Open Access

ARTICLE

Hybrid Strategy of Partitioned and Monolithic Methods for Solving Strongly Coupled Analysis of Inverse and Direct Piezoelectric and Circuit Coupling

by Daisuke Ishihara^*, Syunnosuke Nozaki, Tomoya Niho, Naoto Takayama

Department of Intelligent and Control Systems, Kyushu Institute of Technology, Fukuoka, Japan

* Corresponding Author: Daisuke Ishihara. Email:

Computer Modeling in Engineering & Sciences 2024, 140(2), 1371-1386. https://doi.org/10.32604/cmes.2024.049694

Received 15 January 2024; Accepted 10 March 2024; Issue published 20 May 2024

Abstract

The inverse and direct piezoelectric and circuit coupling are widely observed in advanced electro-mechanical systems such as piezoelectric energy harvesters. Existing strongly coupled analysis methods based on direct numerical modeling for this phenomenon can be classified into partitioned or monolithic formulations. Each formulation has its advantages and disadvantages, and the choice depends on the characteristics of each coupled problem. This study proposes a new option: a coupled analysis strategy that combines the best features of the existing formulations, namely, the hybrid partitioned-monolithic method. The analysis of inverse piezoelectricity and the monolithic analysis of direct piezoelectric and circuit interaction are strongly coupled using a partitioned iterative hierarchical algorithm. In a typical benchmark problem of a piezoelectric energy harvester, this research compares the results from the proposed method to those from the conventional strongly coupled partitioned iterative method, discussing the accuracy, stability, and computational cost. The proposed hybrid concept is effective for coupled multi-physics problems, including various coupling conditions.

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Keywords

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