Affiliations: [a] Department of Civil Engineering, Chulalongkorn
University, Bangkok, 10330, Thailand | [b] Department of Mechanical Engineering, The University
of British Columbia, Vancouver, V6T 1Z4, Canada
Abstract: This paper considers quasi-static linear response of a solid
piezoelectric cylinder due to electric voltage and mechanical loading applied
at the ends. A recently developed analytical general solution for an annular
cylinder of finite length is used to analyze this complex mixed-boundary value
problem. The general solution for electroelastic field and the applied loading
are expressed in terms of Fourier-Bessel infinite series. Both flexible
electrodes in smooth contact with and rigid electrodes bonded to the cylinder
ends are considered. The problem is formulated by dividing the electrode
contact area into several annular rings and developing a flexibility equation
system based on a set of influence functions to satisfy the mixed-boundary
conditions at the cylinder ends. The present approach allows consideration of a
cylinder under a variety of electromechanical loading conditions. Accuracy of
the present scheme is confirmed by comparing with the existing solutions for
the limiting case of an elastic cylinder. Selected numerical results for
different cylinder length-radius ratios, electrode dimensions, materials and
electric voltage and mechanical loads are presented to demonstrate the coupled
electromechanical behavior of a cylinder.
