Optimization design of multi-stable metamaterial origami mechanism (MSMOM) based on graded height and graded conical degree

Abstract

To investigate the mechanical properties of the multi-stable metamaterial origami mechanism (MSMOM), this paper proposes two novel research parameters. The two parameters are graded initial height and graded conical degree, respectively. MSMOM is composed of cylindrical or conical bistable Kresling units arranged in series. A target optimization model based on the rigid foldable truss method is established. The optimization objectives and constraint conditions related to the proposed two research parameters are determined. Three optimized configurations of MSMOM are obtained through the goal attainment optimization algorithm. The mechanical model based on the nonlinear bar-hinge model is established by MATLAB. The mechanical performance and deformation modes of optimized MSMOMs are explored. A static/quasi-static finite element model is developed based on ABAQUS to validate the nonlinear bar-hinge model. The research findings indicate that the two novel research parameters significantly influence the mechanical performances of MSMOM. Specifically, these influences are evident in force-displacement curves, stability types, snap-through behavior, energy absorption capacity, and deformation modes. It contributes to advancing the development of multi-stable mechanical metamaterials to meet diverse application needs or working scenarios.