The torsional vibration of a piezoelectric solid cylinder of arbitrary cross section of (622) class
type: Item
instance of: scholarly article
title: The torsional vibration of a piezoelectric solid cylinder of arbitrary cross section of (622) class
zbMATH Open document ID: 0634.73114
DOI: 10.1016/0020-7225(88)90003-1
author: H. S. Paul
author: M. Venkatesan
published in: International Journal of Engineering Science
publication date: 1988-01-01T00:00:00Z
review text: The torsional vibration of a piezoelectric solid cylinder of arbitrary cross-section of class (622) crystals is investigated. The boundary conditions are satisfied using the Fourier expansion collocation method, and the frequency equation which is applicable for the general cross- section is derived. Numerical calculations have been carried out for the circular cylinder and elliptic cylinders of \(\beta\)-quartz. The frequencies obtained in the present method for the circular cylinder are compared with those of an exact method.
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 4033301
zbMATH Keywords: beta-quarz
zbMATH Keywords: torsional vibration
zbMATH Keywords: piezoelectric solid cylinder
zbMATH Keywords: arbitrary cross-section
zbMATH Keywords: (622) crystals
zbMATH Keywords: Fourier expansion collocation method
zbMATH Keywords: frequency equation
zbMATH Keywords: circular cylinder
zbMATH Keywords: elliptic cylinders
MaRDI profile type: Publication
full work available at URL: 0020-7225(88)90003-1
OpenAlex ID: W1975735132
cites work: Vibrations of piezoelectric crystals
cites work: Wave propagation in a piezoelectric two-layered cylindrical shell with hexagonal symmetry: Some implications for long bone
cites work: Asymptotic analysis of the torsional modes of wave propagation in a piezoelectric solid circular cylinder of (622) class
cites work: WAVE PROPAGATION IN PIEZOELECTRIC RODS OF HEXAGONAL CRYSTAL SYMMETRY
cites work: Method for solving vibration problems of a plate with arbitrary shape
cites work: Dispersion of elastic waves in bars with polygonal cross section
cites work: Stress Wave Propagation in a Bar of Arbitrary Cross Section
cites work: Wave propagation in an infinite long bar of arbitrary cross section and with a circular cylindrical cavity
cites work: Wave propagation in a rod with an arbitrarily shaped outer boundary and a cylindrical cavity of arbitrary shape
description: scientific article; zbMATH DE number 4033301