scholarly journals Generalized Center Problems with Outliers

2019 ◽  
Vol 15 (3) ◽  
pp. 1-14 ◽  
Author(s):  
Deeparnab Chakrabarty ◽  
Maryam Negahbani
Keyword(s):  
Author(s):  
Harvey Lipkin ◽  
Timothy Patterson

Abstract The elastic characteristics of many robot systems can be modeled by a 6 × 6 stiffness or compliance matrix. Several new and important results are presented via screw theory: i) A generalized center-of-elasticity is proposed based on Ball’s (1900) principal screws and its properties are investigated, ii) If a compliant axis exists, it is shown to pass through the center. iii) The perpendicular vectors from the center to the wrench-compliant axes are coplanar and sum to zero. A similar result holds for the twist-compliant axes, iv) Linear and rotational properties are characterized by dual ellipsoids in three-dimensional space. These elements simplify the understanding of complex elastic properties.


2015 ◽  
Vol 14 (1) ◽  
pp. 11-23 ◽  
Author(s):  
Guangfeng Dong ◽  
Changjian Liu ◽  
Jiazhong Yang

2001 ◽  
Vol 25 (2) ◽  
pp. 313-320
Author(s):  
George Szeto ◽  
Lianyong Xue

Sign in / Sign up

Export Citation Format

Share Document