Visual Simulation Of Negative Poisson's Ratio Structure Dynamics

The negative Poisson's ratio structure refers to the tensile and bulging state during the tensile deformation process.It is widely used in aerospace,chemical materials,wing deformation and other fields.With the development of science and technology and the needs of engineering,the research on negative Poisson's ratio is paid more attention.However,the research on the application of negative Poisson's ratio in the field of multibody system dynamics is relatively small,so the application of negative Poisson's ratio materials to multi-body system dynamics for the study of negative Poisson's ratio structure is very important.This paper mainly studies the concave honeycomb structure.Based on the concave honeycomb core structure and the multi-body system dynamics Lagrangian equation,the two-dimensional and three-dimensional mechanical models of the concave honeycomb structure of the concave honeycomb core are analyzed and established.For these two models,the stress conditions,mass matrix and constraint problems of the motion process are analyzed.The Runge-Kutta method and the discrete variational method are used to solve the differential-algebraic equations to obtain the displacement and status.According to the negative Poisson's ratio structure of the concave honeycomb core,the geometrical relationship between the plane and the space of the element model is analyzed in two dimensions and three dimensions.Combined with computer graphics,OpenGL and Visual Studio simulated the two-dimensional unit structure,multi-unit structure and three-dimensional unit structure of the concave honeycomb core structure in accordance with the results of equation solving,in order to better reflect the simulation results.At the same time,using graphics rendering technology to add lighting,texture,perspective transformation,etc.to the model.Finally,a two-dimensional and threedimensional concave honeycomb core negative Poisson's ratio structure and its virtual simulation results under dynamic loading are realized.This kind of multi-body system dynamics method is used to model the model and simulate it with computer technology.It can provide an effective theory for the study of the concave negative Poisson's ratio structure and the application of the structure type material in the future.