Degenerated shell element for geometrically nonlinear analysis of thin-walled piezoelectric active structures

作者：Marinkovic D^*; Koeppe H; Gabbert U

来源：Smart Materials and Structures, 2008, 17(1): 015030.

DOI：10.1088/0964-1726/17/01/015030

Active piezoelectric thin-walled structures, especially those with a notably higher membrane than bending stiffness, are susceptible to large rotations and transverse deflections. Recent investigations conducted by a number of researchers have shown that the predicted behavior of piezoelectric structures can be significantly influenced by the assumption of large displacements and rotations of the structure, thus demanding a geometrically nonlinear formulation in order to investigate it. This paper offers a degenerated shell element and a simplified formulation that relies on small incremental steps for the geometrically nonlinear analysis of piezoelectric composite structures. A set of purely mechanical static cases is followed by a set of piezoelectric coupled static cases, both demonstrating the applicability of the proposed formulation.

• 出版日期2008-2