A robust composite time integration scheme for snap-through problems

作者：Chandra Yenny; Zhou Yang; Stanciulescu Ilinca^*; Eason Thomas; Spottswood Stephen

来源：Computational Mechanics, 2015, 55(5): 1041-1056.

DOI：10.1007/s00466-015-1152-3

• Time integration
• Nonlinear dynamics
• Snap-through
• Backward differentiation formula

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.

• 出版日期2015-5