On Generalized Dual Euler Angles
نویسنده
چکیده
This paper first explores the generalization of Euler angles to the case in which the rotation axes are not necessarily members of an orthonormal triad, and presents a concise solution to their computation that relies on the calculation of standard Euler angles. Then, this generalization is taken one step further by introducing translations, that is, by defining generalized Euler angles about screw axes using a variation of the principle of transference that avoids the use of dual numbers. As an example, the obtained formulation is applied to solve the inverse kinematics of a 3C manipulator.
منابع مشابه
Use of dual Euler angles to quantify the three-dimensional joint motion and its application to the ankle joint complex.
This paper presents a modified Euler angles method, dual Euler angles approach, to describe general spatial human joint motions. In dual Euler angles approach, the three-dimensional joint motion is considered as three successive screw motions with respect to the axes of the moving segment coordinate system; accordingly, the screw motion displacements are represented by dual Euler angles. The al...
متن کاملAnalysis of passive motion characteristics of the ankle joint complex using dual Euler angle parameters.
OBJECTIVE To apply the dual Euler angles method to investigate the passive motion characteristics of the human ankle joint complex. DESIGN Three-dimensional kinematic data of the ankle joint complex was collected from 10 knee-below foot cadaver specimens. BACKGROUND Besides the Euler angles and screw axis methods, the dual Euler angles method has been proposed as an alternative approach to ...
متن کاملExpressing Crystallographic Textures through the Orientation Distribution Function: Conversion between the Generalized Spherical Harmonic and Hyperspherical Citation
In the analysis of crystallographic texture, the orientation distribution function of the grains is generally expressed as a linear combination of the generalized spherical harmonics. Recently, an alternative expansion of the orientation distribution function—as a linear combination of the hyperspherical harmonics—has been proposed, with the advantage that this is a function of the angles that ...
متن کاملApproximation of a generalized Euler-Lagrange type additive mapping on Lie $C^{ast}$-algebras
Using fixed point method, we prove some new stability results for Lie $(alpha,beta,gamma)$-derivations and Lie $C^{ast}$-algebra homomorphisms on Lie $C^{ast}$-algebras associated with the Euler-Lagrange type additive functional equation begin{align*} sum^{n}_{j=1}f{bigg(-r_{j}x_{j}+sum_{1leq i leq n, ineq j}r_{i}x_{i}bigg)}+2sum^{n}_{i=1}r_{i}f(x_{i})=nf{bigg(sum^{n}_{i=1}r_{i}x_{i}bigg)} end{...
متن کاملThe Euler system of generalized Heegner cycles
In this thesis, we study the Selmer group of the p-adic étale realization of certain motives using Kolyvagin’s method of Euler systems [34]. In Chapter 3, we use an Euler system of Heegner cycles to bound the Selmer group associated to a modular form of higher even weight twisted by a ring class character. This is an extension of Nekovář’s result [39] that uses Bertolini and Darmon’s refinement...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014