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http://dx.doi.org/10.12989/sss.2014.13.4.637

A dynamic analysis of three-dimensional functionally graded beams by hierarchical models  

Giunta, Gaetano (Centre de Recherche Public Henri Tudor)
Koutsawa, Yao (Centre de Recherche Public Henri Tudor)
Belouettar, Salim (Centre de Recherche Public Henri Tudor)
Calvi, Adriano (ESTEC - European Space Agency)
Publication Information
Smart Structures and Systems / v.13, no.4, 2014 , pp. 637-657 More about this Journal
Abstract
This paper presents a dynamic analysis of three-dimensional beams. Structures made of functionally graded materials are considered. Several higher-order as well as classical theories are derived by means of a compact notation for the a-priori expansion order of the displacement field over the beam cross-section. The governing differential equations and boundary conditions are obtained in a condensed nuclear form that does not depend on the kinematic hypotheses. The problem is, then, exactly solved in space by means of a Navier-type solution, whereas time integration is performed by means of Newmark's solution scheme. Slender and short simply supported beams are investigated. Results are validated towards three-dimensional FEM results obtained via the commercial software ANSYS. Numerical investigations show that good accuracy can be obtained through the proposed formulation provided that the appropriate expansion order is considered.
Keywords
three-dimensional beam structures; functionally graded materials; dynamic analysis;
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Times Cited By KSCI : 1  (Citation Analysis)
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