Hyper Dual Quaternions representation of rigid bodies kinematics
Sign Up to like & getrecommendations! Published in 2020 at "Mechanism and Machine Theory"
DOI: 10.1016/j.mechmachtheory.2020.103861
Abstract: Abstract Hyper-Dual Quaternions, HDQ, are first introduced in this paper. Utilizing the Hyper-Dual Numbers, HDN, Dual Quaternions, DQ, and hyper-dual angle, the general expression of HDQ is obtained. Rigid single- and multi-body kinematics such as… read more here.
Keywords: quaternions representation; rigid bodies; representation rigid; kinematics ... See more keywords
Dual Quaternions Representation of Lagrange's dynamic equations
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Mechanisms and Robotics"
DOI: 10.1115/1.4062463
Abstract: Abstract' This paper introduces for the first time, the Lagrange's dynamic equations in dual number quaternion form. Additionally, Rayleigh's dissipation function in dual quaternion form is introduced here allowing for the accounting of dissipative (non-conservative)… read more here.
Keywords: dual quaternions; equations dual; representation lagrange; dynamic equations ... See more keywords