| Abstrakt: |
Topology optimization of structures composed of truss-like members has been shown to produce results that are very close to the theoretical solution. However, solving complex optimization problems based on the traditional orthogonal truss-like material model remains a challenge. This article proposes a unified framework for solving topology optimization problems based on a non-orthogonal truss-like material model. The framework first establishes a new non-orthogonal truss-like material model that considers the stiffness singularity problem. Several strategies for dynamically changing shear stiffness are studied comparatively. Then, a globally convergent moving asymptote method is employed in three numerical examples, including minimum compliance problems under single and multiple load cases, as well as a stress-constrained problem for an L-shaped design domain. Finally, optimal truss-like structures are obtained with the help of a simple post-processing method. Numerical examples demonstrate that the optimization results for the multiple load cases are better than those obtained using traditional methods for minimum compliance problems. The framework can efficiently solve different types of optimization problems in a unified form, which confirms the effectiveness and advantages of the proposed method. [ABSTRACT FROM AUTHOR] |
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