TY - GEN
T1 - The refined theory of torsional deformation of transversely isotropic piezoelectric circular shaft
AU - Zhao, Bao Sheng
AU - Gao, Yang
AU - Zhao, Ying Tao
AU - Zhou, Xin Xiang
PY - 2009
Y1 - 2009
N2 - The refined theory and the decomposed theorem of plates are converted into the refined theory of the torsional deformation of transversely isotropic piezoelectric circular shaft by using Bessel Function's Operator Method from equation of transversely isotropic piezoelasticity for torsional problem without ad hoc assumptions. Firstly, the problem of deducing one-dimensional theory from three-dimensional theory for transversely isotropic piezoelastic shaft is investigated. Expressions are obtained for all the displacements and stress components in term of one function on the neutral axis. Secondly, based on the refined theory of piezoelectric circular shaft, the exact equations for homogeneous boundary conditions are derived, which consist of two governing differential equations: 2-orders equation and the transcendental equation. Lastly, the approximate governing equations are accurate up to the high-order terms with respect to radius of shaft in the case of non-homogenous boundary conditions.
AB - The refined theory and the decomposed theorem of plates are converted into the refined theory of the torsional deformation of transversely isotropic piezoelectric circular shaft by using Bessel Function's Operator Method from equation of transversely isotropic piezoelasticity for torsional problem without ad hoc assumptions. Firstly, the problem of deducing one-dimensional theory from three-dimensional theory for transversely isotropic piezoelastic shaft is investigated. Expressions are obtained for all the displacements and stress components in term of one function on the neutral axis. Secondly, based on the refined theory of piezoelectric circular shaft, the exact equations for homogeneous boundary conditions are derived, which consist of two governing differential equations: 2-orders equation and the transcendental equation. Lastly, the approximate governing equations are accurate up to the high-order terms with respect to radius of shaft in the case of non-homogenous boundary conditions.
KW - Bessel's function
KW - Piezoelectric circular shaft
KW - Refined theory
KW - Torsional deformation
UR - http://www.scopus.com/inward/record.url?scp=78249269517&partnerID=8YFLogxK
U2 - 10.1109/SPAWDA.2009.5428966
DO - 10.1109/SPAWDA.2009.5428966
M3 - Conference contribution
AN - SCOPUS:78249269517
SN - 9781424449507
T3 - Joint Conference of the 2009 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, SPAWDA 2009 and 2009 China Symposium on Frequency Control Technology
SP - 153
EP - 156
BT - Joint Conference of the 2009 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, SPAWDA 2009 and 2009 China Symposium on Frequency Control Technology
T2 - Joint Conference of the 2009 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, SPAWDA 2009 and 2009 China Symposium on Frequency Control Technology
Y2 - 17 December 2009 through 20 December 2009
ER -