and the number of the teeth of the planetary gears. The smaller the sun equipment, the greater the ratio. Technically, a meaningful ratio selection for a planetary level is approx. 3:1 to 10:1, because the planetary gears and sunlight gear are extremely small above and below these ratios. Bigger ratios can be obtained by connecting a couple of planetary levels in series in the same band gear. In this case, we talk about multi-stage gearboxes.
With planetary gearboxes the speeds and torques could be overlaid by having a band gear that is not set but is driven in virtually any direction of rotation. Additionally it is possible to fix the drive shaft so that you can pick up the torque via the band equipment. Planetary gearboxes have become extremely important in lots of areas of mechanical engineering.
They have grown to be particularly well established in areas where high output levels and fast speeds should be transmitted with favorable mass inertia ratio adaptation. Great transmission ratios may also easily be achieved with planetary gearboxes. Because of the positive properties and compact design and style, the gearboxes have many potential uses in commercial applications.
The advantages of planetary gearboxes:
Coaxial arrangement of input shaft and output shaft
Load distribution to many planetary gears
High efficiency because of low rolling power
Practically unlimited transmission ratio options due to mixture of several planet stages
Ideal as planetary switching gear because of fixing this or that portion of the gearbox
Possibility of use as overriding gearbox
Favorable volume output
Suitability for a variety of applications
Epicyclic gearbox can be an automatic type gearbox in which parallel shafts and gears set up from manual gear package are replaced with more compact and more efficient sun and planetary type of gears arrangement and also the manual clutch from manual power train is replaced with hydro coupled clutch or torque convertor which made the transmitting automatic.
The thought of epicyclic gear box is taken from the solar system which is known as to an ideal arrangement of objects.
The epicyclic gearbox usually includes the P N R D S (Parking, Neutral, Reverse, Drive, Sport) modes which is obtained by fixing of sun and planetary gears in line with the need of the drive.
The different parts of Epicyclic Gearbox
1. Ring gear- This is a type of gear which appears like a ring and also have angular slice teethes at its interior surface ,and is placed in outermost placement in en epicyclic gearbox, the internal teethes of ring equipment is in constant mesh at outer level with the group of planetary gears ,it is also referred to as annular ring.
2. Sun gear- It’s the gear with angular lower teethes and is placed in the center of the epicyclic gearbox; sunlight gear is in continuous mesh at inner level with the planetary gears and is connected with the source shaft of the epicyclic gear box.
One or more sun gears works extremely well for achieving different output.
3. Planet gears- They are small gears used in between ring and sun equipment , the teethes of the earth gears are in constant mesh with sunlight and the ring gear at both inner and outer points respectively.
The axis of the earth gears are attached to the earth carrier which is carrying the output shaft of the epicyclic gearbox.
The planet gears can rotate about their axis and in addition can revolve between your ring and sunlight gear exactly like our solar system.
4. Planet carrier- It is a carrier attached with the axis of the planet gears and is accountable for final tranny of the productivity to the output shaft.
The planet gears rotate over the carrier and the revolution of the planetary gears causes rotation of the carrier.
5. Brake or clutch band- These devices used to fix the annular gear, sunshine gear and planetary gear and is managed by the brake or clutch of the vehicle.
Working of Epicyclic Gearbox
The working principle of the epicyclic gearbox is based on the actual fact the fixing any of the gears i.electronic. sun equipment, planetary gears and annular gear is done to obtain the essential torque or velocity output. As fixing any of the above triggers the variation in equipment ratios from large torque to high rate. So let’s observe how these ratios are obtained
First gear ratio
This provide high torque ratios to the automobile which helps the vehicle to go from its initial state and is obtained by fixing the annular gear which causes the planet carrier to rotate with the energy supplied to the sun gear.
Second gear ratio
This gives high speed ratios to the vehicle which helps the automobile to attain higher speed during a drive, these ratios are obtained by fixing sunlight gear which in turn makes the earth carrier the powered member and annular the driving a car member as a way to achieve high speed ratios.
Reverse gear ratio
This gear reverses the direction of the output shaft which reverses the direction of the automobile, this gear is achieved by fixing the earth gear carrier which makes the annular gear the motivated member and sunlight gear the driver member.
Note- More rate or torque ratios can be achieved by increasing the quantity planet and sun equipment in epicyclic gear package.
High-speed epicyclic gears could be built relatively tiny as the power is distributed over a couple of meshes. This effects in a low power to excess weight ratio and, together with lower pitch range velocity, leads to improved efficiency. The small gear diameters produce lower occasions of inertia, significantly reducing acceleration and deceleration torque when starting and braking.
The coaxial design permits smaller and for that reason more cost-effective foundations, enabling building costs to be kept low or entire generator sets to be integrated in containers.
