<p>This paper presents a density-based topology optimization approach to design stiffener layouts on thin-walled tubular structures with minimal length scale control. A novel density mapping scheme is proposed to represent the stiffener topology, along which the minimum length scales of the width and spacing of the stiffeners are explicitly controlled through the multi-phase density projection method. The buckling-resistant stiffeners are obtained based on an aggregated optimization formulation of linear buckling load factors with nonlinear buckling verifications. The proposed approach can be applied to design lightweight thin-walled structures of arbitrary cross-sectional geometries and multi-curvature regions with desirable buckling resistance while ensuring manufacturability. Numerical examples are provided to show its effectiveness and applicability.</p>

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Minimal length scale control in topology optimization of thin-walled tubular structures

  • Mingdong Zhou,
  • Hongjiang Mao

摘要

This paper presents a density-based topology optimization approach to design stiffener layouts on thin-walled tubular structures with minimal length scale control. A novel density mapping scheme is proposed to represent the stiffener topology, along which the minimum length scales of the width and spacing of the stiffeners are explicitly controlled through the multi-phase density projection method. The buckling-resistant stiffeners are obtained based on an aggregated optimization formulation of linear buckling load factors with nonlinear buckling verifications. The proposed approach can be applied to design lightweight thin-walled structures of arbitrary cross-sectional geometries and multi-curvature regions with desirable buckling resistance while ensuring manufacturability. Numerical examples are provided to show its effectiveness and applicability.