Response of a Bridge Crane during an Earthquake

Authors: F. Fekak, A. Gravouil, M. Brun, B. Depale

Abstract:

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.

Keywords: Earthquake, bridge crane, heterogeneous asynchronous time-integrator, impacts.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1124541

References:

[1] T. Belytschko, M. Neal, Contact-impact by the pinball algorithm with penalty and lagrangian methods, IJNME 31 (1991) 547-572.
[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.
[3] B. Brogliato, A. Ten Dam, L. Paoli, F. Genot, M. Abadie, Numerical simulation of finite dimensional multibody nonsmooth mechanical systems, Applied Mechanics Reviews 55 (2) (2002) 107-150.
[4] V. Acary, Projected event-capturing time-stepping schemes for nonsmooth mechanical systems with unilateral contact and coulombs friction, Computer Methods in Applied Mechanics and Engineering 256 (2013) 224-250.
[5] A. Gravouil, A. Combescure, A multi-time-step explicit-implicit method for non-linear structural dynamics, IJNME, 50, pp. 199-225, 2001.
[6] A. Gravouil, A. Combescure, M. Brun, Heterogeneous asynchronous time integrators for computational structural dynamics, IJNME, accepted, 2014.