Dynamic Characteristic Analysis Of Piezoelectric Smart Beams

Smart structure possesses various preferable properties in dynamic circumstances and online use, such as self-test, self-diagnosis, self-monitoring, self-repair and self-adaptation. In recent years, researches on smart structure aroused the attention of scientists in world especially those in major developed countries. The vibration control, a branch of smart structure's application, has been widely adopted in the areas of military, machinery and medicine products especially in aerospace industry, where its great potentials has already been shown.By considering piezoelectric material's positive piezoelectric effect and negative piezoelectric effect, in this paper, the interaction between piezoelectric patches and vibration system of simple-supported smart beam is analysed. By applying generalized location function method, the vibration equation of smart beam with distributed piezoelectric sensors and actuators has been established. Based on above, researches of structural dynamic characteristic analysis and dynamic response analysis for uniform and non-uniform cross section smart beams are studied, and influence of axial force on vibration of the smart beam is discussed. Dynamic characteristics and response of smart beam under piezoelectric effect are derived by numerical examples. The disciplinarian for exact dynamic design of smart beam with distributed piezoelectric sensors and actuators is provided.A new method—modified Fourier series method, for modeling and calculation of smart beam was brought up in this paper. Unlike conventional Fourier series, modified Fourier series can approach a function with internal geometrical discontinuities more conveniently. By using modified Fourier series as displacement function of smart beams, the break phenomena of strain at the edge of piezoelectric patches can satisfy correctly and achieve higher accuracy. Numerical results showed that the method proposed is feasible and effective.