RESONANCE EVALUATION WITH GEOMETRIC STIFFNESS AND CREEP OF SLENDER BEAM OF REINFORCED CONCRETE

Abstract eng:
This article assesses the occurrence of resonance with the effects of geometric stiffness and creep in the vibration of a prestressed reinforced concrete beam. A mathematical model based on the Rayleigh method is used, designed to represent a simply supported beam, intended to function as the base of an engine. The gross cross-section of the beam is set to an arrangement of passive reinforcement that is able to resist the effort provided in the simulation, treated by the method of homogenized section. Creep is taken into account through a three-parameter rheological model that conduces to a temporal modulus of elasticity; a normal force of compression reproduces the post tensioning force, which changes the stiffness, and consequently, the natural frequency of vibration of the structure with time. The results from the numerical simulation indicate resonant and non-resonant schemes between the natural frequency of the beam and the frequency of the engine predicted in the mathematical considerations.

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