Abstract:

A kind of conditionally stable implicit time integration scheme is obtained based upon the average weighting method and the assumption that the acceleration in each time step is linear, which is the same as employed in the Newmark or Wilson  θ method. As the indicators of the characteristics of time integration methods, its period elongation and the amplitude decay are given in the closed form. It is shown that the period elongation of this method is much smaller than that of Newmark or Wilson  θ  method and the amplitude decay is much smaller than that of Wilson θ method. Comparison of results obtained by the above three methods in the case of mass elastic rod impact analysis is also given.

Key words: time integration method, elastic impacting, structure