Research On The Multi-stable Characteristics Of Origami Configuration And Its Vibration Reduction Performance

Vibration isolation is an important research direction in the field of vibration control.Compared with active and semi-active vibration isolation which requires energy consumption,passive vibration isolation is mostly used at present.At present,the passive vibration isolation mainly uses the linear spring.According to the principle of vibration isolation,it cannot give consideration to both the bearing capacity and the vibration isolation performance.In order to effectively solve the low-frequency vibration isolation problem and improve the vibration isolation performance of the vibration isolator,quasi-zero stiffness(QZS)vibration isolation technology has become a better solution in the field of low-frequency vibration isolation in recent years.In this paper,based on the bistable principle of Kresling origami,a new type of origami quasi-zero stiffness vibration isolator composed of positive and negative stiffness Kresling origami in parallel is proposed.In this paper,the static finite element simulation of ABAQUS was used to analyze the influence of geometric and material parameters of Kresling origami on the mechanical multi-stable properties during the folding process,and the shortcomings of existing studies were pointed out.Using the results of parametric analysis,an origami quasi-zero-stiffness system was constructed by selecting appropriate sub-configurations.An static ABAQUS calculation was performed on the origami quasi-zero-stiffness system,and the results show that the dynamic stiffness of the system is close to zero at the equilibrium position with high static stiffness during the loading process.The origami quasi-zero-stiffness system combines high static stiffness with low dynamic stiffness well.In this paper,the dynamic nonlinear differential equation of origami quasi-zero-stiffness vibration isolation system is established.The formula of amplitude-frequency characteristic and the formula of vibration transmissibility are obtained by solving the equation with harmonic balance method.On this basis,the effects of different damping ratios,excitation amplitudes and higher-order nonlinear terms on amplitudefrequency curves and transmissibility curves are analyzed.In order to verify the accuracy of the harmonic balance method as the approximate solution,this paper uses ABAQUS time history calculation to obtain the finite element solution of the vibration transmissibility of origami quasi-zero-stiffness vibration isolation system,and compares it with the theoretical solution.The results show that the finite element calculation is in good agreement with the theoretical calculation,and the harmonic balance method has good calculation accuracy.According to the formula of vibration transmissibility,this paper calculates and compares the vibration transmissibility of origami quasi-zero-stiffness system and linear system under the same working conditions.The results show that the origami quasi-zero-stiffness vibration isolation system maintains high bearing capacity and excellent vibration isolation performance,especially the low frequency vibration isolation ability.Compared with linear system,the origami quasi-zero-stiffness system has wider vibration isolation band and lower vibration transmissibility.In this paper,a prototype model of origami quasi-zerostiffness vibration isolation system was made and vibration experiments were carried out on the vibration table to verify the above conclusions.In addition to the dynamic analysis of the quasi-zero-stiffness system at the static equilibrium position,the vibration transmissibility of the quasi-zero-stiffness system under overload condition is also calculated in this paper.The results show that the origami quasi-zero-stiffness system is more adaptive to overload than the existing quasi-zero-stiffness system.In the dynamic analysis of the origami quasi-zero-stiffness system,in addition to the study of its vibration dynamic properties,this paper also compared the impact performance of the origami quasi-zerostiffness system and the linear system.The results of ABAQUS impact time history analysis show that the dynamic characteristics of the origami quasi-zero stiffness system have excellent impact isolation potential.Compared with the linear system,the origami quasi-zero-stiffness system has better isolation effect on the impact with longer duration,and the impact transfer rate under the same conditions is much lower than that of the linear system.Aiming at the defects of high stiffness and poor vibration isolation performance of the rubber bearings,this paper also uses Kresling origami to design an additional vibration isolation device for existing widely used rubber bearings based on the principle of quasi-zero-stiffness vibration isolation.The results show that the improved rubber bearing with additional vibration isolation device has better vibration isolation performance,especially the low-frequency vibration isolation performance,than the ordinary rubber bearing.This paper innovatively combines the ancient origami art with the contemporary quasi-zero-stiffness vibration isolation technology to make full use of the huge mechanical potential of origami.In the study of the static and dynamic characteristics of the origami quasi-zero-stiffness system,it was found that compared with the linear system,the origami quasi-zero-stiffness system had wider vibration isolation band,lower initial vibration isolation frequency,lower vibration transmissibility,and better vibration isolation performance,especially low-frequency vibration isolation performance.Compared with the existing quasizero stiffness system whose highest order of restoring force was three times,the highest order of restoring force of origami quasi-zero-stiffness system is five times.The research shows that the origami quasi-zerostiffness system has a longer quasi-zero-stiffness segment,that is,the effective vibration isolation travel is longer.Compared with the existing quasi-zero-stiffness system,the origami quasi-zero-stiffness system has lower dynamic response and vibration transmissibility,especially stronger resistance to over load conditions.Based on the above conclusions,it can be concluded that the vibration isolation performance of the origami quasi-zero-stiffness vibration isolation system is not only better than that of the linear vibration isolation system,but also better than the existing quasi-zero-stiffness vibration isolation system.