The Research On Topology Optimization Of Energy Harvesting Devices Based On PEMAP-P

The conception of the topology optimization of piezoelectric energy harvesting devices is to find the optimum distribution of piezoelectric materials within the design domain under given loads, boundaries and constraints to improve the material utilization and the energy conversion efficiency. To deal with the shortcomings of the existing research, such as the topology optimization of piezoelectric composite material and the topology optimization considering model building methods. The paper presents a two-phase topology optimization for piezoelectric energy harvesting devices and the effect of pattern repetition in topology optimization of piezoelectric material.Firstly, we studied the piezoelectric element with 12 degrees of freedom and use MATLAB to realize the simulation of finite element analysis. The analysis is based on the piezoelectric material model with penalization and polarization. The selecting of penalty exponents is also be studied. And a topology optimization model aimed to maximize the energy conversion efficiency of the piezoelectric energy harvesting devices have been built. The method of moving asymptotes is used to solve the forward problem of energy harvesting devices.Secondly, owing to the friability of piezoelectric material,the piezoelectric energy harvesting devices are comprised of piezoelectric material and elastic material. Therefore, an alternative ways to express the piezoelectric material property interpolation for two material structure has been proposed. With this method, structures composed of two materials, including elastic material and piezoelectric material, are regarded as design variables under the topology optimization formulation. It seems to be a more reasonable solution for the topology optimization of piezoelectric composite materials.Finally, the model repetition constraint for piezoelectric material has been studied. We use the unit cells method to build the model of model repetition constraint based on the PEMAP-P model. And the proposed method has been improved for solving piezoelectric energy harvesting problems. Numerical examples are presented to illustrate the method.