Eigenvalue embedding of undamped piezoelectric structure system with no-spillover

TL;DR

This paper addresses the eigenvalue embedding problem for undamped piezoelectric structures, proposing parametric solutions to update system eigenpairs while preserving others, with demonstrated numerical effectiveness.

Contribution

It introduces a novel eigenvalue embedding method specifically for undamped piezoelectric systems with no-spillover, providing parametric solutions and numerical validation.

Findings

Effective eigenpair updating algorithms demonstrated

Numerical examples confirm the method's accuracy

Preserves original system properties while updating eigenvalues

Abstract

In this paper, the eigenvalue embedding problem of the undamped piezoelectric structure system with no-spillover (EEP-PS) is considered. It aims to update the original system to a new undamped piezoelectric structure system, such that some eigenpairs are replaced by newly given or measured ones, while the remaining eigenpairs are kept unchanged. A set of parametric solutions to the EEP-PS are provided and the performance of the proposed algorithms are illustrated by numerical examples.