[HTML][HTML] The dual Euler-Rodrigues formula in various mathematical forms and their intrinsic relations

K Wang, JS Dai - Mechanism and Machine Theory, 2023 - Elsevier
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 …

Approaches for minimizing joints in single-degree-of-freedom origami-based mechanisms

NC Brown, C Ynchausti, A Lytle… - Journal of …, 2022 - asmedigitalcollection.asme.org
Origami patterns have been used in the design of deployable arrays. In engineering
applications, paper creases are often replaced with surrogate folds by providing a hinge-like …

A repelling-screw-based approach for the construction of generalized Jacobian matrices for nonredundant parallel manipulators

K Wang, H Dong, E Spyrakos-Papastavridis… - … and Machine Theory, 2022 - Elsevier
This paper presents a unified and generalized approach for the construction of Jacobian
matrices for general, nonredundant parallel manipulators that possess serial and/or mixed …

Grasp compliance achieved with a planar hand composed of multiple 3-joint fingers

S Huang, JM Schimmels - Robotica, 2023 - cambridge.org
In this paper, the realization of any specified planar Cartesian compliance for an object
grasped by a compliant hand is addressed. The hands considered have 2 or more fingers …

Reaction Force Analysis and Validation of a Rigid Origami-Inspired Modified Wren Parallel Mechanism With Flexure Hinges

Z Jiang, K Zhang - International Design Engineering …, 2023 - asmedigitalcollection.asme.org
Adopting a screw algebra-based approach, this paper analyzes the stiffness of flexure
hinges and the resultant reaction force (RRF) of a rigid origami-inspired modified Wren …

Requirements on the Spatial Distribution of Elastic Components Used in Compliance Realization

S Huang, JM Schimmels - IEEE Robotics and Automation …, 2022 - ieeexplore.ieee.org
In this letter, necessary conditions on the locations and orientations of elastic components in
a compliant mechanism used to realize any given spatial compliance are identified. The …