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

Advanced Search   Mechanism Search

PEAUCELLIER-LIPKIN CIRCLE INVERSION MECHANISM

Click to enlargeClick to enlarge Description

The lengths of the links comply with the conditions: C͞E=E͞F=F͞D=D͞C=a, B͞E=B͞D=b and A͞C>A͞B. The mechanism always satisfies the inversion condition BC×BF=a²-b²=k², where k is the inversion constant. When crank 1 turns about fixed axis A, point F describes circle d which is the inversion of the circle described by point C. Centre 0 of circle d lies on the straight line passing through points A and B. Distances BA and BO are related by the condition B͞O=B͞A(k²/(A͞C²-B͞A²)). Radius O͞F of circle d equals O͞F=A͞C(B͞O/B͞A). For the specified link length relationships, point F describes a complete circle for one complete revolution of crank 1 about axis A.
$705$LW,GI$

Linked items
Mechanisms: Peaucellier-Lipkin circle inversion mechanism
Documents: Lever mechanisms  [Streambook]
Permanent links
DMG-Lib FaviconDMG-Lib https://www.dmg-lib.org/dmglib/handler?image=16497023
Europeana FaviconEuropeana  http://www.europeana.eu/portal/record/2020801/dmglib_handler_image_16497023.html
Data provider
ITUIlmenau TU  http://www.tu-ilmenau.de
nach oben up
×