6533b7d6fe1ef96bd1266797
RESEARCH PRODUCT
Analysis of block random rocking on nonlinear flexible foundation
Antonina PirrottaPol D. SpanosA. Di MatteoE. Gebelsubject
Computer scienceMonte Carlo methodAerospace Engineering020101 civil engineeringOcean Engineering02 engineering and technology0201 civil engineeringDamper0203 mechanical engineeringLinearizationCivil and Structural EngineeringBlock (data storage)Mechanical EngineeringMathematical analysisNonlinear flexible foundationStatistical and Nonlinear PhysicsFilter (signal processing)Condensed Matter PhysicsNumerical integrationNonlinear systemRocking motion020303 mechanical engineering & transportsNuclear Energy and EngineeringImpactRandom base excitationSettore ICAR/08 - Scienza Delle Costruzionidescription
Abstract In this paper the rocking response of a rigid block randomly excited at its foundation is examined. A nonlinear flexible foundation model is considered accounting for the possibility of uplifting in the case of strong excitation. Specifically, based on an appropriate nonlinear impact force model, the foundation is treated as a bed of continuously distributed springs in parallel with nonlinear dampers. The statistics of the rocking response is examined by an analytical procedure which involves a combination of static condensation and stochastic linearization methods. In this manner, repeated numerical integration of the highly nonlinear differential equations of motion is circumvented, and a computationally efficient semi-analytical solution is obtained. Comparisons with pertinent Monte Carlo simulations demonstrate the efficiency and reliability of the proposed approach. Finally, the survival probability related to toppling of the blocks subject to filtered white noise excitation is investigated, for different kinds of block geometries, foundation materials, and filter parameters.
year | journal | country | edition | language |
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2020-01-01 | Probabilistic Engineering Mechanics |