Cycloid gear (original) (raw)
Un engranaje cicloide (también denominado cicloidal) es una forma de engranaje recto utilizado en relojes mecánicos, en lugar de la forma de engranaje evolvente utilizada para la mayor parte de aplicaciones. El perfil de los dientes del engranaje se basa en las curvas epicicloide e hipocicloide, generadas por un círculo que rueda alrededor del exterior y del interior de otro círculo, respectivamente. También se utilizan como sistemas de impulsión en los compresores volumétricos.
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| dbo:abstract | The cycloidal gear profile is a form of toothed gear used in mechanical clocks, rather than the involute gear form used for most other gears. The gear tooth profile is based on the epicycloid and hypocycloid curves, which are the curves generated by a circle rolling around the outside and inside of another circle, respectively. When two toothed gears mesh, an imaginary circle, the pitch circle, can be drawn around the centre of either gear through the point where their teeth make contact. The curves of the teeth outside the pitch circle are known as the addenda, and the curves of the tooth spaces inside the pitch circle are known as the dedenda. An addendum of one gear rests inside a dedendum of the other gear. In the cycloidal gears, the addenda of the wheel teeth are convex epi-cycloidal and the dedenda of the pinion are concave hypocycloidal curves generated by the same generating circle. This ensures that the motion of one gear is transferred to the other at locally constant angular velocity. The size of the generating circle may be freely chosen, mostly independent of the number of teeth. A Roots blower is one extreme, a form of cycloid gear where the ratio of the pitch diameter to the generating circle diameter equals twice the number of lobes. In a two-lobed blower, the generating circle is one-fourth the diameter of the pitch circles, and the teeth form complete epi- and hypo-cycloidal arcs. In clockmaking, the generating circle diameter is commonly chosen to be one-half the pitch diameter of one of the gears. This results in a dedendum which is a simple straight radial line, and therefore easy to shape and polish with hand tools. The addenda are not complete epicycloids, but portions of two different ones which intersect at a point, resulting in a "gothic arch" tooth profile. A limitation of this gear is that it works for a constant distance between centers of two gears. This condition -in most of the cases- is impractical because of involvement of vibration, and thus in most of the cases, an involute profile of the gear is used. There is some dispute over the invention of cycloidal gears. Those involved include Gérard Desargues, Philippe de La Hire, Ole Rømer, and Charles Étienne Louis Camus. A cycloid (as used for the flank shape of a cycloidal gear) is constructed by rolling a rolling circle on a base circle. If the diameter of this rolling circle is chosen to be infinitely large, a straight line is obtained. The resulting cycloid is then called an involute and the gear is called an involute gear. In this respect involute gears are only a special case of cycloidal gears. (en) Un engranaje cicloide (también denominado cicloidal) es una forma de engranaje recto utilizado en relojes mecánicos, en lugar de la forma de engranaje evolvente utilizada para la mayor parte de aplicaciones. El perfil de los dientes del engranaje se basa en las curvas epicicloide e hipocicloide, generadas por un círculo que rueda alrededor del exterior y del interior de otro círculo, respectivamente. También se utilizan como sistemas de impulsión en los compresores volumétricos. (es) |
| dbo:thumbnail | wiki-commons:Special:FilePath/Cycloidal_rotor_construction_-_2_lobes.svg?width=300 |
| dbo:wikiPageExternalLink | http://kmoddl.library.cornell.edu/e-books.php http://kmoddl.library.cornell.edu/index.php http://switzernet.com/people/emin-gabrielyan/100512-gear-engine/ http://www.csparks.com/watchmaking/CycloidalGears/index.jxl https://doi.org/10.1016/j.jfranklin.2010.06.003 |
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| dbo:wikiPageLength | 4473 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID | 1069325516 (xsd:integer) |
| dbo:wikiPageWikiLink | dbc:Gears dbr:Roots_blower dbr:Epicycloid dbr:Cycloid dbr:Cycloidal_drive dbr:Involute dbr:Involute_gear dbr:Clock dbr:Gear dbr:Angular_velocity dbr:Charles_Étienne_Louis_Camus dbc:Roulettes_(curve) dbr:Hypocycloid dbr:Philippe_de_La_Hire dbr:Ole_Rømer dbr:Gothic_arch dbr:Gérard_Desargues dbr:File:Cycloidal_rotor_construction_-_2_lobes.svg |
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| dcterms:subject | dbc:Gears dbc:Roulettes_(curve) |
| gold:hypernym | dbr:Form |
| rdf:type | yago:Artifact100021939 yago:Device103183080 yago:Gear103430551 yago:Instrumentality103575240 yago:Machine103700963 yago:MechanicalDevice103736970 yago:Mechanism103738472 yago:Object100002684 yago:PhysicalEntity100001930 yago:WikicatGears yago:Wheel104574999 yago:Whole100003553 |
| rdfs:comment | Un engranaje cicloide (también denominado cicloidal) es una forma de engranaje recto utilizado en relojes mecánicos, en lugar de la forma de engranaje evolvente utilizada para la mayor parte de aplicaciones. El perfil de los dientes del engranaje se basa en las curvas epicicloide e hipocicloide, generadas por un círculo que rueda alrededor del exterior y del interior de otro círculo, respectivamente. También se utilizan como sistemas de impulsión en los compresores volumétricos. (es) The cycloidal gear profile is a form of toothed gear used in mechanical clocks, rather than the involute gear form used for most other gears. The gear tooth profile is based on the epicycloid and hypocycloid curves, which are the curves generated by a circle rolling around the outside and inside of another circle, respectively. The size of the generating circle may be freely chosen, mostly independent of the number of teeth. There is some dispute over the invention of cycloidal gears. Those involved include Gérard Desargues, Philippe de La Hire, Ole Rømer, and Charles Étienne Louis Camus. (en) |
| rdfs:label | Engranaje cicloide (es) Cycloid gear (en) |
| owl:sameAs | freebase:Cycloid gear yago-res:Cycloid gear wikidata:Cycloid gear dbpedia-es:Cycloid gear dbpedia-fa:Cycloid gear https://global.dbpedia.org/id/4ikaX |
| prov:wasDerivedFrom | wikipedia-en:Cycloid_gear?oldid=1069325516&ns=0 |
| foaf:depiction | wiki-commons:Special:FilePath/Cycloidal_rotor_construction_-_2_lobes.svg |
| foaf:isPrimaryTopicOf | wikipedia-en:Cycloid_gear |
| is dbo:knownFor of | dbr:Ole_Rømer |
| is dbo:wikiPageRedirects of | dbr:Hypocycloidal_gear dbr:Cycloidal_gear |
| is dbo:wikiPageWikiLink of | dbr:Cycloid dbr:Cycloidal_drive dbr:Involute_gear dbr:Gear dbr:Spur_gear dbr:Hobbing dbr:Ole_Rømer dbr:Hypocycloidal_gear dbr:Cycloidal_gear |
| is dbp:knownFor of | dbr:Ole_Rømer |
| is foaf:primaryTopic of | wikipedia-en:Cycloid_gear |
