Asimetrik üç serbestlik dereceli bir düzlemsel paralel robot mekanizmasının kinematik analizi

Yıl 2018, Cilt: 22 Sayı: 1, 75 - 84, 01.02.2018

Metin Toz

https://doi.org/10.16984/saufenbilder.296446

Öz

Bu çalışmada üç Serbestlik Derecesine (SD)
sahip bir düzlemsel paralel robot mekanizmasının kinematik analizi
gerçekleştirilmiştir. Seçilen mekanizmanın diğer düzlemsel mekanizmalardan
farkı asimetrik bacak yapısına sahip olmasıdır. Asimetrik yapıyı elde etmek
için 3-RPR (R:Dönel eklem, P: Aktif prizmatik eklem) yapısındaki
simetrik bir düzlemsel robot mekanizmasının bir bacağı RRR (R:
Aktif dönel eklem) tipi bacak ile değiştirilmiş ve bu sayede RPR2RRR1
adını verdiğimiz asimetrik düzlemsel paralel robot mekanizması elde edilmiştir.
Bu mekanizma için ters kinematik, Jacobian matrisi ve tekil noktalardan
bağımsız çalışma uzayı analizi ile ilgili hesaplamalar gerçekleştirilmiştir.
Ayrıca bu mekanizmanın performansı simetrik düzlemsel bir paralel robot
mekanizması olan 3-RPR mekanizması ile karşılaştırılmıştır. Elde edilen
sonuçlara göre önerilen mekanizmanın çalışma uzayının hem uç işlevci tarafından
ulaşılabilinen nokta sayısı hem de yönelim açısının sınır değerleri yönünden
3-RPR mekanizmasından daha iyi olduğu gösterilmiştir.

Anahtar Kelimeler

Düzlemsel paralel robot mekanizmaları, 3 DOF, kinematik analiz, Çalışma uzayı analizi

Kinematic analysis of a 3-DOF asymmetrical planar parallel robot mechanism

Öz

In this study, kinematic analysis of a planar
parallel robot mechanism with three degrees of freedom (DOF) was performed. The
difference of the selected mechanism from the other planar mechanisms is that
it has an asymmetric leg structure. In order to provide the asymmetry, a leg of
3-RPR (R: Revolute joint, P: Active prismatic joint) symmetrical
planar robot mechanism was replaced by a RRR (R: Active revolute joint)
type leg and the asymmetrical planar parallel robot named RPR2RRR1
mechanism has been obtained. Inverse kinematics, Jacobian matrix and
singularity free workspace analysis were performed for the proposed mechanism.
In addition, the performance of this mechanism is compared with the 3-RPR
mechanism, which is a symmetric planar parallel robot mechanism. According to
the obtained results, it has been shown that the workspace of the proposed
mechanism is better than the 3-RPR mechanism in terms of both the number
of points that can be reached by the end-effector and the limit values of the
orientation angle.

Anahtar Kelimeler

planar parallel robot mechanisms, 3 DOF, kinematic analysis, workspace analysis

Kaynakça

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