研究目的
To propose and apply a topology optimization methodology based on level set method and radial basis function for designing piezoelectric energy harvesters, aiming to achieve clear boundaries and smooth topologies.
研究成果
The proposed LSM and RBF-based methodology effectively produces smooth and feasible topologies for piezoelectric energy harvesters, with improved convergence and performance. Numerical results show a 9% increase in the objective function and validate the method's versatility for general topology optimization problems.
研究不足
The study is limited to numerical simulations and static case analysis; it does not address dynamic conditions or experimental validation. The method may require further optimization for complex geometries or different materials.
1：Experimental Design and Method Selection:
The methodology uses a level set method (LSM) with an improved material interpolation model for topology optimization, combined with a radial basis function (RBF) post-processor to smooth the optimized topology. A 3D finite element formulation is employed to compute performance parameters.
2：Sample Selection and Data Sources:
The design domain consists of piezoelectric material layers in a unimorph energy harvester under static point load, with the entire piezoelectric layers set as the design domain.
3：List of Experimental Equipment and Materials:
No specific equipment or materials are listed; the study is numerical and computational.
4：Experimental Procedures and Operational Workflow:
The procedure involves initializing the level set function, updating it using an upwind finite difference scheme, applying volume constraints with augmented Lagrangian method, optimizing the topology to maximize energy conversion factor, and post-processing with RBF to smooth boundaries.
5：Data Analysis Methods:
Sensitivity analysis is performed using derivatives of objective functions with respect to element densities, and numerical results are compared for different penalization factors to validate the method.
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