Smart Structures and Systems

  • 제13권4호
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  • Pages.517-546
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  • 2014
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Variable kinematic beam elements for electro-mechanical analysis

  • Miglioretti, F. (Department of mechanical and aerospace engineering, Politecnico di Torino, Corso Duca degli Abruzzi) ;
  • Carrera, E. (Department of mechanical and aerospace engineering, Politecnico di Torino, Corso Duca degli Abruzzi) ;
  • Petrolo, M. (Department of mechanical and aerospace engineering, Politecnico di Torino, Corso Duca degli Abruzzi)
  • 투고 : 2013.04.15
  • 심사 : 2013.12.13
  • 발행 : 2014.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper proposes a refined electro-mechanical beam formulation. Lagrange-type polynomials are used 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 virtual displacements in conjunction with the Carrera Unified Formulation (CUF). The finite element matrices and 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, over the beam cross-section. Some assessments from bibliography have been solved in order to validate the electro-mechanical formulation. The investigations conducted show that the present formulation is able to detect the electro-mechanical interaction.

키워드

참고문헌

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피인용 문헌

  1. Numerical analyses of piezoceramic actuators for high temperature applications vol.151, 2016, https://doi.org/10.1016/j.compstruct.2016.01.084
  2. Analysis of beams with piezo-patches by node-dependent kinematic finite element method models 2017, https://doi.org/10.1177/1045389X17733332
  3. Improved one-dimensional model of piezoelectric laminates for energy harvesters including three dimensional effects vol.127, 2015, https://doi.org/10.1016/j.compstruct.2015.02.065
  4. Recent developments on refined theories for beams with applications vol.2, pp.2, 2015, https://doi.org/10.1299/mer.14-00298
  5. Structural Control of Piezoelectric Laminated Beams under Thermal Load vol.38, pp.1, 2015, https://doi.org/10.1080/01495739.2014.976138
  6. Application of refined beam elements to the coupled-field analysis of magnetostrictive microbeams vol.115, 2017, https://doi.org/10.1016/j.compositesb.2016.10.055
  7. Thermo-piezo-elastic analysis of amplified piezoceramic actuators using a refined one-dimensional model 2018, https://doi.org/10.1177/1045389X17721026
  8. Node-dependent kinematic elements for the dynamic analysis of beams with piezo-patches vol.29, pp.16, 2018, https://doi.org/10.1177/1045389X18798942