Topological optimization method for vibration energy collection piezoelectric metamaterial sheet structure

Abstract

The invention relates to a topological optimization method for a vibration energy collection piezoelectric metamaterial sheet structure. The topological optimization method comprises the following steps: acquiring a D-dimensional structure size and an algorithm parameter value of a cell unit and performing initialization processing; establishing a parameterized finite element model and carrying out simulation calculation; calculating a first vibration band gap of the piezoelectric metamaterial thin plate, and terminating the optimization process when the number of iterations exceeds a preset value or the decrement of the first vibration band gap is smaller than a set threshold value; otherwise, selecting a plurality of groups of geometric dimension individuals to perform mutation operationto generate a mutation vector group; selecting a plurality of groups of geometric dimension individuals and sorting; selecting a plurality of groups of geometric dimension individuals for crossover operation; and selecting an individual with an optimal geometric dimension as a new D-dimensional structure dimension, and gradually achieving all the optimal dimensions. By adopting the method, the physical significance is clear, the established target function is directly related to the geometric dimension of the unit cell, the geometric dimension of each component of the unit cell structure canbe optimized at the same time, and the calculation process is simple and easy to implement.

Description

technical field [0001] The present application relates to the technical field of piezoelectric material vibration power generation, in particular to a topology optimization method for vibration energy harvesting piezoelectric metamaterial thin plate structure. Background technique [0002] It is an important development trend of structural health monitoring (SHM) technology to design a sensor monitoring system that meets various requirements and integrate it into the structure so that the structure itself can realize self-sensing and self-diagnosis. In particular, the SHM wireless sensor network based on micro-electromechanical systems (MEMS) has the advantages of both MEMS and wireless measurement and control technologies, and is currently the key research direction of SHM technology for major projects. How to provide long-term and reliable power for wireless sensor nodes is one of the problems to be solved in the field of SHM. [0003] As the power consumption of wireless...

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Problems solved by technology

However, this cantilever beam structure has several obvious shortcomings in practical applications: one is that it requires additional space to place the mass block and the clamping end; It produces the maximum energy and has poor ability to collect broadband vibration energy; the third is that its resonance frequency is inversely proportional to the length, and it needs to increase the length to collect low-frequency vibration energy

Chinese patent CN202010063955.7 discloses a vibration energy harvesting piezoelectric metamaterial thin plate material topology optimization method, which optimizes the layout of piezoelectric materials under the condition of given thin plate and mass block, so that the first-order vibration bandgap width is the largest , but does not consider the optimization of the size of each part of the unit cell, so it is urgent to optimize the size of the unit cell structure to obtain the largest first-order vibration bandgap width

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