Possibilities of control and suspension of bending vibrations of a geometrically nonlinear Euler‐Bernoulli beam subjected to two oppositely moving point loads in given finite time are considered. It is assumed that the beam undergoes large deformations and the nonlinear von Kármán strains are considered. The suspension is carried out by means of optimizing the placements of visco‐elastic dampers under the beam. By applying the modified Bubnov‐Galerkin procedure, it becomes possible to avoid linearization of the state equation. The validation of the theory is carried out on the example of a finite simply supported beam. It is observed that by optimizing the dampers placements, both the maximal absolute value of the beam transverse displacements and the vibration reduction time can be reduced.

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The guided shear wave localisation is considered in the problem of reflection and refraction through bi–material stratified elastic reflector perfectly sandwiched between two elastic semi–spaces. Bi-material stratified reflector consists of finite number periodically arranged and perfectly bonded elastic sub-layers. A shear wave incident at the interface of layer from the first semi–space will give rise to a guided wave in reflector, a reflected shear wave in the same semi-space and a refracted shear wave in the second semi–space. It is shown that guided wave amplitude is localized at the neighbourhood of the layer interface adjacent to the incidence elastic semi-space and monotonously attenuates with increasing of cell number, if the frequencies of incident wave are in the stopband ranges.

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