Monte Carlo Based Isogeometric Stochastic Finite Element Method for Uncertainty Quantization in Vibration Analysis of Piezoelectric Materials

Yanming Xu, Haozhi Li, Leilei Chen, Juan Zhao and Xin Zhang
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Yanming Xu: School of Architecture and Civil Engineering, Huanghuai University, Zhumadian 463000, China
Haozhi Li: College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang 464000, China
Leilei Chen: School of Architecture and Civil Engineering, Huanghuai University, Zhumadian 463000, China
Juan Zhao: College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang 464000, China
Xin Zhang: School of Architecture and Civil Engineering, Huanghuai University, Zhumadian 463000, China

Mathematics, 2022, vol. 10, issue 11, 1-17

Abstract: In this study, a Monte Carlo simulation (MCs)-based isogeometric stochastic Finite Element Method (FEM) is proposed for uncertainty quantification in the vibration analysis of piezoelectric materials. In this method, deterministic solutions (natural frequencies) of the coupled eigenvalue problem are obtained via isogeometric analysis (IGA). Moreover, MCs is employed to solve various uncertainty parameters, including separate elastic and piezoelectric constants and their combined cases.

Keywords: isogeometric analysis; two-dimensional piezoelectric structure; eigenvalue analysis; Monte Carlo simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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