Abstract:In this study, the dynamic response of the laminated composite beam with arbitrary lay-ups has been investigated within the framework of the third-order shear deformation theory using the finite element method. A new three-nodded finite element compliant with the theory is introduced next. To deal with the dynamic contact between the delaminated segments, unilateral contact constraints are employed in conjunction with Lagrange multiplier method. Furthermore, the Poisson’s effect is incorporated in the formulat… Show more
“…Yang and Oyadiji (2016) investigated the detection of delamination in composite beams using frequency deviations due to a concentrated mass loading. Jafari-Talookolaei et al (2015) investigated the dynamic analysis of generally laminated composite beam with a delamination based on a higher order shear deformable theory. Della (2015) studied the free vibration analysis of composite beams with overlapping delaminations under axial compressive loading.…”
Unimorph piezoelectric energy harvesters are typically a unimorph cantilever beam located on a vibrating host structure. Delamination is one of the major failure modes of such unimorph cantilevers and therefore is studied in this article. The delaminated cantilever unimorph is modeled with one through-width crack using four Euler beams connected at delamination edges. The governing equations, the corresponding boundary conditions, and the kinematic continuity conditions are derived based on the Hamiltonian principle. The solutions of the voltage and power output for the present model are derived. The influence of the position and the length of the delamination, frequency of input base excitation, and load resistance on the voltage and power output are discussed in detail. The results show that delamination in the unimorph of the energy harvester will impressively decrease the voltage and power outputs. Influences of the delamination located at the free end of the cantilever are more obvious. For a given active length of the delaminated cantilever energy harvester, it is useful to increase the overall length of the cantilever to obtain a higher voltage and power outputs.
“…Yang and Oyadiji (2016) investigated the detection of delamination in composite beams using frequency deviations due to a concentrated mass loading. Jafari-Talookolaei et al (2015) investigated the dynamic analysis of generally laminated composite beam with a delamination based on a higher order shear deformable theory. Della (2015) studied the free vibration analysis of composite beams with overlapping delaminations under axial compressive loading.…”
Unimorph piezoelectric energy harvesters are typically a unimorph cantilever beam located on a vibrating host structure. Delamination is one of the major failure modes of such unimorph cantilevers and therefore is studied in this article. The delaminated cantilever unimorph is modeled with one through-width crack using four Euler beams connected at delamination edges. The governing equations, the corresponding boundary conditions, and the kinematic continuity conditions are derived based on the Hamiltonian principle. The solutions of the voltage and power output for the present model are derived. The influence of the position and the length of the delamination, frequency of input base excitation, and load resistance on the voltage and power output are discussed in detail. The results show that delamination in the unimorph of the energy harvester will impressively decrease the voltage and power outputs. Influences of the delamination located at the free end of the cantilever are more obvious. For a given active length of the delaminated cantilever energy harvester, it is useful to increase the overall length of the cantilever to obtain a higher voltage and power outputs.
“…The objects analyzed include composite beams, laminated plates, and laminated shells. [29][30][31][32][33] For instance, Jafari-Talookolaei et al 34,35 used the finite element method to explore the dynamic response of delaminated composite beams and provided analytical and finite element solutions for the free vibration analysis of such beams. Their work delved into the effects of dimension, location, structure, boundary conditions, and material anisotropy on dynamic characteristics.…”
Thin‐walled carbon fiber‐reinforced‐polymer (CFRP) tubes are susceptible to damage, which impacts their dynamic characteristics. This paper investigates the influence of delamination damage on the dynamic properties of thin‐walled CFRP tubes through finite element simulation and experimental methods. A transversely isotropic principal model is employed to establish the geometric model. Delamination damage is induced using the cohesive zone model and the secondary stress criterion. Both circumferential and elliptical delamination cases are studied. The modal test is conducted using the hammer excitation method. It is observed that the finite element model aligns with the experimental results. It is discovered that the larger the delamination size, the lower the natural frequency for a given damage location. The location of the delamination within a single layer has minimal effect on the natural frequency. The natural frequency exhibits a symmetrical pattern of decreasing and then increasing as the delamination shifts from the sides toward the center layer. Positional information is discernible in the modal shape, which can be utilized for delamination detection and localization.Highlights
The damage model is built by transversal isotropic equation and cohesive unit.
Finite element model is built with various delamination sizes and locations for two cases.
Modal tests are performed on CFRP tubes and obtained good accuracy.
Effect of delamination size and location on dynamic parameters is discussed.
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