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Exploring guided wave propagation in composite cylindrical shells with an embedded delamination through refined spectral element method
Highlights A shear deformable cylindrical shell spectral element is developed with application to the wave propagation. The delamination is modeled using the multipoint constraint method and the stiffness reduction method. The group velocities estimated via the reflected waves well match the dispersion curves. The influences of the delamination length, depth, and position on the guided wave scattering are demonstrated.
Abstract The elastic wave propagation in a thin-walled composite structure carries information concerning its material properties and structural discontinuities. Towards the damage identification, a refined spectral element method (SEM) is presented to explore the guided wave propagation in composite cylindrical shells with embedded delamination. The governing equations and the natural boundary conditions are derived using the first-order shear deformation theory along with the Hamilton's principle. The spectral shell element is established via the exact strong-form solutions, and the dynamic stiffness matrix is formulated through the force-displacement relations. Transforming the wave differential equations into the frequency domain, the numerical Laplace transform is applied to solve the inverse problems. Following a sub-laminate approach, the delamination is modeled by means of four spectral elements and the interface continuity conditions. In addition, the stiffness reduction method is introduced to approximate the delamination. A comparison with published results in terms of the natural frequencies is made to verify the accuracy of the SEM. The dispersion characteristics of the cylindrical shell are examined including the wave number, phase and group velocities. The interaction of guided waves with the delamination is revealed. The influences of the length, depth, and position of the delamination on the wave responses are demonstrated.
Exploring guided wave propagation in composite cylindrical shells with an embedded delamination through refined spectral element method
Highlights A shear deformable cylindrical shell spectral element is developed with application to the wave propagation. The delamination is modeled using the multipoint constraint method and the stiffness reduction method. The group velocities estimated via the reflected waves well match the dispersion curves. The influences of the delamination length, depth, and position on the guided wave scattering are demonstrated.
Abstract The elastic wave propagation in a thin-walled composite structure carries information concerning its material properties and structural discontinuities. Towards the damage identification, a refined spectral element method (SEM) is presented to explore the guided wave propagation in composite cylindrical shells with embedded delamination. The governing equations and the natural boundary conditions are derived using the first-order shear deformation theory along with the Hamilton's principle. The spectral shell element is established via the exact strong-form solutions, and the dynamic stiffness matrix is formulated through the force-displacement relations. Transforming the wave differential equations into the frequency domain, the numerical Laplace transform is applied to solve the inverse problems. Following a sub-laminate approach, the delamination is modeled by means of four spectral elements and the interface continuity conditions. In addition, the stiffness reduction method is introduced to approximate the delamination. A comparison with published results in terms of the natural frequencies is made to verify the accuracy of the SEM. The dispersion characteristics of the cylindrical shell are examined including the wave number, phase and group velocities. The interaction of guided waves with the delamination is revealed. The influences of the length, depth, and position of the delamination on the wave responses are demonstrated.
Exploring guided wave propagation in composite cylindrical shells with an embedded delamination through refined spectral element method
Hua, Fenfei (author) / You, Qingquan (author) / Huang, Qingyang (author) / Fu, Wanbiao (author) / Zhou, Xiaoqiang (author)
Thin-Walled Structures ; 194
2023-10-31
Article (Journal)
Electronic Resource
English
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