Buckling analysis and algorithm of Kresling origami structure based on equivalent truss model

The equivalent truss model of Kresling origami structure can be used to analyze its bistable characteristics due to its simplicity and efficiency. However, many researchers have not paid attention to how to analyze the pop-up buckling of the origami structures and how to determine the cross-sectional geometric parameters of equivalent elastic slender bars in the equivalent truss model. Based on the equivalent truss model, the relationship between the buckling load of the rod, cross-sectional geometric parameter of the rod, and the applied torque of the truss model is established. At this point, only the torque and load need to be determined to obtain the cross-sectional geometric parameters of the equivalent elastic slender rods. Afterwards, based on wavelet algorithm and sign changing method, this paper designed a widely applicable algorithm for obtaining the buckling load of elastic slender rod. Numerical calculations show that the buckling load of the slender rod obtained by this algorithm is in good agreement with the theoretical solution. Finally, the cross-sectional geometric parameter of the equivalent elastic slender rod is determined by the torque obtained experimentally. This study can provide design basis for fields such as nonlinear origami metamaterials and lattice structures.