  Transitions of multistability in structures have been exploited for various
functions and applications, such as spectral gap tuning, impact energy
trapping, and wave steering. However, a fundamental and comprehensive
understanding of the transitions, either quasi-static or dynamic transitions,
has not yet been acquired, especially in terms of the sequence predictability
and tailoring mechanisms. This research, utilizing the stacked
Miura-ori-variant (SMOV) structure that has exceptional multistability and
shape reconfigurability as a platform, uncovers the deep knowledge of
quasi-static and dynamic transitions, and pioneers the corresponding versatile
formation and tuning of mechanical logic gates. Through theoretical, numerical,
and experimental means, discriminative and deterministic quasi-static
transition sequences, including reversible and irreversible ones, are
uncovered, where they constitute a transition map that is editable upon
adjusting the design parameters. Via applying dynamic excitations and tailoring
the excitation conditions, reversible transitions between all stable
configurations become attainable, generating a fully-connected transition map.
Benefiting from the nonlinearity of the quasi-static and dynamic transitions,
basic and compound mechanical logic gates are achieved. The versatility of the
scheme is demonstrated by employing a single SMOV structure to realize
different complex logic operations without increasing structural complexity,
showing its superior computing power and inspiring the avenue for efficient
physical intelligence.
