Naslov
Energy/momentum conserving time integration procedures with finite elements and large rotations

Autori
Crisfield, M.A. ; Jelenić, Gordan

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion

Urednik/ci
Ambrosio, J. A. C. ; Kleiber, M.

Izdavač
IOS Press

Grad
Amsterdam

Godina
2001

Raspon stranica
121-140

ISBN
1586031600

Ključne riječi
conserving integration, finite elements, large rotations

Sažetak
Probably the most popular implicit techniques for dynamic non-linear finite element analysis are the Newmark trapezoidal rule and the HHT-$\alpha$ procedure which provides numerical damping. The Newmark trapezoidal rule, however, is not unconditionally stable for non-linear systems and that the HHT method is not always guaranteed to provide dissipation. As a consequence, much work has been devoted to the search for methods that are stable in the absence of dissipation. Much of the search for stable algorithms has been directed towards the preservation of key properties such as the energy, translational and angular momenta. It is worth noting that we are here concerned with systems for which the strain energy plays a vital role. Consequently, it does not follow that the methods developed for rigid-body dynamics will provide the solution. The paper will start by considering solids and will then move on to beams and, finally, to flexible rotating systems including joints. For solids, the variables will be the translations while, for the work on beams and flexible systems, the variables will include rotations. The latter will be treated via a multiplication of associated triads, although the stored quantities may be quaternions. For the joints, a non-linear master--slave approach will be adopted. The procedure has been specially modified so that it preserves the energy and momenta of the system.

Izvorni jezik
Engleski

Znanstvena područja
Temeljne tehničke znanosti

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