Equilibrium-Based Nonhomogeneous Anisotropic Beam Element
| Autor: | Philippe Couturier, Steen Krenk |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Materials science
Turbine blade Aerospace Engineering 02 engineering and technology Mechanics Elasticity (physics) 01 natural sciences Finite element method law.invention 010101 applied mathematics 020303 mechanical engineering & transports 0203 mechanical engineering law 0101 mathematics Element (category theory) Material properties Anisotropy Beam (structure) Stiffness matrix |
| Zdroj: | Krenk, S & Couturier, P 2017, ' Equilibrium-Based Nonhomogeneous Anisotropic Beam Element ', A I A A Journal, vol. 55, no. 8, pp. 2773-2782 . https://doi.org/10.2514/1.J055884 |
| ISSN: | 1533-385X 0001-1452 |
| Popis: | The stiffness matrix and the nodal forces associated with distributed loads are obtained for a nonhomogeneous anisotropic elastic beam element by the use of complementary energy. The element flexibility matrix is obtained by integrating the complementary-energy density corresponding to six beam equilibrium states, and then inverted and expanded to provide the element-stiffness matrix. Distributed element loads are represented via corresponding internal-force distributions in local equilibrium with the loads. The element formulation does not depend on assumed shape functions and can, in principle, include any variation of cross-sectional properties and load variation, provided that these are integrated with sufficient accuracy in the process. The ability to represent variable cross-sectional properties, coupling from anisotropic materials, and distributed element loads is illustrated by numerical examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|