{"id":128,"date":"2021-11-24T21:35:55","date_gmt":"2021-11-24T21:35:55","guid":{"rendered":"https:\/\/agileaircraft.com\/?page_id=128"},"modified":"2023-12-30T06:52:13","modified_gmt":"2023-12-30T06:52:13","slug":"rotor-design","status":"publish","type":"page","link":"https:\/\/agileaircraft.com\/?page_id=128","title":{"rendered":"Rotor Design"},"content":{"rendered":"\n<h4 class=\"wp-block-heading\">Background<\/h4>\n\n\n\n<p>Variable pitch propellers and rotors are widely used in aircraft. In winged aircraft, variable pitch helps match propulsion to&nbsp;the requirements of each&nbsp;different stage&nbsp;of flight. In helicopters blade pitch&nbsp;is varied over each rotation cycle to provide both lift and flight control.<\/p>\n\n\n\n<p>Variable pitch propellers have been used in multi-rotor electric <strong>Vertical Take Off and Landing<\/strong> (eVTOL) aircraft in which the design requires propellers to provide both vertical lift for takeoff and efficient thrust for horizontal cruising at a high advance ratio. The goal to optimise performance over a wide but slowly transitioning range of advance-ratios does not require a quick-acting collective pitch control mechanism. Other designs for low advance-ratios have often used fixed-pitch propellers, perhaps to reduce complexity and expense.<br><br>However, a simple, quick, variable-pitch rotor capability in electric VTOL aircraft could help achieve <a href=\"https:\/\/agileaircraft.com\/?page_id=49\" title=\"Motivation\">aircraft design objectives 1,2,3 &amp; 4 <\/a><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" id=\"Objective-1A\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:5%\">\n<h4 class=\"wp-block-heading alignfull\" id=\"Objective-1A\"><strong>1A<\/strong><\/h4>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-bottom is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>To achieve objective 1 &amp; 3, it helps to eliminate thrust response delay attributable to rotor inertia by using <a href=\"https:\/\/agileaircraft.com\/?page_id=145\" title=\"\">very quick variable-pitch rotors. <\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" id=\"Objective-2A\">\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:5%\">\n<h4 class=\"wp-block-heading alignfull\" id=\"Objective-2A\"> <strong>2A <\/strong><\/h4>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>To achieve objective 2,  it helps to  set a default negative blade-pitch on lift-rotors to allow autorotation in the event of motor power loss, so that, using sufficiently large rotors, the vehicle could then&nbsp;descend gently or at least glide slowly, without power. <\/p>\n<\/div>\n<\/div>\n\n\n\n<p>In helicopters, collective and cyclic pitch control is typically provided via a swash-plate with links to the rotor and connection to a control mechanism. But this is a critical and complex system that is inevitably expensive to manufacture and maintain to adequate safety standards.<\/p>\n\n\n\n<p>In winged aircraft propeller-propulsion systems, variable-pitch is often provided, in the propeller spinner using an actuator operated hydraulically, electrically, or mechanically by a&nbsp;controller that maintains a desired rotation rate. This collective-only pitch control is much simpler than the full cyclic control necessary in a helicopter.<\/p>\n\n\n\n<p>But such collective-only pitch controls are designed to achieve power-system efficiency rather than very quick pitch change, and are still an expensive level of complexity for a small drone, or even a bigger vehicle, if they have multiple lift-rotors.<\/p>\n\n\n\n<p>Simpler variable-pitch designs like [1 &#8211; 8] appear not to have been widely used to date. One reason is that simpler designs almost inevitably entail behaviour limitations. Therefore it is crucial that a simpler design be matched to the intended use-case.<br><br>The following designs are simple, requiring no mechanism outside the rotor blades and hub, but are intended to optimize performance over a wide range of advance-rates. The objectives 1,2,3,4&nbsp; are very different. Consequently, none of the following designs can provide very quick adjustment of lift at slow advance-ratios, such as when hovering, in order to compensate for buffeting of the vehicle by wind gusts:<\/p>\n\n\n\n<ol class=\"wp-block-list\" style=\"list-style-type:lower-alpha\">\n<li>Centrifugal-force actuated mechanisms like [6], [7] do not satisfy objective <strong><a href=\"#Objective-1A\">1A<\/a><\/strong>, since when hovering; an increase in rotation rate is needed to change collective pitch and increase thrust, which will therefore be delayed by <a href=\"https:\/\/agileaircraft.com\/?page_id=145\" title=\"Rotor Inertia\">rotational inertia of the rotor<\/a>.<br><\/li>\n\n\n\n<li>Aerodynamically tailored propellers like [1],[3],[7]&nbsp; have the same limitation as (a), although different elastic tailoring might allow a solution.