Topology optimization of structural frames based on a nonlinear Timoshenko beam finite element considering full interaction

• Published in: International journal for numerical methods in engineering Vol. 123; no. 19; pp. 4562 - 4585
• Main Authors: Changizi, Navid, Amir, Mariyam, Warn, Gordon P., Papakonstantinou, Konstantinos G.
• Format: Journal Article
• Language: English
• Published: Hoboken, USA John Wiley & Sons, Inc 15.10.2022; Wiley Subscription Services, Inc
• Subjects: Approximation; Divergence; Equilibrium equations; Excitation; Frame design; Frame structures; Hysteresis; hysteretic beam finite element; Interpolation; material nonlinearity; multiaxial interactions; Nonlinear differential equations; Nonlinearity; Optimization; Ordinary differential equations; Stiffness matrix; time‐varying excitation; Timoshenko beam; Timoshenko beams; Topology optimization

This article presents an approach for the topology optimization of frame structures composed of nonlinear Timoshenko beam finite elements (FEs) under time‐varying excitation. Material nonlinearity is considered with a nonlinear Timoshenko beam FE model that accounts for distributed plasticity and ax...