Hoberman's sphere, Euler parameters and Lagrange's equations
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Publication:1578531
DOI10.1023/A:1007624027030zbMath0962.74005OpenAlexW116265298MaRDI QIDQ1578531
Peter C. Varadi, Oliver M. O'Reilly
Publication date: 14 June 2001
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1007624027030
Euler parametersrotation tensorLagrange's equationspseudo-rigid bodyCosserat pointHoberman's spherehomogeneous deformation of continuumrotational dynamics of rigid body
Kinematics of deformation (74A05) Dynamics of a rigid body and of multibody systems (70E99) Lagrange's equations (70H03)
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On geodesics of the rotation group \(\mathrm{SO}(3)\) ⋮ Rigid body dynamics with a scalable body, quaternions and perfect constraints ⋮ Lagrangian mechanics of overparameterized systems ⋮ On the use of quaternions and Euler-Rodrigues symmetric parameters with moments and moment potentials ⋮ Rigid body dynamics in terms of quaternions: Hamiltonian formulation and conserving numerical integration ⋮ The numerical influence of additional parameters of inertia representations for quaternion-based rigid body dynamics
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