Transverse vibrations of orthotropic plate with absolutely rigid inclusions taking into account distributed load on its surface

Keywords

vibrations, orthotropic plate, inclusions, distributed load, indirect boundary elements method.

Cite as

Shopa T. V. and Tuzheliak O. I. Transverse vibrations of orthotropic plate with absolutely rigid inclusions taking into account distributed load on its surface. Physico­chemical Mechanics of Materials. 2022. 58(2), 105-111.

Abstract

The solution of the problem of steady-state transverse vibrations of an orthotropic plate of complex shape with a set of absolutely rigid inclusions of different configuration taking into account harmonic in time arbitrary distributed load on the surface of the plate is cons­tructed on the basis of the indirect boundary elements method using sequential representa­tion of the Green’s functions. The refined plate theory which takes into account transverse shear deformation and inertial components is used. Different types of connections of inclusions with the plate and mixed harmonic in time boundary conditions on the outer boundary of the plate are considered. Inclusions are assumed to perform predominantly translational motion along the normal direction to the middle surface of the plate. Test numerical results for partial cases of the problem are presented.

References

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