This paper reviews the Euler–Rodrigues formula in the axis–angle representation of
rotations, studies its variations and derivations in different mathematical forms as vectors …

Background Kinematic design is a predominant phase in the design of robotic manipulators
for minimally invasive surgery (MIS). However, an extensive overview of the kinematic …

The rapid kinetics of biological processes and associated short-lived conformational
changes pose a significant challenge in attempts to structurally visualize biomolecules …

This paper aims to integrate didactically some engineering concepts to understand and
teach the screw-based methods applied to the kinematic modeling of robot manipulators …

It has been a desire to unify the models for structural and parametric analyses and design in
the field of robotic mechanisms. This requires a mathematical tool that enables analytical …

This paper for the first time presents a finite screw approach to type synthesis of three-
degree-of-freedom (DOF) translational parallel mechanisms (TPMs). Firstly, the finite …

This paper examines the variations and derivations of the dual Euler-Rodrigues formula
from various mathematical forms, including the matrix in 6× 6, the dual matrix, Lie group SE …

This paper discusses cyclic deformation and fatigue behaviors of stainless steel 304L and
aluminum 7075-T6. Effects of loading sequence, mean strain or stress, and prestraining …

Rigid body displacement can be presented with Chasles' motion by rotating about an axis
and translating along the axis. This motion can be implemented by a finite displacement …

Finite motion analysis and type synthesis of parallel mechanisms with parasitic motions are
great challenges in the fields of mechanisms and robotics. This paper proposes a finite …