<br><\/li>\n\n\n\n<li>The constant-torque design [2] is simple, but when in steady hover, suddenly applying more power will result in a sharp decrease in lift as the lift-rotor immediately sets it\u2019s blades to a finer pitch. Although this transient loss of lift will subsequently at least partially recover, recovery will be delayed by rotational inertia as the rotor accelerates to a new steady state. And data in [2] shows states where the final lift is less than the original. These behaviours are not what are needed to compensate for buffeting by wind-gusts, and do not satisfy objective <strong><a href=\"#Objective-1A\">1A<\/a><\/strong>.<br>&nbsp;<\/li>\n\n\n\n<li>The \u201cPassive Variable-Pitch Propeller\u201d [1] exploits the aerodynamic pitching moment of the blades to optimise efficiency over a wide range of advance-rates. This requires special blade aerofoils, which may not be optimal in other ways, and careful mass-balancing to allow the relatively small aerodynamic pitching moment to dominate.<br><br>This design does not satisfy objective <strong><a href=\"#Objective-1A\">1A<\/a><\/strong>, since the only way to increase lift at a fixed advance-rate, such as when hovering, is to force faster rotation. Although faster rotation should result in a coarser pitch, the consequent lift increase is nevertheless delayed by <a href=\"https:\/\/agileaircraft.com\/?page_id=145\" title=\"Rotor Inertia\">rotational inertia of the propeller<\/a>.<br><\/li>\n\n\n\n<li>The cyclic pitch control designs [4] and [5] are a clever use of torque-modulation to provide very simple means of control of vehicle attitude, as for a helicopter. But neither [4] nor [5] provide control of collective pitch, so neither satisfies objective <strong><a href=\"#Objective-1A\">1A<\/a><\/strong>: An increase in rotation rate is needed to increase thrust, which will therefore be delayed by <a href=\"https:\/\/agileaircraft.com\/?page_id=145\" title=\"Rotor Inertia\">rotational inertia of the rotor<\/a>. And neither design satisfies objective <strong><a href=\"#Objective-2A\">2A<\/a><\/strong>, since loss of power implies loss of control of the vehicle ([5], page 75).<\/li>\n<\/ol>\n\n\n\n<p><br>But the objectives  <strong><a href=\"#Objective-1A\">1A<\/a><\/strong>  and  <strong><a href=\"#Objective-2A\">2A<\/a><\/strong>  can be achieved  with a <a href=\"https:\/\/agileaircraft.com\/?page_id=168\" title=\"Novel Rotor Design\">novel, simple, and very quick lift-rotor collective pitch control<\/a>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">References<\/h4>\n\n\n\n<ul class=\"wp-block-list\" id=\"RotorDesignRefs\">\n<li>[1]   S Heinzen, C. Hall, A. Gopalarathnam (2015) Development and Testing of a Passive Variable-Pitch Propeller.&nbsp;&nbsp; Journal of Aircraft 52(3): 1-16<br><\/li>\n\n\n\n<li>[2]   C. Burger, R. Hartfield (2007) Design, Testing and Optimization of a Constant Torque Propeller. 25th AIAA Applied Aerodynamics Conference 25 &#8211; 28 Jun 2007, Miami, FL<br><\/li>\n\n\n\n<li>[3]   Dwyer,&nbsp;W.J.&nbsp;and&nbsp;Rogers,&nbsp;J.B.&nbsp;(1977) Aeroelastically tailored propellers. Society of Automotive Engineering Meeting, SAE Paper No 770455<br><\/li>\n\n\n\n<li>[4]   Y. Fujihira, R. Sasaki, M. Ando (1993 ) Propeller blade tip path plane inclining device. US patent&nbsp; 5259729 A<br><\/li>\n\n\n\n<li>[5]   J. Paulos (2017) Rotorcraft blade pitch control through torque modulation. Publicly Accessible Penn Dissertations. 2901. <a href=\"https:\/\/repository.upenn.edu\/edissertations\/2901\">https:\/\/repository.upenn.edu\/edissertations\/2901<\/a><br><\/li>\n\n\n\n<li>[6]   O. Morelock (1945) Automatic pitch change propeller. US patent 2547037<br><\/li>\n\n\n\n<li>[7]   H.Reissner, C.Manfried (1938) Variable pitch propeller for aircraft. US patent 2275053A<br><\/li>\n\n\n\n<li>[8]   B.Gemeny&nbsp; (1934) Automatic variable pitch propeller. US patent 2030953<br><br><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Background Variable pitch propellers and rotors are widely used in aircraft. In winged aircraft, variable pitch helps match propulsion to&nbsp;the requirements of each&nbsp;different stage&nbsp;of flight. In helicopters blade pitch&nbsp;is varied over each rotation cycle to provide both lift and flight control. Variable pitch propellers have been used in multi-rotor electric Vertical Take Off and Landing [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-128","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/agileaircraft.com\/index.php?rest_route=\/wp\/v2\/pages\/128","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agileaircraft.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/agileaircraft.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/agileaircraft.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agileaircraft.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=128"}],"version-history":[{"count":13,"href":"https:\/\/agileaircraft.com\/index.php?rest_route=\/wp\/v2\/pages\/128\/revisions"}],"predecessor-version":[{"id":474,"href":"https:\/\/agileaircraft.com\/index.php?rest_route=\/wp\/v2\/pages\/128\/revisions\/474"}],"wp:attachment":[{"href":"https:\/\/agileaircraft.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}