Stiffness Analysis and Optimization for a Compliant-Parallel Mechanism

Author(s):  
Hiroaki KOZUKA ◽  
Masaki MURAHAMA ◽  
Tetsuo YAMAMICHI ◽  
Takato SASAKI ◽  
Hiroshi TACHIYA
Author(s):  
Antonio Ruiz ◽  
Francisco Campa Gomez ◽  
Constantino Roldan-Paraponiaris ◽  
Oscar Altuzarra

The present work deals with the development of a hybrid manipulator of 5 degrees of freedom for milling moulds for microlenses. The manipulator is based on a XY stage under a 3PRS compliant parallel mechanism. The mechanism takes advantage of the compliant joints to achieve higher repetitiveness, smoother motion and a higher bandwidth, due to the high precision demanded from the process, under 0.1 micrometers. This work is focused on the kinematics of the compliant stage of the hybrid manipulator. First, an analysis of the workspace required for the milling of a single mould has been performed, calculating the displacements required in X, Y, Z axis as well as two relative rotations between the tool and the workpiece from a programmed toolpath. Then, the 3PRS compliant parallel mechanism has been designed using FEM with the objective of being stiff enough to support the cutting forces from the micromilling, but flexible enough in the revolution and spherical compliant joints to provide the displacements needed. Finally, a prototype of the 3PRS compliant mechanism has been built, implementing a motion controller to perform translations in Z direction and two rotations. The resulting displacements in the end effector and the actuated joints have been measured and compared with the FEM calculations and with the rigid body kinematics of the 3PRS.


2014 ◽  
Vol 592-594 ◽  
pp. 2303-2307
Author(s):  
M. Ganesh ◽  
R. Karthikeyan ◽  
Anjan Kumar Dash ◽  
M. Vikramadityan ◽  
R. Gopalachary

This paper presents a new design of a 3-RRR planar manipulator with non-planar legs. In contrast to the conventional 3-RRR planar parallel mechanism, the links are not planar. They are elevated above the X-Y plane and non planar legs are constructed. The kinematics of this model is realized on a common projected plane and traced back to its elevated position. The moment of inertia for the inclined links is computed. A stiffness model is established for the proposed design of 3-RRR manipulator and compared with a conventional 3-RRR planar manipulator. The analysis shows how the proposed design has better stiffness along all the three directions of motion.


Procedia CIRP ◽  
2013 ◽  
Vol 5 ◽  
pp. 175-178 ◽  
Author(s):  
Hiroaki Kozuka ◽  
Jumpei Arata ◽  
Kenji Okuda ◽  
Akinori Onaga ◽  
Motoshi Ohno ◽  
...  

Author(s):  
Huy-Tuan Pham ◽  
Van-Khien Nguyen ◽  
Khac-Huy Nguyen ◽  
Quang-Khoa Dang ◽  
Trung-Kien Hoang ◽  
...  

2012 ◽  
Vol 13 (9) ◽  
pp. 1625-1632 ◽  
Author(s):  
Kee-Bong Choi ◽  
Jae Jong Lee ◽  
Gee Hong Kim ◽  
Hyung Jun Lim

2009 ◽  
Vol 1 (2) ◽  
Author(s):  
Cyril Quennouelle ◽  
Clément Gosselin

In this paper, the mobility, the kinematic constraints, the pose of the end-effector, and the static constraints that lead to the kinematostatic model of a compliant parallel mechanism are introduced. A formulation is then provided for its instantaneous variation—the quasi-static model. This new model allows the calculation of the variation in the pose as a linear function of the motion of the actuators and the variation in the external loads through two new matrices: the compliant Jacobian matrix and the Cartesian compliance matrix that give a simple and meaningful formulation of the model of the mechanism. Finally, a simple application to a planar four-bar mechanism is presented to illustrate the use of this model and the new possibilities that it opens, notably the study of the kinematics for any range of applied load.


2009 ◽  
Vol 16-19 ◽  
pp. 786-790 ◽  
Author(s):  
Shu Jun Li ◽  
Clément Gosselin

The analytical stiffness equations of the 3-RPR planar parallel mechanism are derived in this paper based on the Conservative Congruence Transformation (CCT) stiffness matrix proposed in [1-3]. Stiffness maps of the 3-RPR mechanism are plotted in order to show the behaviour of the stiffness with and without external forces. The stiffness characteristics of the mechanism are analyzed and discussed in details. Numerical examples show that the stiffness in x and in y are well balanced, while the stiffness in tends to be lower.


Micromachines ◽  
2016 ◽  
Vol 7 (2) ◽  
pp. 23 ◽  
Author(s):  
Haiyang Li ◽  
Guangbo Hao ◽  
Richard Kavanagh

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