An optimized negative-stiffness honeycomb compliant mechanism composed of dual-curved-beam units
     Topic(s) : Experimental techniques

    Co-authors​ :

     Nan LIU (UNITED KINGDOM), Pooya SAREH (UNITED KINGDOM) 

    Abstract :
    Designing novel structural concepts for efficient and effective impact protection and vibration control is an active research field that has attracted the scientific community's attention for decades. Amongst a broad range of innovative concepts, the negative-stiffness honeycomb compliant mechanism has been considered a structural design concept with the potential for effective energy absorption and vibration suppression. When subject to pressure, the reaction force of this structure will not monotonically increase with displacement, but experiences single or multiple reduction phases, making it suitable for low-velocity energy-absorbing applications that demand recoverability upon removing the impact load [1, 2].

    While previous research mainly considered the structural mechanics of specific examples of such structures based on their geometric parameters, in this research, we derive the general function of the force-displacement curve for a representative structure with multiple layers and columns of curved beams. It is shown that the result of optimization on the model with one layer and one column can be applied to models with multiple layers and columns. Furthermore, based on given constraints on force and displacement, as well as different boundary conditions, the energy absorption capacity of the structures is mathematically derived and optimized.

    Composite lattice structures comprised of rigid and flexible structural elements are designed and fabricated. The analytical results are verified for different boundary conditions using numerical and experimental methods. Consequently, the limit bounds for the design parameters of the lattice structure were determined. Based on our findings, given a set of requirements on maximum reaction force and displacement, the appropriate geometric design parameters of the structure can be calculated for various practical applications.