A robust composite time integration scheme for snap-through problems

doi:10.1007/s00466-015-1152-3

A robust composite time integration scheme for snap-through problems

2015-04-11

48

OA

AI

Ilinca Stanciulescu *

T

Thomas Eason

DOI：10.1007/s00466-015-1152-3

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A robust time integration scheme for snap-through buckling of shallow arches is proposed. The algorithm is a composite method that consists of three sub-steps. Numerical damping is introduced to the system by employing an algorithm similar to the backward differentiation formulas method in the last sub-step. Optimal algorithmic parameters are established based on stability criteria and minimization of numerical damping. The proposed method is accurate, numerically stable, and efficient as demonstrated through several examples involving loss of stability, large deformation, large displacements and large rotations.

Keyword:

Time integration

Nonlinear dynamics

Snap-through

Backward differentiation formula

A robust composite time integration scheme for snap-through problems

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