Free vibration analysis of a flat plate using the hierarchical finite element method
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Cited by (120)
Hamiltonian system-based analytical solutions for the free vibration of edge-cracked thick rectangular plates
2023, Applied Mathematical ModellingCitation Excerpt :According to the open literature, the free vibration of intact plates has been widely investigated by various solution methods. Representative numerical methods include the finite element method (FEM), e.g., Bardell [1], the isogeometric analysis, e.g., Shojaee et al. [2,3], the boundary element method, e.g., Nardini and Brebbia [4], the finite difference method, e.g., Aksu and Felemban [5], the finite strip method, e.g., Cheung et al. [6], the meshless method, e.g., Chen et al. [7], the discrete singular convolution, e.g., Civalek et al. [8–11], and the differential quadrature method, e.g., Civalek et al. [11,12], Kong et al. [13], Wang and Wang [14], Szekrényes [15], and Trinh et al. [16]. In addition to the above-mentioned numerical methods, the classical semi-inverse analytical methods have also been used.
Nonlinear flutter of composite laminates with curvilinear fibres using a full linearized aerodynamic theory
2022, Journal of Fluids and Structures