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On Fourier implementation of tolerance modeling of linear elastodynamics of periodic composites

Kula D.

Journal of Applied Mathematics and Computational Mechanics

2014

Vol. 13, nr 4

73--80

The report presents a new model of linear elastodynamics of periodic composites. The study deals with a certain extension of the ideas yield tolerance modelling. In the proposed model the displacement field is determined by an infinite number of unknowns. This disappointment seems to be apparent in many cases of periodicity since the sequence of tolerance shape functions used in the modelling procedure is not unique and opens the possibility to control the model equations. It has been formulated and solved, within the framework of the resulting model, the problem of independence short-term and long-term perturbations by linearly elastic composite solid.

Local model of plane acoustic waves propagation in multilayered infinite sandwich structures

Karczmarzyk S.

Archives of Mechanics

2011

Vol. 63, nr 5-6

573-573

A local model for computing the coincidence frequencies and the transmission loss of multilayered infinite sandwich plates composed of isotropic layers is presented in the paper. The model is derived within the local theory of linear elastodynamics under assumption that only one component of the vector potential is equivalent to zero and after application of the Pythagorean theorem. Any simplifications concerning the structure have not been introduced. A passage from the acoustic model to some plate benchmark models is shown. Numerical results predicted by the model for homogeneous, three-layer sandwich and five-layer sandwich infinite-infinite plates are obtained and compared with the results predicted by other models existing in the literature. Both flexural and breathing waves are numerically analysed. Some conclusions of practical importance have also been formulated.