Open AccessStability analysis and numerical simulation of a composite laminated piezoelectric rectangular plate system
Author(s) -
S. P. Chen
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/770/1/012061
Subject(s) - piezoelectricity , eigenvalues and eigenvectors , composite number , stability (learning theory) , mathematics , mathematical analysis , routh–hurwitz stability criterion , zero (linguistics) , materials science , physics , composite material , computer science , quantum mechanics , machine learning , polynomial , linguistics , philosophy
This paper investigates the stability behavior in three-degree-freedom composite laminated piezoelectric rectangular plate system based on the Routh-Hurwitz criterion and the normal form theory. Firstly, the stability behavior of the composite laminated piezoelectric rectangular plate is determined by applying the Routh-Hurwitz criterion. Then, the normal forms of the composite laminated piezoelectric rectangular plate systems for the case of one non-semi-simple double zero and two pairs of pure imaginary eigenvalues are obtained by using the normal form theory. Finally, numerical simulations are carried out to illustrate the main results.