Response of a Bridge Crane during an Earthquake

During an earthquake, a bridge crane may be
subjected to multiple impacts between crane wheels and rail. In order
to model such phenomena, a time-history dynamic analysis with a
multi-scale approach is performed. The high frequency aspect of the
impacts between wheels and rails is taken into account by a Lagrange
explicit event-capturing algorithm based on a velocity-impulse
formulation to resolve contacts and impacts. An implicit temporal
scheme is used for the rest of the structure. The numerical coupling
between the implicit and the explicit schemes is achieved with a
heterogeneous asynchronous time-integrator.




References:
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[2] V. Acary, Higher order event capturing time-stepping schemes for
nonsmooth multibody systems with unilateral constraints and impacts,
Applied Numerical Mathematics 62 (10) (2012) 1259-1275.
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[6] A. Gravouil, A. Combescure, M. Brun, Heterogeneous asynchronous
time integrators for computational structural dynamics, IJNME,
accepted, 2014.