Variable kinematic beam elements for electro-mechanical analysis
| Autor: | Federico Miglioretti, Marco Petrolo, Erasmo Carrera |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
business.industry
Mathematical analysis Order (ring theory) Kinematics Structural engineering Finite element method Computer Science Applications Quadratic equation Control and Systems Engineering Displacement field Bibliography Electrical and Electronic Engineering business Beam (structure) Mathematics Variable (mathematics) |
| Zdroj: | Smart Structures and Systems. 13:517-546 |
| ISSN: | 1738-1584 |
| DOI: | 10.12989/sss.2014.13.4.517 |
| Popis: | This paper proposes a refined electro-mechanical beam formulation. Lagrange-type polynomials areused to interpolate the unknowns over the beam cross section. Three- (L3), four- (L4), and nine-point(L9) polynomials are considered which lead to linear, bi-linear, and quadratic displacement field approximations over the beam cross-section. Finite elements are obtained by employing the principle of virtualdisplacements in conjunction with the Carrera Unified Formulation (CUF). The finite element matricesand vectors are expressed in terms of fundamental nuclei whose forms do not depend on the assumptions made. Additional refined beam models are implemented by introducing further discretizations, overthe beam cross-section. Some assessments from bibliography have been solved in order to validate theelectro-mechanical formulation. The investigations conducted show that the present formulation is ableto detect the electro-mechanical interaction. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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