Abstract:

A general model for impact analysis is presented. Based on the continuum theory, the frictional impact constraint is considered with co moving coordinates, and the virtual work principle is utilized to formulate the governing equations. The theory and algorithms can be used as the basis of impenetrable contact impact analysis. A low velocity impact analysis has been accomplished by using FEM algorithms developed in this paper. An augmented Lagrange iteration with adaptive penalty is proposed to ensure the accuracy and to depress the oscillation of the numerical algorithm. Some examples demonstrate the efficiency of the model and the analysis methods.

Key words: impact model, frictional contact, finite element method