期刊
COMPOSITES PART B-ENGINEERING
卷 110, 期 -, 页码 7-19出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.compositesb.2016.10.065
关键词
Free vibration analysis; Sandwich beam structures; Unified formulation; Finite element method
资金
- European Union [642121]
This paper presents a family of beam higher-orders finite elements based on a hierarchical onedimensional unified formulation for a free vibration analysis of three-dimensional sandwich structures. The element stiffness and mass matrices are derived in a nucleal form that corresponds to a generic term in the displacement field approximation over the cross-section. This fundamental nucleus does not depend upon the approximation order nor the number of nodes per element that are free parameters of the formulation. Higher-order beam theories are, then, obtained straightforwardly. Timoshenko's classical beam theory is obtained as a special case. Short and slender beams are investigated. Simply supported, cantilevered and clamped-clamped boundary conditions are considered. Several natural frequencies as well as the corresponding modes are investigated. Results are validated in terms of accuracy and computational costs towards three-dimensional finite element solutions. The proposed hierarchical models, upon an appropriate choice of approximation order, yield accurate results with a reduced computational cost. (C) 2016 Elsevier Ltd. All rights reserved.
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