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Force balance of a spatial metamorphic 6R closed-chain linkage with specific kinematic conditions

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

Volkert Van Der Wijk, Ketao Zhang, Jian S. Dai

Original languageEnglish
Title of host publication40th Mechanisms and Robotics Conference
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages8
Volume5B-2016
ISBN (Print)9780791850169
DOIs
Publication statusPublished - Aug 2016
EventASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2016 - Charlotte, United States
Duration: 21 Aug 201624 Aug 2016

Conference

ConferenceASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2016
CountryUnited States
CityCharlotte
Period21/08/201624/08/2016

King's Authors

Abstract

For deployable, reconfigurable, and metamorphic linkages force balance is an important property to bear the static and dy- namic forces caused by the mass of each element, either due to gravity or due to inertia when moving. Force balance refers to 'shaking force balance' meaning that for all motion of the link- age, no dynamic reaction forces are exerted to its base and to the surroundings preventing base vibrations. This typically is an important feature in high-speed and high-precision robotic ma- nipulation tasks. Force balance also refers to 'static balancing with solely mass'. Since the center of mass of a force balanced linkage is stationary for all motion, a force balanced linkage is also statically balanced which means that the linkage is not affected by gravity and remains stationary in any pose without the need of actuators or brakes. This property is important for the design of, among others, large moving structures such as mobile platforms and deployable structures used in architecture. In this paper the force balance of a spatial metamorphic plano-spherical 6R closed linkage with plane symmetry is investigated. It is shown that because of its specific kinematic conditions - being pantograph relations in the projected plane - advantageous balance solutions can be found for each of the four reconfiguration modes. For specific geometric conditions on the link design also solutions are found where the links balance one another without the need of any countermass. It is also shown how an advantageous compromise force balance solution for multiple modes is found. For this purpose an approximate force balance solution was investigated. The results are tions.

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