A dynamic analysis of three-dimensional functionally graded beams by hierarchical models
| Autor: | Gaetano Giunta, Yao Koutsawa, Salim Belouettar, Adriano Calvi |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Commercial software
business.industry Differential equation Mathematical analysis Structural engineering Kinematics Space (mathematics) Finite element method Computer Science Applications Control and Systems Engineering Displacement field Boundary value problem Electrical and Electronic Engineering business Beam (structure) Mathematics |
| Zdroj: | Smart Structures and Systems. 13:637-657 |
| ISSN: | 1738-1584 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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