Non-linear dynamics of flexible shell structures

  • Jacek Chróścielewski Technical University of Gdańsk
  • Jerzy Makowski Ruhr University of Bochum
  • Wojciech Pietraszkiewicz Institute of Fluid-Flow Machinery, Polish Academy of Sciences

Abstract

The initial-boundary value problem in the weak form is formulated for the general six-field non-linear theory of branched shell structures. The extended time-stepping algorithm of the Newmark type is worked out for the non-linear dynamic analysis on the configuration space containing the rotation group SO(3) . Within the finite element approximation, an accurate indirect C0 interpolation procedure on SO(3) with a transport of approximation domain is developed. Numerical simulations by the finite element method of 2D and 3D large overall motions of several flexible elastic shell structures are presented. It is shown that values of potential and kinetic energies may oscillate in time, but the total energy remains conserved during the free motion of the structures in space.

Keywords

References

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[3] J. Chróścielewski. The family of CO finite elements in the non-linear six-parameter shell theory (in Polish) . Zeszyty Naukowe Politechniki Gdańskiej, No 540, Budownictwo Lądowe, LIII: 1- 291 , Gdańsk, 1996.
[4] J. Chróścielewski, J. Makowski, W.M. Smoleński. On the interpolation in the SO(3) group. In: Proc. XI Polish Conf. on Computer Methods in Mechanics, Vol. I: 187- 194, Kielce, 1993.
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Published
Feb 21, 2023
How to Cite
CHRÓŚCIELEWSKI, Jacek; MAKOWSKI, Jerzy; PIETRASZKIEWICZ, Wojciech. Non-linear dynamics of flexible shell structures. Computer Assisted Methods in Engineering and Science, [S.l.], v. 9, n. 3, p. 341-357, feb. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1122>. Date accessed: 21 nov. 2024.
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Articles