"MKcircles": An interactive computer graphics design tool to solve the generalized three-precision-position synthesis problem

Pi Ming Cheng, Raed N. Rizq, Arthur G. Erdman

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

Abstract

A new interactive computer graphics program (MKCIRCLES) has been developed to solve the following three-precision-position dyad synthesis tasks: (i) motion generation, (ii) path generation with prescribed timing and (iii) a new solution strategy for (a) motion generation for a user-specified range of the prescribed-timing angular displacements, and (b) path generation with prescribed timing for a user-specified range of the rotations of the floating link. The latter two cases address a problem that is encountered in linkage design; namely, the need to specify limits that certain variables may range through as opposed to specifying fixed values that constrain the design unnecessarily, thus increasing the total number of designs from which to choose. As a result of this new approach, two planar regions, representing all permissible dyad ground-pivot locations and all permissible dyad moving-pivot locations, are identified and plotted. The program uses the properties of the circle-point circles (K1-circles) and the center-point circles (M-circles) throughout the synthesis procedure. MKCIRCLES also allows the designer to define a region in which the ground-pivots are constrained to lie and determine the corresponding moving-pivot region (and vice versa). The program is shown to be a useful design tool and provides greater geometric and kinematic insight into the general three-precision-position synthesis problem.

Original languageEnglish (US)
Title of host publication23rd Biennial Mechanisms Conference
Subtitle of host publicationMechanism Synthesis and Analysis
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages273-279
Number of pages7
ISBN (Electronic)9780791812846
DOIs
StatePublished - 1994
EventASME 1994 Design Technical Conferences, DETC 1994, collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium - Minneapolis, United States
Duration: Sep 11 1994Sep 14 1994

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
VolumePart F167892-2

Conference

ConferenceASME 1994 Design Technical Conferences, DETC 1994, collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium
CountryUnited States
CityMinneapolis
Period9/11/949/14/94

Bibliographical note

Funding Information:
A. G. Erdman would like to acknowledge the support of NSF (Grant No. MSS-9012456) which helped motivate this work.

Publisher Copyright:
© 1994 American Society of Mechanical Engineers (ASME). All rights reserved.

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