The vibration of an elastic dielectric with piezoelectromagnetism

Abstract

Abstract. This paper presents a few results on the free vibration of a finite elastic dielectric with linear piezoelectromagnetism. Following the proof of selfadjointness, the orthogonality of modes corresponding to different frequencies is proved. A variational principle is given in Rayleigh quotient form for the natural frequency. The variational principle is mixed in the sense that all field variables can be varied independently, and it can be used to generate other variational principles.

Free vibrations of a polar body at elastic range

“…Similar results were presented for the free vibrations of a piezoelectromagnetic body [29]. Rayleigh's micropolar quotient.…”

Acoustic Gap Waves in Piezoelectromagnetic Materials

“…The propagation of plane waves in a piezoelectromagnetic medium was studied in [11][12][13]. Vibrations of a piezoelectromagnetic body were studied in [14,15]. Time-harmonic surface waves in a lithium niobate half space were calculated numerically in [16].…”

Piezoelectromagnetic waves in a ceramic plate

“…The propagation of plane waves in a piezoelectromagnetic medium was studied in [11]- [13]. Vibrations of a piezoelectromagnetic body were studied in [14], [15]. Time-harmonic surface waves in a lithium niobate half-space were calculated numerically in [16].…”