Closed-form rocking overturning conditions for a family of pulse ground motions.

@article{Dimitrakopoulos2016ClosedformRO,
  title={Closed-form rocking overturning conditions for a family of pulse ground motions.},
  author={Elias G Dimitrakopoulos and Edwin Dat Win Fung},
  journal={Proceedings. Mathematical, physical, and engineering sciences},
  year={2016},
  volume={472 2196},
  pages={
          20160662
        }
}
This paper characterizes the stability of a rigid rocking block subjected to a family of multi-lobe pulse ground motions. It unveils a counter to intuition plurality of overturning (OT) modes despite the short duration and bounded energy of the examined ground motions. Accordingly, it describes with original closed-form expressions the critical conditions of all OT modes involving a finite number of impacts. It also proposes pertinent semi-analytical, exact analytical and approximate analytical… CONTINUE READING
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