论文标题
环形膜的耦合电弹性变形和不稳定性
Coupled electro-elastic deformation and instabilities of a toroidal membrane
论文作者
论文摘要
我们在这里分析了在耦合机电负载下介电弹性膜大变形的问题。通过使用机械和电场引起的总能量来研究，请研究了圆环膜的极大变形（封闭体积变化100倍和更大）。采用了一种修改的射击方法来求解由此产生的耦合和高度非线性的普通微分方程的系统。我们证明了限制点，皱纹和对称性的屈曲不稳定性的发生。这些“可逆”不稳定性的每一个开始都显着取决于机械载荷与电载荷的比率，从而提供了状态切换的控制机制。
We analyse here the problem of large deformation of dielectric elastomeric membranes under coupled electromechanical loading. Extremely large deformations (enclosed volume changes of 100 times and greater) of a toroidal membrane are studied by the use of a variational formulation that accounts for the total energy due to mechanical and electrical fields. A modified shooting method is adopted to solve the resulting system of coupled and highly nonlinear ordinary differential equations. We demonstrate the occurrence of limit point, wrinkling, and symmetry-breaking buckling instabilities in the solution of this problem. Onset of each of these "reversible" instabilities depends significantly on the ratio of the mechanical load to the electric load, thereby providing a control mechanism for state switching.
