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Abstract

A unique feature of fiber-reinforced composite materials is that it allows structural tailoring for favorable dynamic performance, due to the directional nature of composite materials. The directional nature causes material coupling, which results in coupled vibrational modes and complicates dynamic analysis. Most of the up-to-date composite structure related dynamic studies focus on free vibration analysis. In this paper, the local wave transmission and reflection characteristics at various discontinuities are studied first. Such discontinuities include general point supports, boundaries and change in sections. The matrix relations between the injected waves and externally applied forces and moments are also derived. By assembling these matrices, both free and forced vibration responses of materially coupled composite Euler–Bernoulli beams are obtained. The wave-based vibration analysis approach is found concise and systematic. Numerical examples are given.

Keywords

Wave vibration composite beam vibration transmission and reflection free and forced vibration analysis

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Global and Local Wave Vibration Characteristics of Materially Coupled Composite Beam Structures

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