Structural Engineering and Mechanics

  • 제10권3호
  • /
  • Pages.289-298
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  • 2000
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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An analytical solution to the laminated piezoelectric beam under the electric field

  • Lin, Qirong (Department Of Engineering Mechanics, Shanghai Jiao Tong University) ;
  • Jin, Zhanli (Department Of Engineering Mechanics, Shanghai Jiao Tong University) ;
  • Liu, Zhengxing (Department Of Engineering Mechanics, Shanghai Jiao Tong University)
  • 발행 : 2000.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

Based on the two-dimensional constitutive relationship of the piezoelastic material, this paper derived an analytic solution to the elastic beam with the piezoelectric layer under the electric field, presented the explicit expressions of its displacement and stress. It is helpful for understanding the electrical and mechanical behavior of piezoelectric materials as actuators and the validation of the numerical methods such as FEM.

키워드

참고문헌

  1. Ding, H.J., Chen, B. and Liang, J. (1996), "General solutions for coupled equations for piezoelectric media", International Journal of Solids and Structures, 33(16), 2283-2298. https://doi.org/10.1016/0020-7683(95)00152-2
  2. Hill, L.R. and Farris, T.N. (1998), "Three-dimensional piezoelectric boundary element method", AlAA Journal, 36(1), 102-108. https://doi.org/10.2514/2.358
  3. Kagawa, Y., Tsuchiya, T. and Kataoka, T. (1996), "Finite element simulation of dynamic responses of piezoelectric actuators", Journal of Sound and Vibration, 191(4), 519-538 https://doi.org/10.1006/jsvi.1996.0138
  4. Liu, Z.X., Li, S.Q. and Zhang, J.G. (1999), "The constitutive relationships of elastic piezoelectric materials for the plane problems", Shanghai Journal of Mechanics, 20(1), 32-42.
  5. Samata, B., Ray, M.C. and Bhattacharyya, R. (1996), "Finite element model for active control of intelligent structures", AIAA Journal, 34(9), 1885-1893. https://doi.org/10.2514/3.13322
  6. Sun, K. and Zhang, F.X. (1984), Piezoelectricity, National Defense Industry Press, Beijing, China.
  7. Timoshenko, S.P. and Goodier, J.N. (1970) Theory of Elasticity, McGraw-Hill, New York.
  8. Tzou, H.S. (1991), "Distributed model identification and vibration control of continua: Theory and applications", Journal of Dynamic Systems, Measurement and Control, 113, 484-499
  9. Yang, Y.W., Cai, W. and Li, S.Q. (1997), "Electromechainical coupled finite element and dynamic equations", Journal of Shanghai Jiao Tong University, 31(7), 54-59.

피인용 문헌

  1. Smart materials and structures—a finite element approach—an addendum: a bibliography (1997–2002) vol.11, pp.5, 2003, https://doi.org/10.1088/0965-0393/11/5/302
  2. A new two-dimensional model for electro-mechanical response of thick laminated piezoelectric actuator vol.42, pp.20, 2005, https://doi.org/10.1016/j.ijsolstr.2005.02.050
  3. Control of free vibration with piezoelectric materials: Finite element modeling based on Timoshenko beam theory vol.19, pp.5, 2005, https://doi.org/10.12989/sem.2005.19.5.477
  4. A variational energy approach for electromechanical analysis of thick piezoelectric beam vol.6, pp.9, 2005, https://doi.org/10.1631/jzus.2005.A0962