Improved Stability of a Node-to-node Algorithm in the Explicit Method

Improved Stability of a Node-to-node Algorithm in the Explicit Method

Stať ve sborníku v databázi WoS či Scopus

Improved stability of the node-to-node (NTN) algorithm gained by modification of the algorithm with regard to the explicit method is presented in this paper in order to enable fast and precise analysis of models containing NTN contacts in structural dynamics using Finite Element Method. The key issue is to fulfil contact conditions and prevent solution instability. The instability can be observed if the time step exceeds the critical time step, which is directly derived from the element stiffness and tends towards zero as connected nodes get closer to each other [1]. This is the main problem of NTN contacts in the explicit method.

Improved stability of the node-to-node (NTN) algorithm gained by modification of the algorithm with regard to the explicit method is presented in this paper in order to enable fast and precise analysis of models containing NTN contacts in structural dynamics using Finite Element Method. The key issue is to fulfil contact conditions and prevent solution instability. The instability can be observed if the time step exceeds the critical time step, which is directly derived from the element stiffness and tends towards zero as connected nodes get closer to each other [1]. This is the main problem of NTN contacts in the explicit method.

explicit method, stability, node-to-node contact

explicit method, stability, node-to-node contact

ŠTEKBAUER, H.; NĚMEC, I.

2023

24.07.2019

American Institute of Physics Inc.

Melville (USA)

978-0-7354-1854-7

ICNAAM 2018 Proceedings, AIP Conference Proceedings

AIP Conference Proceedings Vol. 2116

0094-243X

AIP conference proceedings

2116

1

Spojené státy americké

310015-1

310015-4

4

https://aip.scitation.org/doi/abs/10.1063/1.5114322