Shaking force balance of the Peaucellier-Lipkin straight-line linkage

Volkert van der Wijk*

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review


This paper shows three different approaches for the shaking force balancing of the Peaucellier-Lipkin straight-line linkage. First the common approach to balance a linkage by modeling one link in each closed loop with two equivalent masses and subsequently adding countermasses is shown, requiring five countermasses in total. With the second approach the parallelogram in the Peaucellier-Lipkin straight-line linkage is considered a balanced pantograph with which three countermasses are required in total. The third approach consists of considering the parallelogram a mass-equivalent linkage for which the results only require two countermasses. It is also shown how with the second approach shaking force balance in a single direction is obtained by balancing the linkage about the joint tracing the straight line with only two counter-masses. All solutions are also statically balanced.

Original languageEnglish
Title of host publicationInterdisciplinary Applications of Kinematics
Subtitle of host publicationProceedings of the Third International Conference (IAK)
EditorsAndrés Kecskeméthy, Francisco Geu Flores, Eliodoro Carrera, Dante A. Elias
Place of PublicationCham, Switzerland
ISBN (Electronic)978-3-030-16423-2
ISBN (Print)978-3-030-16422-5
Publication statusPublished - 2019
EventIAK 2018: 3rd Conference on Interdisciplinary Applications of Kinematics - Lima, Peru
Duration: 5 Jul 20187 Jul 2018

Publication series

NameMechanisms and Machine Science
ISSN (Print)2211-0984
ISSN (Electronic)2211-0992


ConferenceIAK 2018: 3rd Conference on Interdisciplinary Applications of Kinematics


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