Research On Geometric Analysis Of Origami Structure With Zero Poisson’s Ratio And Its Energy Dissipation Performance

Origami structure has become one of the research hotspots in aerospace,military engineering,building structure and other fields due to its light weight and high efficiency.By applying the zero Poisson’s ratio characteristic into the origami structure,the deformation and mechanical properties can be further exploited,and the application prospect of the origami structure can be expanded.Based on the traditional Kresling origami structure,this paper proposes two origami structures with zero Poisson’s ratio characteristics-variable cross-section Kresling origami structure and crease-added Kresling origami structure,and studies its geometric characteristics and energy consumption performance.Geometric analysis is performed on the traditional Kresling origami,variable-section Kresling origami and crease-added Kresling origami.The geometric condition for forming a tube is derived.It is assumed that the deformation of the traditional Kresling origami and variable cross-section Kresling origami only occurs on one kind of diagonal crease,the vertex coordinates of each origami are obtained by solving the nonlinear equations through geometric relationships.The analysis finds that the change of the vertex coordinates of the variable-section Kresling origami and crease-added Kresling origami exhibit a completely zero Poisson’s ratio during axial stretching or compression,which is,the vertical projection of the structure is always inside or on the edge of the regular polygon during the motion.Then,bistability of traditional Kresling origami,variable cross-section Kresling origami is discussed and the critical value expression of bistability is derived and verified.The optimal design of initial and final states of the traditional Kresling origami in compression process are discussed.At the same time,the array arrangement of the traditional Kresling origami structure is discussed.Mechanics and energy dissipation analysis of variable cross-section Kresling origami and crease-added Kresling origami are conducted.The rod model and thin shell model are constructed respectively and theoretical derivation is made.The result of the comparation is acceptable between theory results and the results of the finite element model analysis results through ABAQUS.Then the parameter analysis is carried out on the space basic unit.To variable cross-section Kresling origami,the analysis of the effects on mechanical properties and energy dissipation capacity is performed with the parameters of ratio of side length of upper and lower regular polygonη,relative angle in initial stateθ_C,thicknessδ,initial height h₀,polygon number of edges n,crease reduction factor k and bottom polygon side length c₀.To crease-added Kresling origami,the parameters includeη,δ,the relative Angle of the first stateθ₀,upper polygon edge length weakening lengthΔc₀ and the length of adding crease m₀.Then,the two types of origami structure are applied to anti-buckling brace,the mechanical effects under different parameters are compared and the design is optimized.The overall performance is better compared with the traditional Kresling origami anti-buckling brace.Three-dimensional array is conducted with variable cross-section Kresling origami and crease-added Kresling origami.Due to the complete zero Poisson’s ratio,a compact array can be formed in the horizontal direction.Variable cross-section Kresling origami is chosen to be the main research object to form a honeycomb structure.Three-way energy dissipation analysis was carried out for single-layer origami honeycomb structure.Compared with the traditional honeycomb,it is found that the energy dissipation capacity of the origami honeycomb in the in-plane direction（X₁ and X₂）is greatly enhanced,while in the out-of-plane direction（X₃）,it is relatively weakened.Using the response surface function,the change rule of three-way energy dissipation index k₀ withθ_C and h₀ is calculated.Furthermore,the multilayer origami honeycomb is designed,and it is found that the energy dissipation performance is approximately the same in different directions.Meanwhile,the difference of three-way energy dissipation capacity under different thicknessδis compared.Finally,a hybrid honeycomb with variable cross-section Kresling origami structure and traditional hexagonal structure was designed,and the three-way energy dissipation performance of origami structure under different proportions was compared,and the design was optimized.