Research On Dynamics Of Origami Structure Motion Process

A deployable structure can move along a known path while unfolding in a controlled manner.These features bring benefits when considering issues such as transportation,installation,and the overall sustainability of the structure.As a developable structure with a wide range of applications,origami structure has outstanding folding ability and good mechanical properties,and is used to solve a variety of engineering problems with different properties,covering the fields of aerospace,architecture,biological engineering and so on.This paper will mainly conduct in-depth research on problems such as the uncertainty of the path in the motion process of origami structure with multiple degrees of freedom and the inability to express the overall dynamics equation of origami structure explicitly,which appear in the current research on origami structure.It mainly involves two aspects of kinematics and dynamics analysis of origami structure.Specific research contents include:Kinematic analysis.The expandable conditions of origami structure are analyzed and its expandable discriminant method is proposed.On the basis of the existing calculation methods of freedom of mechanism,the general calculation method of freedom of origami structure is optimized,and the special cases that may appear in the calculation process are explained.A fast modeling method was proposed for origami structures with common configurations,and the validity of the proposed method was verified by calculating the degree of freedom.Different constraints were applied to analyze the different development paths of origami structures with multiple degrees of freedom.Kinetic analysis.The paper folding structure model is simplified,and the advantages and disadvantages of several simplification schemes are compared.Based on Lagrange method,a nonlinear finite element analysis method for origami structure is proposed by taking node coordinate vector as generalized coordinate.The linear form of the kinetic equation is derived by using Taylor’s expansion theory.The energy variation of origami structure during the folding process is analyzed,and the rigid deformation and flexible deformation of origami structure are simulated within an acceptable error range.Concrete example verification.The response and motion trajectory of origami structure under dynamic load are studied,and stiffness analysis including eigenvalues and modes is carried out.The dynamic characteristics of different types of origami structures are analyzed accurately.The correctness and effectiveness of the proposed method are verified by comparing the dynamics of origami structure with other finite element and dynamic tools.This paper provides a practical analysis method for the study of the degree of freedom calculation and dynamic analysis of origami structure,which can be applied to the general origami structure.It contributes a theoretical basis for the design,research and application of origami structure,and provides a reference for future research.