{"id":380,"date":"2023-06-20T04:33:36","date_gmt":"2023-06-20T04:33:36","guid":{"rendered":"https:\/\/physigeek.com\/pt\/engrenagens-planetarias\/"},"modified":"2023-06-20T04:33:36","modified_gmt":"2023-06-20T04:33:36","slug":"engrenagens-planetarias","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/engrenagens-planetarias\/","title":{"rendered":"Engrenagens planet\u00e1rias"},"content":{"rendered":"<p>Este artigo explica o que s\u00e3o engrenagens planet\u00e1rias e para que s\u00e3o utilizadas. Assim, voc\u00ea encontrar\u00e1 a defini\u00e7\u00e3o de engrenagem planet\u00e1ria, quais s\u00e3o as partes das engrenagens planet\u00e1rias, quais s\u00e3o os diferentes tipos de engrenagens planet\u00e1rias e as f\u00f3rmulas deste tipo de engrenagens. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-engranaje-planetario\"><\/span> O que \u00e9 uma engrenagem planet\u00e1ria?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Uma <strong>engrenagem planet\u00e1ria<\/strong> , tamb\u00e9m chamada <strong>de engrenagem <strong>epic\u00edclica<\/strong><\/strong> , \u00e9 um sistema de engrenagens que consiste em v\u00e1rias engrenagens externas (planetas) girando em torno de uma engrenagem central (sol).<\/p>\n<p> As engrenagens planet\u00e1rias geralmente possuem um bra\u00e7o m\u00f3vel embutido (portador de sat\u00e9lite) que pode girar. Al\u00e9m disso, as engrenagens planet\u00e1rias tamb\u00e9m podem incorporar uma engrenagem auxiliar externa (engrenagem de coroa). <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"350\" height=\"221\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/engrenages-planetaires.jpeg\" alt=\"engrenagens planet\u00e1rias\" class=\"wp-image-6947\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/engrenages-planetaires-300x189.jpeg 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/engrenages-planetaires.jpeg 350w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> Em geral, os eixos das pe\u00e7as das engrenagens planet\u00e1rias s\u00e3o retos, por\u00e9m, tamb\u00e9m existem casos especiais em que s\u00e3o utilizadas <a href=\"https:\/\/physigeek.com\/pt\/engrenagem-conica\/\">engrenagens c\u00f4nicas<\/a> e, portanto, os eixos n\u00e3o s\u00e3o paralelos.<\/p>\n<p> Embora as engrenagens planet\u00e1rias tamb\u00e9m sejam compostas por diversas engrenagens, elas n\u00e3o devem ser confundidas com trens de engrenagens, pois s\u00e3o sistemas de engrenagens diferentes com caracter\u00edsticas diferentes. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/physigeek.com\/pt\/trem-de-engrenagens\/\">O que \u00e9 uma engrenagem?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Partes-de-un-engranaje-planetario\"><\/span> Partes de uma engrenagem planet\u00e1ria<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> As <strong>partes de uma engrenagem planet\u00e1ria<\/strong> s\u00e3o:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Sol<\/strong> : \u00e9 a engrenagem solar do trem planet\u00e1rio.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Planetas<\/strong> : s\u00e3o as engrenagens que est\u00e3o orientadas para o sol e giram em torno dele.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Porta-planetas<\/strong> : \u00e9 a parte da engrenagem planet\u00e1ria que sustenta os planetas. Portanto, ele gira em torno do Sol na mesma velocidade que os planetas.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Coroa<\/strong> : \u00e9 uma engrenagem externa que possui dentes em sua face interna e engrena com os dentes dos planetas.<\/span> <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"400\" height=\"247\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/pieces-dengrenage-planetaire.png\" alt=\"partes de uma engrenagem planet\u00e1ria\" class=\"wp-image-6952\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/pieces-dengrenage-planetaire-300x185.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/pieces-dengrenage-planetaire.png 400w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> <strong>Nota:<\/strong> Observe que tamb\u00e9m \u00e9 usada outra terminologia em que o planeta \u00e9 a engrenagem central e os sat\u00e9lites s\u00e3o as engrenagens que giram em torno dele.<\/p>\n<p> Em geral, as engrenagens planet\u00e1rias costumam ser formadas por tr\u00eas engrenagens planet\u00e1rias, pois este \u00e9 o arranjo em que a carga \u00e9 melhor distribu\u00edda.<\/p>\n<p> Em qualquer engrenagem planet\u00e1ria, um de seus componentes deve permanecer fixo, outro componente \u00e9 o elemento de entrada, que alimenta o sistema, e outro componente \u00e9 o elemento de sa\u00edda, que transmite energia para outro dispositivo mec\u00e2nico. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tipos-de-engranajes-planetarios\"><\/span> Tipos de engrenagens planet\u00e1rias<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> As engrenagens planet\u00e1rias s\u00e3o classificadas de acordo com o elemento fixo. Assim, os diferentes <strong>tipos de engrenagens planet\u00e1rias<\/strong> s\u00e3o os seguintes:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Engrenagem planet\u00e1ria com coroa fixa<\/strong> : todos os elementos do trem de engrenagens epic\u00edclicas giram, exceto a coroa. Normalmente, o elemento de sa\u00edda \u00e9 o portador planet\u00e1rio. Neste caso, a velocidade angular diminui e o torque aumenta.