The reasons why epicyclic gearing is utilized have been covered in this magazine, so we’ll expand on this issue in only a few places. Let’s get started by examining a crucial facet of any project: price. Epicyclic gearing is normally less costly, when tooled properly. Just as one wouldn’t normally consider making a 100-piece large amount of gears on an N/C milling equipment with a form cutter or ball end mill, one should not consider making a 100-piece large amount of epicyclic carriers on an N/C mill. To hold carriers within affordable manufacturing costs they must be made from castings and tooled on single-purpose equipment with multiple cutters simultaneously removing material.
Size is another component. Epicyclic gear models are used because they’re smaller than offset gear sets since the load is certainly shared among the planed gears. This makes them lighter and smaller sized, versus countershaft gearboxes. Also, when configured effectively, epicyclic gear pieces are more efficient. The following example illustrates these benefits. Let’s assume that we’re creating a high-speed gearbox to meet the following requirements:
• A turbine gives 6,000 horsepower at 16,000 RPM to the insight shaft.
• The outcome from the gearbox must drive a generator at 900 RPM.
• The design your life is to be 10,000 hours.
With these requirements at heart, let’s look at three practical solutions, one involving a single branch, two-stage helical gear set. A second solution takes the original gear establish and splits the two-stage lowering into two branches, and the 3rd calls for by using a two-level planetary or celebrity epicyclic. In this instance, we chose the celebrity. Let’s examine each of these in greater detail, searching at their ratios and resulting weights.
The first solution-a single branch, two-stage helical gear set-has two identical ratios, derived from taking the square base of the final ratio (7.70). Along the way of reviewing this alternative we recognize its size and weight is very large. To lessen the weight we then explore the possibility of earning two branches of an identical arrangement, as observed in the second solutions. This cuts tooth loading and minimizes both size and pounds considerably . We finally reach our third solution, which may be the two-stage superstar epicyclic. With three planets this equipment train reduces tooth loading drastically from the 1st approach, and a relatively smaller amount from alternative two (discover “methodology” at end, and Figure 6).
The unique design and style characteristics of epicyclic gears are a big part of why is them so useful, yet these very characteristics could make building them a challenge. Within the next sections we’ll explore relative speeds, torque splits, and meshing considerations. Our target is to make it easy that you can understand and work with epicyclic gearing’s unique design characteristics.
Relative Speeds
Let’s start by looking for how relative speeds operate together with different arrangements. In the star arrangement the carrier is set, and the relative speeds of sunlight, planet, and band are simply determined by the speed of one member and the amount of teeth in each gear.
In a planetary arrangement the band gear is fixed, and planets orbit the sun while rotating on earth shaft. In this arrangement the relative speeds of the sun and planets are determined by the number of teeth in each equipment and the swiftness of the carrier.
Things get somewhat trickier when working with coupled epicyclic gears, since relative speeds may well not be intuitive. Hence, it is imperative to at all times calculate the speed of the sun, planet, and ring in accordance with the carrier. Remember that also in a solar set up where the sun is fixed it includes a speed romance with the planet-it is not zero RPM at the mesh.
Torque Splits
When contemplating torque splits one assumes the torque to be divided among the planets equally, but this might not be a valid assumption. Member support and the amount of planets determine the torque split represented by an “effective” number of planets. This amount in epicyclic sets designed with two or three planets is generally equal to some of the number of planets. When a lot more than three planets are used, however, the effective amount of planets is at all times less than you see, the number of planets.
Let’s look by torque splits when it comes to set support and floating support of the people. With fixed support, all participants are supported in bearings. The centers of sunlight, ring, and carrier will not be coincident because of manufacturing tolerances. For that reason fewer planets are simultaneously in mesh, producing a lower effective quantity of planets posting the load. With floating support, a couple of people are allowed a little amount of radial freedom or float, that allows the sun, band, and carrier to get a posture where their centers are coincident. This float could be as little as .001-.002 ins. With floating support three planets will always be in mesh, producing a higher effective number of planets sharing the load.
Multiple Mesh Considerations
At the moment let’s explore the multiple mesh considerations that needs to be made when designing epicyclic gears. 1st we must translate RPM into mesh velocities and determine the number of load app cycles per unit of time for each and every member. The first step in this determination is usually to calculate the speeds of each of the members in accordance with the carrier. For example, if the sun gear is rotating at +1700 RPM and the carrier can be rotating at +400 RPM the acceleration of the sun gear relative to the carrier is +1300 RPM, and the speeds of world and ring gears could be calculated by that rate and the amounts of teeth in each one of the gears. The utilization of symptoms to symbolize clockwise and counter-clockwise rotation is normally important here. If the sun is rotating at +1700 RPM (clockwise) and the carrier is rotating -400 RPM (counter-clockwise), the relative swiftness between the two users is definitely +1700-(-400), or +2100 RPM.
