The invention relates to the field of dynamic jump behavior
simulation analysis of a thin-wall arch structure, in particular to a thin-wall arch structure finite element approximate calculation method and a lightweight
system. The invention particularly provides a thin-wall arch structure finite element approximate calculation method and a lightweight
system, and the method comprises the steps: carrying out one-time quasi-static equilibrium path analysis, obtaining a characteristic value closest to zero of each increment step, recognizing characteristic values before and after sign change, carrying out two-time perturbation finite
element analysis, and carrying out two-time perturbation finite
element analysis; the method comprises the following steps of: obtaining an approximate transient dynamic jump parameter and a
feature vector, obtaining an approximate jump parameter and a
feature vector at a
saddle point based on a feature value interpolation closest to zero, finally obtaining an approximate transient jump response through a
Gaussian hyper-geometric function, and proposing a Python / C-based
hybrid programming method to realize the lightweight of a finite
element analysis system. And the calculation cost and the analysis difficulty of the flexible shallow arch
saddle point transient jump analysis can be effectively reduced.