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transfer matrix

Giorgio Carta's picture

Transmission and localisation in ordered and randomly-perturbed structured flexural systems

The paper presents a novel analysis of localisation and transmission properties of randomly-perturbed flexural systems. Attention is given to the study of propagation regimes and the connection with localised resonance modes in the context of Anderson's localisation. The analytical study is complemented with numerical simulations relevant to the design of efficient vibration isolation systems.

 

Eigenvalues, reflected and transmitted energy, localisation factors for the examined bi-coupled random system:

Giorgio Carta's picture

Bloch-Floquet waves in flexural systems with continuous and discrete elements

In this paper we describe the dynamic behavior of elongated multi-structured media excited by flexural harmonic waves. We examine periodic structures consisting of continuous beams and discrete resonators disposed in various arrangements. The transfer matrix approach and Bloch-Floquet conditions are implemented for the determination of different propagation and non-propagation regimes.

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