Non-linear response of elastic snap-through structures

Abstract eng:
Moderate rotation beam theory is used to map out a complete quasi-static analytical solution. Insight from the quasi-static solution is exploited to derive a single degree-of-freedom dynamic model. Complete regime maps are presented for the macroscopic lattice stress and strain associated with snap-through, stable configurational changes, and the peak strains in the struts before and after snap-through. It is demonstrated that snap-through behavior can only be achieved without densification by including struts in the loading direction that are twice the lattice spacing. The paper concludes with a brief discussion of lattice concepts that enable exploitation of these behaviors.

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