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Engrenagem Planet\u00e1ria Fixa<\/strong> : Neste tipo de engrenagem planet\u00e1ria, as engrenagens planet\u00e1rias s\u00e3o fixas, portanto a coroa \u00e9 o elemento de entrada e o porta-planetas \u00e9 o elemento de sa\u00edda. O torque aumenta e a velocidade angular diminui, mas em menor grau do que no caso anterior.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Engrenagem planet\u00e1ria com suporte planet\u00e1rio fixo<\/strong> : o suporte planet\u00e1rio n\u00e3o gira e, portanto, a coroa e o sol t\u00eam sentidos de rota\u00e7\u00e3o diferentes.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Engrenagem Planet\u00e1ria Direct Drive<\/strong> : Neste tipo de engrenagem planet\u00e1ria, dois de seus componentes s\u00e3o fixos. Consequentemente, a transmiss\u00e3o do movimento ocorre diretamente entre os dois elementos m\u00f3veis.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-los-engranajes-planetarios\"><\/span> F\u00f3rmula de engrenagem planet\u00e1ria<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A rela\u00e7\u00e3o de transmiss\u00e3o geral de um sistema de engrenagens planet\u00e1rias pode ser calculada usando as duas equa\u00e7\u00f5es a seguir, representando as intera\u00e7\u00f5es sol-planeta e planeta-coroa, respectivamente:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bb7f62b0af05145848ab2a6da266a9c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_s\\omega_s+Z_p\\omega_p-(Z_s+Z_p)\\omega_{pp} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"251\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a51519e71d1ae465cdca58e84c21c448_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_c\\omega_c-Z_p\\omega_p-(Z_c-Z_p)\\omega_{pp} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"250\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> Assim, das duas equa\u00e7\u00f5es anteriores podemos deduzir a <strong>f\u00f3rmula para a rela\u00e7\u00e3o global de transmiss\u00e3o das engrenagens planet\u00e1rias<\/strong> :<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c4309856beb78b8f7e93a75b2417d037_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-\\cfrac{N_c}{N_s}=\\cfrac{\\omega_s-\\omega_{pp}}{\\omega_c-\\omega_{pp}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"128\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:6px\"> Ouro: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:6px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7f9162360d1c0ddf6bf14f1ab38d9915_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega_s,\\omega_p, \\omega_c, \\omega_{pp}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"103\" style=\"vertical-align: -6px;\"><\/p>\n<p> s\u00e3o respectivamente as velocidades angulares do sol, dos planetas, da coroa e do portador do planeta.<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b9ac1d103c9daab385f3d44bb82cba84_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_s,Z_p,Z_c\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"72\" style=\"vertical-align: -6px;\"><\/p>\n<p> s\u00e3o respectivamente o n\u00famero de dentes do sol, dos planetas e da coroa. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aplicaciones-de-los-engranajes-planetarios\"><\/span> Aplica\u00e7\u00f5es de engrenagens planet\u00e1rias<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Basicamente, as engrenagens planet\u00e1rias s\u00e3o usadas para obter uma redu\u00e7\u00e3o significativa na velocidade angular em um espa\u00e7o pequeno. Da mesma forma, as engrenagens planet\u00e1rias s\u00e3o utilizadas para aumentar significativamente o torque transmitido enquanto ocupam um pequeno volume.<\/p>\n<p> Assim, na engenharia, as engrenagens planet\u00e1rias t\u00eam aplica\u00e7\u00f5es muito diversas. Por exemplo, engrenagens planet\u00e1rias s\u00e3o usadas em motores turboeixo, equipamentos de constru\u00e7\u00e3o e at\u00e9 mesmo em algumas chaves de fenda el\u00e9tricas.<\/p>\n<p> Al\u00e9m disso, uma das vantagens das engrenagens planet\u00e1rias \u00e9 que elas s\u00e3o mais resistentes e se desgastam menos do que outros tipos de engrenagens, pois distribuem a carga entre os planetas.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que s\u00e3o engrenagens planet\u00e1rias e para que s\u00e3o utilizadas. Assim, voc\u00ea encontrar\u00e1 a defini\u00e7\u00e3o de engrenagem planet\u00e1ria, quais s\u00e3o as partes das engrenagens planet\u00e1rias, quais s\u00e3o os diferentes tipos de engrenagens planet\u00e1rias e as f\u00f3rmulas deste tipo de engrenagens. O que \u00e9 uma engrenagem planet\u00e1ria? Uma engrenagem planet\u00e1ria , tamb\u00e9m chamada &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/engrenagens-planetarias\/\"> <span class=\"screen-reader-text\">Engrenagens planet\u00e1rias<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[10],"tags":[],"class_list":["post-380","post","type-post","status-publish","format-standard","hentry","category-maquinas-e-mecanismos"],"yoast_head":"<!-- This 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