Hallo ,
es ist relativ schwierig Deine Frage zu beantworten ohne ein halbes Mathebuch abzutippen.
Hier ein Zitat aus dem Abaqus Theory Manual der die Begriffe grob beschreibt.
2.4.1 Implicit dynamic analysis
Dynamic integration operators are broadly characterized as implicit or explicit. Explicit schemes, as used in ABAQUS/Explicit, obtain values for dynamic quantities at based entirely on available values at time . The central difference operator, which is the most commonly used explicit operator for stress analysis applications, is only conditionally stable, the stability limit being approximately equal to the time for an elastic wave to cross the smallest element dimension in the model. Implicit schemes remove this upper bound on time step size by solving for dynamic quantities at time based not only on values at , but also on these same quantities at . But because they are implicit, nonlinear equations must be solved. In structural problems implicit integration schemes usually give acceptable solutions with time steps typically one or two orders of magnitude larger than the stability limit of simple explicit schemes, but the response prediction will deteriorate as the time step size, , increases relative to the period, , of typical modes of response. See, for example, Hilber, Hughes and Taylor (1978) for a discussion of such errors. Three factors should be considered when selecting the maximum allowable time step size: the rate of variation of the applied loading, the complexity of the nonlinear damping and stiffness properties, and the typical period of vibration of the structure. In general, a maximum increment versus period ratio 1/10 is a good rule of thumb for obtaining reliable results. Thus, the relative economy of the two techniques of integration depends on the stability limit of the explicit scheme, the ease with which the nonlinear equations can be solved for the implicit operator, the relative size of time increments that can provide acceptable accuracy with the implicit scheme compared to the stability limit of the explicit scheme, and the size of the model.
Gruß
Lukasz
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