Analysis and testing on the vibration mode of a metallic hemispher ical shell excited piezoelectr ically

This paper considers the vibration mode of a
metallic hemispherical shell excited piezoelectrically.
Constitutive equations for a thin
piezoceramic shell with thickness polarization
and electro-covered faces are derived using
Niordson’s shell theory. Coupled electromechanical
equations of motion, describing the
dynamics of the vibrating hemispherical shell,
are derived using Hemilton’s principle,
Rayleigh’s solution of the shell and
Rayleigh-Ritz methods.
Vibration modes and natural frequencies of
the hemispherical shell are numerically
calculated and measured.