The second step is to decide the number of load application cycles. Because the sun and ring gears mesh with multiple planets, the amount of load cycles per revolution in accordance with the carrier will end up being equal to the quantity of planets. The planets, however, will experience only 1 bi-directional load app per relative revolution. It meshes with sunlight and ring, however the load is definitely on opposite sides of one’s teeth, leading to one fully reversed tension cycle. Thus the earth is known as an idler, and the allowable stress must be reduced thirty percent from the worthiness for a unidirectional load program.
As noted over, the torque on the epicyclic people is divided among the planets. In examining the stress and life of the people we must look at the resultant loading at each mesh. We get the concept of torque per mesh to become relatively confusing in epicyclic gear evaluation and prefer to look at the tangential load at each mesh. For instance, in searching at the tangential load at the sun-world mesh, we have the torque on sunlight gear and divide it by the powerful quantity of planets and the working pitch radius. This tangential load, combined with peripheral speed, is employed to compute the energy transmitted at each mesh and, modified by the load cycles per revolution, the life expectancy of every component.
Furthermore to these issues there may also be assembly complications that require addressing. For example, placing one planet ready between sun and ring fixes the angular situation of sunlight to the ring. Another planet(s) can now be assembled just in discreet locations where in fact the sun and band can be at the same time involved. The “least mesh angle” from the first planet that will accommodate simultaneous mesh of the next planet is add up to 360° divided by the sum of the amounts of teeth in sunlight and the ring. Thus, to be able to assemble further planets, they must become spaced at multiples of the least mesh angle. If one wants to have equivalent spacing of the planets in a simple epicyclic set, planets may be spaced equally when the sum of the amount of teeth in sunlight and band is certainly divisible by the amount of planets to an integer. The same guidelines apply in a compound epicyclic, but the set coupling of the planets adds another degree of complexity, and appropriate planet spacing may necessitate match marking of the teeth.
With multiple pieces in mesh, losses should be considered at each mesh in order to measure the efficiency of the unit. Vitality transmitted at each mesh, not input power, can be used to compute power reduction. For simple epicyclic sets, the total vitality transmitted through the sun-world mesh and ring-world mesh may be less than input ability. This is among the reasons that easy planetary epicyclic units are better than other reducer arrangements. In contrast, for most coupled epicyclic pieces total electric power transmitted internally through each mesh could be greater than input power.
What of electricity at the mesh? For simple and compound epicyclic pieces, calculate pitch series velocities and tangential loads to compute electricity at each mesh. Values can be acquired from the planet torque relative swiftness, and the operating pitch diameters with sunlight and ring. Coupled epicyclic models present more technical issues. Components of two epicyclic units can be coupled 36 various ways using one type, one outcome, and one reaction. Some arrangements split the power, although some recirculate electrical power internally. For these kinds of epicyclic units, tangential loads at each mesh can only be motivated through the use of free-body diagrams. Additionally, the elements of two epicyclic sets could be coupled nine various ways in a string, using one suggestions, one outcome, and two reactions. Let’s look at a few examples.
In the “split-vitality” coupled set shown in Figure 7, 85 percent of the transmitted power flows to band gear #1 and 15 percent to ring gear #2. The effect is that coupled gear set can be scaled-down than series coupled pieces because the electric power is split between your two elements. When coupling epicyclic units in a series, 0 percent of the energy will be transmitted through each establish.
Our next case in point depicts a set with “electricity recirculation.” This equipment set comes about when torque gets locked in the machine in a manner similar to what takes place in a “four-square” test process of vehicle drive axles. With the torque locked in the machine, the horsepower at each mesh within the loop heightens as speed increases. As a result, this set will experience much higher ability losses at each mesh, resulting in substantially lower unit efficiency .
Physique 9 depicts a free-body diagram of an epicyclic arrangement that activities vitality recirculation. A cursory analysis of this free-human body diagram explains the 60 percent performance of the recirculating set displayed in Figure 8. Since the planets will be rigidly coupled together, the summation of forces on both gears must the same zero. The drive at sunlight gear mesh results from the torque insight to the sun gear. The push at the second ring gear mesh benefits from the output torque on the ring equipment. The ratio being 41.1:1, output torque is 41.1 times input torque. Adjusting for a pitch radius big difference of, say, 3:1, the pressure on the second planet will be around 14 times the pressure on the first world at the sun gear mesh. For this reason, for the summation of forces to mean zero, the tangential load at the first ring gear must be approximately 13 situations the tangential load at the sun gear. If we assume the pitch range velocities to end up being the same at the sun mesh and ring mesh, the energy loss at the band mesh will be around 13 times greater than the energy loss at the sun mesh .