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The free asymmetric and axisymmetric vibration of layered piezoelectric spherical shells are analyzed using a two-dimensional first order shear deformable shell theory. Piecewise Hermite interpolation polynomials are used to approximate the unknowns in the azimuthal direction, to Fourier approximations in the circumferential direction. Natural frequencies for layered elastic caps were computed and...
In the present study we approached this problem from both measurement and modeling viewpoints. In the measurements, we used ultrasonic-resonance spectroscopy to determine the macroscopic-vibration-frequency shifts caused by an artificial (electromachined) crack. The modeling used a finite-element method to approximate the macroscopic vibration frequencies of a cracked solid. As a check, we used...
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