Journal of Theoretical
and Applied Mechanics

55, 2, pp. 407-420, Warsaw 2017
DOI: 10.15632/jtam-pl.55.2.407

Parameter estimation of a discrete model of a reinforced concrete slab

Małgorzata Abramowicz, Stefan Berczyński, Tomasz Wróblewski
This paper presents parameter estimation of a mathematical model regarding natural vibrations
of a reinforced concrete slab. Parameter estimation is based on experiments conducted
on a real reinforced concrete slab. Estimated parameters include: substitute longitudinal
modulus of elasticity of the reinforced concrete slab, which takes into account longitudinal
reinforcement, effective thickness of the reinforced concrete slab and coefficient of damping.
Using appropriate criteria during, the process of parameter estimation of the reinforcement
concrete slab models has a great impact on obtaining precise results. The estimation criteria
are selected in order to achieve consistency of natural vibration frequencies along with the
Frequency Response Function measured during experiments with those calculated with the
mathematical model. The model and all the calculations have been made using MATLAB
programming environment.
Keywords: rigid finite element (RFE) model, reinforced concrete slab, estimation criteria, modal parameters, vibrations