基于几何积分方法的压电岛-桥结构动力行为分析

Due to its excellent ductility, the flexible electronic device, which is based on the island-bridge structure, has wide applications in wearable skin electronics and aerospace. Lead zirconate titanate (PZT) is an ideal material to fabricate the island-bridge structure for flexible electronic devices, because of its excellent electrical and mechanical properties. However, those kinds of devices would work in a complex environment, and their stabilities would be influenced by the complex environment. Therefore, dynamic behaviors of the buckled island-bridge structure will be investigated in this paper. Firstly, based on the theory of Timoshenko beam, the governing equation of the buckled piezoelectric island-bridge structure with fixed ends is derived. Secondly, the Galerkin method is utilized to transform the partial differential equation into an ordinary differential equation. Thirdly, the geometric integral method is used to solve the corresponding dynamic equations. Finally, through several numerical examples, effectiveness and advantages of the geometric integral method are verified, and influences of temperature change and voltage on the dynamic response of the buckled island-bridge structure are discussed. The results of this paper would be useful to guide design of piezoelectric island-bridge-based flexible electronics.