Pregled bibliografske jedinice broj: 293581
Energy/momentum conserving time integration procedure with finite elements and large rotations
Energy/momentum conserving time integration procedure with finite elements and large rotations // Proceedings of the NATO Advanced Research Workshop "Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion" / Ambrosio, J.A.C. ; Kleiber, M. (ur.).
Pułtusk: IDMEC, Lisbon, 2000. str. 181-200 (pozvano predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
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Naslov
Energy/momentum conserving time integration procedure with finite elements and large rotations
Autori
Crisfield, M.A. ; Jelenić, Gordan
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Proceedings of the NATO Advanced Research Workshop "Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion"
/ Ambrosio, J.A.C. ; Kleiber, M. - Pułtusk : IDMEC, Lisbon, 2000, 181-200
Skup
NATO Advanced Research Workshop "Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion"
Mjesto i datum
Pułtusk, Poljska, 02.07.2000. - 07.07.2000
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
conserving integration; finite elements; large rotations
Sažetak
The present paper is concerned with implicit techniques for dynamic non-linear finite element analysis. Work over the last few years has highlighted the fact that the Newmark trapezoidal rule is not unconditionally stable for non-linear systems and that the HHT method is not always guaranteed to provide 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 and symplectic nature of the system. The present paper will describe some of this work, with the emphasis being placed on the energy and the momenta. It is worth noting that we are here concerned with systems for which the strain energy plays a vital role. In these circumstances, it does not follow that the methods developed for rigid-body dynamics will provide the solution. Throughout the paper, emphasis will be placed on various forms of mid-point algorithm and the problems analysed will all involve large rotations. 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
POVEZANOST RADA
