Origami-inspired lattice for the broadband vibration attenuation by Symplectic method

This work investigates the elastic wave propagation in origami-inspired lattice which is a space network established by the beams at the mountain lines and valley lines in Miura-origami. The eigenvalue equation describing the dispersion relation is established by the finite element method and Bloch theorem, and the band structure is obtained by using the Symplectic method to simplify the calculation of the eigenvalue problem. The participation factor is applied to evaluate the Bloch wave modes. The origami-inspired lattice has a wide band gap that suppresses the planar wave propagation. The participation factor explains the phenomenon that the origami-inspired lattice can only suppress plane waves. The vibrational response of the finite lattice further verifies the vibration isolation properties. We find that the origami-inspired lattice provides a new way to design the vibration-isolating structures.