This chapter proposes an analytical model considering geometric nonlinearity to address inaccuracies in previous studies neglecting dynamic changes in helix diameter, angle, and active coil number during compression. Using Frenet unit vectors for force analysis, it derives compressive stiffness via energy principles and solves compressive strength with the Tsai-Hill criterion, using iteration for geometric parameter updates. Experiments on carbon fiber unidirectional and glass fiber woven composite helical structures validate the model. Parametric studies show compressive stiffness decreases from 1280 N/m to 504 N/m as helix angle increases to 45°, and from 886 N/m to 7 N/m as diameter increases to 500 mm, highlighting significant geometric nonlinearity effects in large-angle/helix diameter structures.

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Compressive Folding of Composite Helical Structures

  • Jiang-Bo Bai,
  • Tian-Wei Liu,
  • Nicholas Fantuzzi

摘要

This chapter proposes an analytical model considering geometric nonlinearity to address inaccuracies in previous studies neglecting dynamic changes in helix diameter, angle, and active coil number during compression. Using Frenet unit vectors for force analysis, it derives compressive stiffness via energy principles and solves compressive strength with the Tsai-Hill criterion, using iteration for geometric parameter updates. Experiments on carbon fiber unidirectional and glass fiber woven composite helical structures validate the model. Parametric studies show compressive stiffness decreases from 1280 N/m to 504 N/m as helix angle increases to 45°, and from 886 N/m to 7 N/m as diameter increases to 500 mm, highlighting significant geometric nonlinearity effects in large-angle/helix diameter structures.