Discrete Element Simulation Of Lateral Movement Of Entangled Granular Chain Under Vertical Excitation

Granular system,the typical dissipated non-equilibrium system,has many interesting phenomena and complex dynamic problems.Therefore the study of the dynamic behavior of granular system under excitation has become the hot frontier research issue in the fields of physics and mechanics.The granular chain system is a simple system in the granular system,but it shows the complex characteristics of stochastic and non-equilibrium state,also it shows good match with the dynamic behavior of polymer molecular chain and DNA chain.At present,the understanding of the motion of the granular chain system is still not clear enough.In particular,the movement and related mechanisms of the granular chain system under the vertical vibration condition need in-depth study.The use of experimental methods,as well as semi empirical and semi theoretical research methods have been unable to understand the inherent complexity of the particle chain system.Therefore,computer simulation based on physical model has been a key method to research the internal mechanism,the mesoscopic characteristic and the complex structure of the granular media system.In this paper,relying on the experimental results that the entangled granular chain can horizontally walk under the vertical excitation of platform,using the Discrete Element Method(DEM),we write the related procedures,which could realize the chain's horizontally walk.Correlation calculation results show that:1)In the DEM simulation,we chose the distribution of the platform's viscosity coefficient,which is large in the two ends and small in the middle and varies exponentially,to simulate the change and the influence of notch in the platform;2)For the mean velocity of the horizontal movement of the granular chains,the effects of the frequency and the amplitude of the vibrated platform are relatively large,while the Young's modulus,the Poisson's ration of the particles and the elastic coefficient of the chain are relatively small;3)For the granular temperature in the horizontal movement of the granular chain,the vibration frequency,vibration amplitude,the Young's modulus,the Poisson's ratio and the elastic coefficient of the chain have different degrees of influence,but the influence of the Young's modulus of the particles is relatively large.The computational results gotten in the numerical simulation qualitatively reflects the dynamical behavior of the entangled granular chain,which can provide the basis for a better understanding of face and solve other research in the field of related issues.Our work have certain reference significance for the further research.