Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7180647 | Precision Engineering | 2016 | 10 Pages |
Abstract
This paper presents a new analytical method for predicting the large displacement behavior of flexural double parallelogram (DP) bearings with underconstraint eliminator (UE) linkages. This closed-form perturbative Euler analysis method is able to - for the first time - directly incorporate the elastomechanics of a discrete UE linkage, which is a hybrid flexure element that is linked to ground as well as both stages on the bearing. The models are used to understand a nested linkage UE design, however the method is extensible to other UE linkages. Design rules and figures-of-merit are extracted from the analysis models, which provide powerful tools for accelerating the design process. The models, rules and figures-of-merit enable the rapid design of a UE for a desired large displacement behavior, as well as providing a means for determining the limits of UE and DP structures. This will aid in the adoption of UE linkages into DP bearings for precision mechanisms. Models are generated for a nested linkage UE design, and the performance of this DP with UE structure is compared to a DP-only bearing. The perturbative Euler analysis is shown to match existing theories for DP-only bearings with distributed compliance within â2%, and Finite Element Analysis for the DP with UE bearings within an average 10%.
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Physical Sciences and Engineering
Engineering
Industrial and Manufacturing Engineering
Authors
Robert M. Panas,