2013
DOI: 10.1260/1369-4332.16.9.1513
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Wave Propagation and Localization in a Randomly Disordered Periodic Piezoelectric Axial-Bending Coupled Beam

Abstract: The wave propagation and localization in periodic and randomly disordered periodic piezoelectric axial-bending coupled beams are studied in this paper. The dynamic stiffness matrix is derived based on the finite element model and the transfer matrix between two adjacent cells is obtained by using the continuity conditions. In addition, the Lyapunov exponent method is employed to calculate the localization factor characterizing the average exponential rate of decay of the wave amplitude in the disordered period… Show more

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Cited by 10 publications
(6 citation statements)
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“…To fulfill this purpose, the concept of structural health monitoring (SHM) was proposed, and there has been great development in the SHM area utilizing dynamic measurements in the last few decades 1 . A large amount of methods has been proposed in this research area and applied to various types of basic structural members, laboratory models, and even real‐life structures, including trusses, 2–4 beams and frames, 5–11 plates and shells, 12–18 periodic structures, 19–23 hydraulic steel structures, 24–26 buildings, 27–33 and bridges 34–40 . However, in addition to the specific methods employed for solving the relevant problems as mentioned above, the success of vibration‐based SHM also highly depends on the quality of collected measurement data, which is ensured by the quantity and detailed layout of employed sensors; at present, the sensor configuration is still designed based on experience in most cases by considering a series of practical constraints.…”
Section: Introductionmentioning
confidence: 99%
“…To fulfill this purpose, the concept of structural health monitoring (SHM) was proposed, and there has been great development in the SHM area utilizing dynamic measurements in the last few decades 1 . A large amount of methods has been proposed in this research area and applied to various types of basic structural members, laboratory models, and even real‐life structures, including trusses, 2–4 beams and frames, 5–11 plates and shells, 12–18 periodic structures, 19–23 hydraulic steel structures, 24–26 buildings, 27–33 and bridges 34–40 . However, in addition to the specific methods employed for solving the relevant problems as mentioned above, the success of vibration‐based SHM also highly depends on the quality of collected measurement data, which is ensured by the quantity and detailed layout of employed sensors; at present, the sensor configuration is still designed based on experience in most cases by considering a series of practical constraints.…”
Section: Introductionmentioning
confidence: 99%
“…(2016) where the Lyapunov exponent method was applied to study the dynamic behavior of the periodic beam structure for different parameters including different base beam materials, dimension ratios, piezoelectric constants, and elastic stiffness. Zhu et al. (2013) studied the wave propagation and localization in periodic and randomly disordered periodic piezoelectric axial-bending coupled beams.…”
Section: Introduction and Literature Reviewmentioning
confidence: 99%
“…These works proved that the normal modes, which would be periodic along the length of a perfectly periodic structure, are localized in a small region when periodicity is perturbed. Moreover, Zhu et al [37] studied the wave propagation and localization in periodic and randomly disordered periodic piezoelectric axial-bending coupled beams using a finite element model and the transfer matrix approach. The localization factor characterizing the average exponential rate of decay of the wave amplitude in the disordered periodic structure was computed using the Lyapunov exponent method.…”
Section: Introductionmentioning
confidence: 99%