This paper presents a finite element solution for the static analysis of a multi-layers beam with and without piezoelectric layers. The beam is under large deformation. The virtual work principle and the Lagrangian update method (LUM) have been employed to study the static behavior of piezoelectric beams. Four-nodes element with two displacement degrees of freedom and one electrical degree of freedom has been used in this analysis. Finally, in order to prove the validity of the presented formulation and the solving process, the results are compared with the other available data.
Darvizeh,M. , Darvizeh,A. , Arab Zadeh,V. and Rajabi,H. (2010). Nonlinear analysis of multi-layered beams with piezoelectric layeres considering large deformations. Modares Mechanical Engineering, 10(2), 57-67.
MLA
Darvizeh,M. , , Darvizeh,A. , , Arab Zadeh,V. , and Rajabi,H. . "Nonlinear analysis of multi-layered beams with piezoelectric layeres considering large deformations", Modares Mechanical Engineering, 10, 2, 2010, 57-67.
HARVARD
Darvizeh M., Darvizeh A., Arab Zadeh V., Rajabi H. (2010). 'Nonlinear analysis of multi-layered beams with piezoelectric layeres considering large deformations', Modares Mechanical Engineering, 10(2), pp. 57-67.
CHICAGO
M. Darvizeh, A. Darvizeh, V. Arab Zadeh and H. Rajabi, "Nonlinear analysis of multi-layered beams with piezoelectric layeres considering large deformations," Modares Mechanical Engineering, 10 2 (2010): 57-67,
VANCOUVER
Darvizeh M., Darvizeh A., Arab Zadeh V., Rajabi H. Nonlinear analysis of multi-layered beams with piezoelectric layeres considering large deformations. Modares Mechanical Engineering, 2010; 10(2): 57-67.
