Calculation and analysis of nonlinear dynamic model based on the characteristic line method

摘要

To solve the problem that the impact dynamics model is nonlinear and cannot be resolved the analytical solution,the differential equations of the characteristic line compatible relation are constructed,the initial value conditions and the boundary value conditions are determined.The dynamic state of the whole domain is gradually recurred by selecting the appropriate time step and the space step.The theoretical results are consistent with the experimental results,indicating that the method of solving the model is feasible.This method provides an effective theoretical analysis and calculation method for the study of dynamic characteristics of structures under impact.