Generating the swept area of a body undergoing planar motion

Zhi Kui Ling, Thomas R. Chase

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


The swept area of a two dimensional object undergoing motion in its plane of definition is the union of the area occupied by the object at all positions during the motion. A methodology for determining a close approximation to an exact swept area for a known arbitrary motion is developed here. The methodology has use for preventing interference between links of a planar mechanism during synthesis. Criteria for determining individual points falling on the border of the swept area from the body during any instant of the motion are derived from envelope theory. Points on the swept area boundary are determined at the initial position of the sweeping body for computational efficiency. The swept area is constructed from these points plus sections of the border of the moving body at select positions. Overlap of the swept area onto itself is handled by splitting the overall swept area into a small number of individual swept areas free of overlap. An eleven-step swept area algorithm is clarified with an example.

Original languageEnglish (US)
Title of host publicationFinite Elements/Computational Geometry; Computers in Education; Robotics and Controls
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages10
ISBN (Electronic)9780791806234, 9780791897768
StatePublished - 1991
Externally publishedYes
EventASME 1991 Design Technical Conferences, DETC 1991 - Miami, United States
Duration: Sep 22 1991Sep 25 1991

Publication series

NameProceedings of the ASME Design Engineering Technical Conference


ConferenceASME 1991 Design Technical Conferences, DETC 1991
Country/TerritoryUnited States

Bibliographical note

Publisher Copyright:
© 1991 American Society of Mechanical Engineers (ASME). All rights reserved.


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