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Explore the world of gears and springs with an in-depth look at their uses and functions. From spur gears to worm gears, understand how each type works and their applications in various industries. Learn about gear design complexities, material selection, and gear pair representations in this comprehensive guide.
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Gears, springs Flóra Hajdu B406 hajdfl@sze.hu
Content • Gears • Springs Hajdu Flóra
Geardrives • The function of a gear is to transmit motion from one machine part to another and wherenecessary to reduce or increase the revolutions of a shaft • Gears are the most durable and rugged of all mechanicaldrives - gears rather than belts or chains areused in automotive transmissions and most heavy-dutymachine drives. • may be grouped according to the position of the shafts that they connect • Spur gears connect parallel shafts • bevel gears connectshafts whose axes intersect • worm gears connect shaftwhose axes do not intersect. • A spur gear with a rack convertsrotary motion to reciprocating or linear motion. • Gear design is very complicated, dealing with problems as strength, wear, and material selection - Normally a gearsareselected from a catalog. • Most gearsare made of cast iron or steel, but brass, bronze, and plastic are used when factors such as wear or noise must beconsidered. Hajdu Flóra
Geardrives • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design Hajdu Flóra
Spurgears • Gears are used to transmit motion and power at constantangular velocity. • The specific form of the gear that best produces this constant angular velocity is the involute. involute is curve traced by a point on a tautstring unwinding from a circle (basecircle). • Every involute gear has only one base circle fromwhich all the involute surfaces of the gear teeth are generated. • This base circle is not a physical part of the gear andcannot be measured directly. • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design Hajdu Flóra
Spurgeardefinitions • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design Hajdu Flóra
Spurgeardefinitions • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design Hajdu Flóra
Spurgears – schematicsrepresentation • The teeth on a gear are not normally shown on the workingdrawings. Instead, they are represented by solid, and center lines (pitchcircle) • A sectional view is sufficient unlessa front view is required to show web or arm details. • For inch-size gears, diametral pitch is used instead ofmodule. The diametral pitch is a ratio of the number of teethto a unit length of pitch diameter. • Module is the term used on metric gears. It is the length ofpitch diameter per tooth measured in millimeters. • Straightspurgears Hajdu Flóra
Spurgears – schematicsrepresentation Hajdu Flóra
Gearpair – schematicsrepresentation Hajdu Flóra
Gearpair – schematicsrepresentation Hajdu Flóra
Rack and pinion • A rack is a straight bar having teeth that engage the teethon a spur gear. • In theory, it is a spur gear having an infinite pitch diameter -> all circular dimensions become linear. • The addendum, dedendum, and tooththickness are the same as those of the mating spur gear. • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design Hajdu Flóra
Rack – schematicsrepresentation Hajdu Flóra
Rack and pinion – schematicsrepresentation Hajdu Flóra
Bevelgears • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design • Bevel gears are used to transmit power between two shafts whose axes intersect. • The axes may intersect at any angle, but the most common is 90°. • The teeth are the same shape as spur gear teeth but taper toward the cone apex. • Cast iron is normally used for gears that are not subject to heavy duty. • Often a gear (largerdiameter) and pinion (smallerdiameter) are made of different materials for efficiency and durability. • The pinion is made of a stronger material - the teeth on the pinion come into contact more times than the teeth on the gear. • Common combinations are steel and cast iron, and steel and bronze. Hajdu Flóra
Bevelgear – schematicsrepresentation Hajdu Flóra
Bevelgearpair – schematicsrepresentation Hajdu Flóra
Worm and wormgears • Worm gears are used to transmit power between two shafts that are at right angles to each other and are nonintersecting. • The teeth on the worm are similar to the teeth on the rack, and the teeth on the worm gear are curved to conform with the teeth on the worm. • Thread terms (pitch,lead) are used on the worm • Since a single-thread worm in one revolution advances the worm gear only one tooth and space, a large reduction in velocity is obtained. • The ratio of worm gear speed to the worm speed is the ratio between the number of teeth on the worm gear and the number of threads on the worm. A worm gear with 33 teeth and a worm with a multiple thread of three has a ratio of 11: 1. • a single-thread worm has a low lead (or helix) angle, it is inefficient and consequently not used to transmit power - multi-thread worms are used. Hajdu Flóra
Worm and wormgears • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design Hajdu Flóra
Worm – schematicsrepresentation Hajdu Flóra
Wormgear – schematicsrepresentation Hajdu Flóra
Wormgear – schematicsrepresentation Hajdu Flóra
Gears– schematicsrepresentation • Helicalgear • Curvedgear • Herringbonegear Hajdu Flóra
Comparison of chain and geardrives • Advantages of chains • Shaft center distances for chain drives are relatively unrestricted, whereas with gears, the center distance must be such that the pitch surfaces of the gears are tangent -simpler, less costly, and more practical design. • Chains are easily installed. Assembly tolerances for chain drives are not as restricted as those for gears - Savings in the time of installation. • The ease of chain installation is a definite advantage when later changes in design, such as speed ratio, capacity, and centers, are anticipated. Hajdu Flóra
Comparison of chain and geardrives • Advantages of gears • When space limitations require the shortest possible distance between shaft centers, a gear drive is usually preferable to a chain drive • The maximum speed ratio for satisfactory operation of a gear drive is usually greater than that for a chain drive. • Gears can be operated at higher rotative speeds than chain drives. Hajdu Flóra
Springs • Role of springs • Flexiblecoupling • Energystorage • Forceortorquelimitation • Forceortorquemeasurement • Dampingvibrations • Sizebalancingclosingelement Hajdu Flóra
