期刊
COMPOSITE STRUCTURES
卷 274, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2021.114364
关键词
Variable-angle-tow composites; Carrera Unified Formulation; Free vibration; Differential quadrature finite element method; Improved hierarchical Legendre expansions
资金
- National Natural Science Foundation of China [12002012, 11772031, 11972004, 11402015, 11872090, 11672019]
- European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme [850437]
This work investigates the free vibration behavior of variable stiffness composite laminates (VSCLs) using the Carrera Unified Formulation (CUF) and weak form differential quadrature finite element method (DQFEM). The novel solutions proposed in the research allow for more robust formulations of Equivalent Single Layer (ESL) and Layer-Wise (LW) models, with accuracy and effectiveness validated through numerical examples and comparison to published data.
The present work deals with the free vibration behavior of the variable stiffness composite laminates (VSCLs) featured by spatially varying fibre orientation angles via novel quasi-three-dimensional solutions. The Carrera Unified Formulation (CUF) is employed to construct such novel models, where cross-section kinematics are described with the improved hierarchical Legendre expansion (IHLE) of primary mechanical variables. The proposed expansions not only maintain the hierarchical properties of the HLE model but also become less sensitive to the numbering sequence of expansion terms. As a result of these enhanced kinematics, Equivalent Single Layer (ESL) and Layer-Wise (LW) models can be formulated more robustly. The weak form differential quadrature finite element method (DQFEM) is employed to solve the governing equations derived by the principle of virtual displacements. Based on CUF-based DQFEM, even a single beam element is sufficient to tackle many complex issues with high accuracy. Compact VSCL beams and plates with various fibre paths, boundary conditions, lamination schemes, and thickness-to-width ratios have been studied in several numerical examples. The proposed method's accuracy and effectiveness are validated by comparing results to published data.
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