Finite strain topology optimization with nonlinear stability constraints

This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel strategy suppressing spurious modes related to low-density elements is proposed. The depends on constructing pseudo-mass matrix that assigns small pseudo masses DOFs surrounded only and degenerates an identity solid region. procedure developed can handle both simple multiple eigenvalues wherein consistent sensitivities directional derivatives are derived utilized in gradient-based algorithm - method moving asymptotes. An adaptive linear energy interpolation also incorporated analyses distortion deformations. numerical results demonstrate that, systems with either low or high symmetries, stability constraints ensure structural at target load Post-analysis B-spline fitted designs shows safety margin, i.e., gap between 1st critical load, optimized be well controlled selecting different constraint values. Interesting behaviors such as mode switching bifurcations demonstrated.