The Exact Solution of the Bending Moment in the Folding Process of Negative Poisson’s Ratio Honeycomb Tape Spring and Multi-Objective Optimization Design

The tape spring is a crucial component used in the deployment mechanism of spacecraft, and lightweight design currently one critical issues that need to be addressed. This paper explores substitution effect two different negative Poisson’s ratio honeycomb-corrugated structures for use space-deployable structures. Theoretical finite element methods demonstrated honeycomb structure could equivalent an orthotropic structure. cylindrical shell bending theory was adopted, taking into account nonlinearity geometric equation, influence cross-sectional deformation position on internal force expression, equation derive expressions moment curvature radius during folding process. Numerical were comparative analysis. NSGA-II algorithm optimized parameters honeycomb, resulting optimal solution under given constraints. results showed Auxetic re-entrant performed better capacity than Star-shaped per unit mass superior traditional spring.