Springs • Springs may be classified into 3 groups according to their application. • Controlled Action Springs: have a well-defined function, or a constant range of action for each cycle of operation. Examples are valve, die, and switch springs. • Variable-Action Springs: have a changing range of action because of the variable conditions imposed upon them. Examples are suspension, clutch, and cushion springs. • Static Springsexert a comparatively constant pressure or tension between parts. Examples are packing or bearing pressure, antirattle, and seal springs. Hajdu Flóra
Springs The type or name of a spring is determined by characteristics such as function, shape of material, application, or design. • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design Hajdu Flóra
Spring characteristics • Deformation – force diagram Spring stiffness Hajdu Flóra
Spring nomenclature • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design Hajdu Flóra
Compressionsprings • A compression spring is an open-coiled helical spring that offers resistance to a compressive force • Compressionspingends • Plain open ends are produced by straight cutoff with no reduction of helix angle. The spring should be guided on a rod or in a hole to operate satisfactorily. • Ground open ends are produced by parallel grinding of open-end coil springs. Advantages of this type of end are improved stability and a larger number of total coils. • Plain closed ends are produced with a straight cutoff and with reduction of helix angle to obtain closed-end coils, resulting in a more stable spring. • Ground closed ends are produced by parallel grinding of closed-end coil springs, resulting in maximum stability. • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design Hajdu Flóra
Compressionsprings Hajdu Flóra
Compressionsprings nm=4,5 nö=6,5 nm=4 nö=6 Hajdu Flóra
Technicaldrawing of a compressionspring L0: rugó terheletlen hossza Ln: rugó hossza a megengedett legnagyobb próbaterhelés alatt L1, L2: megadott F1, F2 erőkhöz tartozó hossz Hajdu Flóra
Extensionsprings • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design • An extension spring is a close-coiled, helical spring that offers resistance to a pulling force. • It is made from round or square wire • The end of an extension spring is usually the most highly stressed part. Thus, proper considerationshould be given to its selection. • Different types of ends can be used on the same type of spring. Hajdu Flóra
Extensionsprings Hajdu Flóra
Torsion springs • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design • Springs exerting pressure along a path that is a circular arc, or in other words, providing a torque (turning action • usually a helical spring of round, square, or rectangular wire, loaded by torque. • The variation in ends used is almost limitless • A torsion bar spring is a relatively straight bar anchored at one end, on which a torque may be exerted at the other end, thus tending to twist or rotate it about its axis. Hajdu Flóra
Torsion springs Hajdu Flóra
Powersprings • A fiat coil spring, also known as a clock or motor spring, consists of a strip of tempered steel wound on an arbor and usually confined in a case or drum. Hajdu Flóra
Flatsprings • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design • Flat springs are made of flat material formed in such a manner as to apply force in the desired direction when deflected in the opposite direction. • A leaf spring is composed of a series of flat springs nested together and arranged to provide approximately uniform distribution of stress throughout its length. Springs may be used in multiple arrangements Hajdu Flóra
Flatsprings • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design • Flat springs are made of flat material formed in such a manner as to apply force in the desired direction when deflected in the opposite direction. • Bellevillespringsarewasher-shaped made intheform of a short, truntactedcone. May be assembled • in series toaccomodategreaterdeflections • In parallel toresistgreaterforces • Incombination of series and parallel Hajdu Flóra
Belevillesprings Hajdu Flóra
Rubbersprings • Application: vehicleindustry • Advantage • highdeformability • different shapes can be easily achieved, • highenergystorage. • Disadvantage: • the oxygen in the air causes the rubber to age rapidly, • it freezes in a cold environment, it becomes fragile, • Mineraloildissolves Hajdu Flóra
Rubbersprings Hajdu Flóra
Rubbersprings Hajdu Flóra
Air springs • Hydropneumaticsystem • The spherical spring element is separated by a diaphragm • the space between the membrane and the piston is filled with oil • Push rod is connectedwith a lever lever to the wheel. • By changing the oil charge, the chassis can be held at a constant height regardless of the load. • Automatic - the oil flow is controlled by the shift lever controlled by the wheel arm. • The constant oil pressure required to control the system is provided by an air-cushioned oil battery between the oil pump and the control pump. Hajdu Flóra
Spring clips • Spring clips perform multiple functions and eliminate the handling of several small parts -> reduce assembly costs. • generally self-retaining requiring only a flange, panel edge, or mounting hole to clip to. • light -duty fasteners and serve the same function as small bolts and nuts, self-tapping screws, clamps, spot welding, and formed retaining plates. • Dart-Type Spring Clips have hips to engage within panel or component holes. The top of arms of the fastener can be formed in any shape to perform unlimited fastening functions. • Stud Receiver Clips There are three basic types push-ons, tubular types, and self-threading fasteners. All are designed to make attachments to unthreaded studs, rivets, pins, or rods of metal or plastic. • Cable, Wire, and Tube Clips: These fasteners incorporate self-retaining elements for engaging panel holes or mounting on panel edges and flanges. Spring-clip cable, wire, and tubing fasteners are frontmounting devices, requiring no access to the back of the panel. • Spring Molding Clips Molding retaining clips are formed with legs that hold the clips to a panel and arms that positively engage the flanges of various sizes and shapesof trim molding and pull the molding tightly to the attaching panel • U-, 5-, and C-Shaped Spring Clips The fastening function is accomplished by using inward compressive spring force to secure assembly components or provide self-retrntion after installation. Hajdu Flóra
Spring clips • Source: C. Jensen, J. D. Helsel, D. R. Short: Engineering Drawing&Design Hajdu Flóra
Summary • Geartypes • Gearassemblies • Spring types • Nextweek: Welded, soldered, glued and rivetedconnections