Journal of vibration and acoustics · 1994 · 155 citations · 0 references
Natural SciencesMechanical EngineeringAcousticsComputational AcousticsVibrationAnisotropy AnalysisNumerical AcousticsPhysical AcousticsPiezoelectric MaterialsSurface Wave MethodsWave Propagation In StructuresPlate AcousticsPlate Wave PropagationSurface Acoustic WavesSurface WavesSurface-wave AnalysisVibration Mode ShapesWave Propagation AnalysisWave Propagation In Laminates
The plate’s material properties vary continuously through its thickness. The authors extend their hybrid numerical method for wave propagation in anisotropic laminated plates to functionally gradient piezoelectric material (FGPM) plates. They compute wave characteristics—including energy velocities, mode shapes, and time‑ and frequency‑domain responses—using a frequency‑domain technique applied to FGPM plates. The study shows that low‑mode waves at high wave numbers become surface waves, with a strong surface wave excited on the softer side, suggesting potential use in surface acoustic wave devices.
The hybrid numerical method, which has been proposed by the present authors for wave propagation analysis in anisotropic laminated plates, is extended for functionally gradient piezoelectric material (FGPM) plates. The properties of the plate changes continuously in the thickness direction. Characteristics of waves in the plates, and responses of the plates in the time and frequency domain are considered. A technique for calculating responses in the frequency domain is presented. Energy velocities, mode shapes of the waves in an FGPM plate, and the responses of the plate excited by mechanical loads and electrodes are computed. It is found that waves of lower modes in the FGPM plates for large wave numbers appear as surface waves and that a strong surface wave is excited on the softer surface of the FGPM plate. These surface waves can be expected to be used in surface acoustic wave devices.