Graphic analysis of the linear and angular momentum of a dynamically balanced 1-dof pantographic linkage

Graphic analysis of the linear and angular momentum of a dynamically balanced 1-dof pantographic linkage

van der Wijk, V. (TU Delft Mechatronic Systems Design)

Pisla, D. (editor)

2020

This article presents a graphical analysis method for the verification of the gravity force balance and shaking force and shaking moment balance of a 1-DoF pantographic linkage. First the joint velocities of the linkage are graphically found of which the procedure is well known. To obtain the linear and angular momentum graphically, the mass and inertia of each element are modeled with two equivalent masses about the center of mass of the element, resulting in a mass and inertia equivalent model with solely point masses. The velocities of these point masses are obtained and each velocity vector is multiplied with the respective mass value to obtain vectors that represent the linear momentum. For force balance it is shown that the sum of all linear momentum vectors form a polygon. Subsequently the linear momentum vectors with their moment arms are transferred into an angular momentum diagram which for moment balance shows to sum up to zero.

Graphic analysis
Gravity force balance
Linear and angular momentum
Pantograph
Shaking force and shaking moment balance

http://resolver.tudelft.nl/uuid:515481aa-5b31-471d-ad66-44d439f22253

https://doi.org/10.1007/978-3-030-55061-5_38

Springer, Cham, Switzerland

2021-08-21

978-3-030-55060-8

New Trends in Mechanismsand Machine Science: EuCoMeS: European Conference on Mechanism Science

Mechanisms and Machine Science, 2211-0984, 89

Accepted Author Manuscript

Institutional Repository

conference paper

© 2020 V. van der Wijk