Transient stresses and voltage developed in a spinning disc of radially inhomogeneous piezoelectric material
The stress distributions and the voltage developed in an annular disc of inhomogeneous piezoelectric material spinning with a variable angular velocity have been investigated. The stiffness coefficients and piezoelectric stress coefficients as well as the permittivity of the material of the disc may vary as any power of the radial distance. The solution of the problem is presented in terms of Bessel and Lommel functions, in which both the boundaries are kept free from radial stress. It deals with the determination of the hoop stress, and others, for a prescribed value of the applied shearing stress and voltage at the boundaries. The corresponding results for a homogeneous spinning disc can be deduced. Graphical representation of the results may be helpful to designers.