Abstract
The paper deals with suitability of use of the explicit and implicit method in heavily nonlinear seismic analysis. Considering typical time of duration of earthquakes from several seconds to approximately twenty seconds, it would seem that use of the implicit method is definitely more suitable. The shape of accelerograms, however, requires quite short time steps. For the explicit method, on the other hand, very short time steps are required in order to obtain a stable solution. Both methods must be compared with respect to a heavily nonlinear response, typical for seismicity. Conclusions of the paper are made on the basis of detailed numerical study and may be very useful for practice.
Highlights
The paper deals with suitability of use of the explicit and implicit method in heavily nonlinear seismic analysis
The calculation performed by the implicit method for the same time step as with the explicit method was several times slower than when carried out by the latter method
When the time step for the implicit method was increased further, the results provided by the method remained accurate enough until the time step was twenty times greater than the time step for the explicit method
Summary
The paper deals with suitability of use of the explicit and implicit method in heavily nonlinear seismic analysis. Considering typical time of duration of earthquakes from several seconds to approximately twenty seconds, it would seem that use of the implicit method is definitely more suitable. On the other hand, very short time steps are required in order to obtain a stable solution. Both methods must be compared with respect to a heavily nonlinear response, typical for seismicity. Numerical methods of direct integration solve system (1) in a finite number of time instants t0 , t1, , tm.
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