to DMG-Lib main page
Home  · Site map  · Contact  ·

Advanced Search   Mechanism Search

ARTOBOLEVSKY LINK-GEAR MECHANISM FOR TRACING CONCHOIDS OF SULZE

Click to enlargeClick to enlarge Description

Slider 1 moves along fixed guides p-p and is connected by turning pair A to link 3. Cross-piece f-f of link 3 moves in sliders 4 and 7. Slider 4 turns about fixed axis 0 and is connected by a turning pair to slider 5 which also turns about axis 0. Link 2 has the form of a bent lever with angle dBb equal to 90° and is connected by turning pair B to link 3. Arm Bb of link 2 moves in slider 6 and arm Bd in slider 5. Sliders 6 and 7 are connected together by turning pair D . When slider 1 moves along guides p-p, point D of slider 7 describes the right branch s-s of a conchoid of Sluze. Point D', located on cross-piece f-f of link 3 at the distance A͞D'=A͞D, describes the left branch s'-s' of the conchoid. To trace conchoid s'-s' it is necessary to rearrange the mechanism or to add links that maintain the equality of distances A͞D' and A͞D. The equation of the conchoid of Sluze is ρD=0͞D=( a/cos(ϕ))+(k²/a)cos(ϕ) or a(x²+y²)(x-a)=±k²x² where ϕ = polar angle between vector ρD and polar axis 0x, k=A͞B. The plus sign corresponds o branch s-s and the minus sign to branch s'-s'.
$1181$LG,Ge$

Linked items
Documents: Lever mechanisms  [Streambook]
Permanent links
DMG-Lib FaviconDMG-Lib https://www.dmg-lib.org/dmglib/handler?image=16910023
Europeana FaviconEuropeana  http://www.europeana.eu/portal/record/2020801/dmglib_handler_image_16910023.html
Data provider
ITUIlmenau TU  http://www.tu-ilmenau.de
nach oben up
×