Affiliations: Department of Civil and Environmental Engineering,
Koszalin University of Technology, Koszalin, Poland | IDMEC-IST, Instituto Superior Técnico, Lisboa,
Portugal
Note: [] Corresponding author: Piotr Koziol, Department of Civil and
Environmental Engineering, Koszalin University of Technology, Sniadeckich 2,
75-453 Koszalin, Poland. E-mail: piotr.koziol@wbiis.tu.koszalin.pl
Abstract: A wavelet based approach is proposed in this paper for analysis and
optimization of the dynamical response of a multilayered medium subject to a
moving load with respect to the material properties and thickness of supporting
half-space. The investigated model consists of a load moving along a beam
resting on a surface of a multilayered medium with infinite thickness and
layers with different physical properties. The theoretical model is described
by the Euler-Bernoulli equation for the beam and the Navier's elastodynamic
equation of motion for a viscoelastic half-space. The moving load is modelled
by a finite series of distributed harmonic loads. A special method based on a
wavelet expansion of functions in the transform domain is adopted for
calculation of displacements in the physical domain. The interaction between
the beam and the multilayered medium is analyzed in order to obtain the
vibration response at the surface and the critical velocities associated. The
choice of the specific values of the design parameters for each layer, which
minimize the vibration response of the multilayered medium, can be seen as a
structural optimization problem. A first approach for using optimization
techniques to explore the potential of the wavelet model is presented and
briefly discussed. Results from the analysis of the vibration response are
presented to illustrate the dynamic characterization obtained by using this
method. Numerical examples reflecting the results of numerical optimizations
with respect to a multilayered medium parameters are also presented.
