The vibration energy can be converted to electrical energy directly and efficiently using piezoelectric cantilever beam based on piezoelectric effect. Since its structure is simple and its working process is unpoisonous to the environment, the piezoelectric cantilever beam can be used in various fields comprehensively. The present paper perform an analysis on the vibration energy harvesting problem of piezoelectric bimorph cantilever beam. The piezoelectric cantilever model has been formulated using the theory of elasticity mechanics and piezoelectric theory. A prototype of piezoelectric power generator is set up to do vibration test, and the electromechanical coupling FEA model under vibration load is built to simulate its output displacement, stress and voltage. The present numerical results of piezoelectric bimorph cantilever coincide well with our related experimental results, which shows the validity of the present FEA model and the relate results.

The bimorph piezoelectric cantilever model for vibration energy harvesting was established to analyse its natural frequency and generating performance according to Euler-Bernoulli theory. The influence of the length and thickness of piezoelectric cantilever on natural frequency and generating voltage was discussed by computing the cantilever equivalent stiffness. Experimental investigation was performed to measure its natural frequency and output generating voltage of bimorph piezoelectric cantilever, and the effect of cantilever with different proof mass and structural parameters on generating performance was also analysed. Theoretical results of bimorph piezoelectric cantilever are compared with experimental results qualitatively, good correlations are observed.

The analysis on a two-dimensional infinite anisotropic magnetoelectroelastic solid containing an elliptic hole subjected to a generalized force on the hole surface is performed in this paper. By employing the Stroh formalism, the method of analytical continuation, the technique of conformal mapping, the concept of superposition and the exact electromagnetic boundary conditions, the Green’s functions are obtained.

The two-dimensional problem of an elliptic inclusion embedded into an anisotropic magneto-electro-elastic solid is studied. Based on the Stroh formalism combined with the technique of conformal mapping and the method of analytical continuation, general solutions for the stress and deformations in the entire domain are obtained when a generalized line force and a generalized line dislocation is located at a point outside, inside, or on the interface of an elliptical inclusion. Comparisons with some related solutions show that the present solutions are valid and general.

In order to solve the inconsistent problem of multi-layer connection and vibration in each layer, a butterfly piezoelectric generator with multilayer cantilever beams is designed. The generator is mainly constituted by butterfly multilayer cantilever beams and mass subassembly two parts. Physical devices of butterfly generator and typical piezoelectric cantilever are fabricated respectively. The experimental setup is also put up for the testing of resonant frequency and output voltage. It can be found that each layer of multilayer generator has a similar output voltage and resonant frequency to the typical one with same geometric and material parameters. So each layer in butterfly piezoelectric generator can be simplified as a typical cantilever beam for researching and analyzing.