Journal of Applied Mechanics · 1990 · 533 citations · 0 references
EngineeringMechanical EngineeringSensorsStructural DynamicsVibrationModal AnalysisMode ShapesPiezoelectric ActuatorsStructural VibrationVibration ControlVibration MeasurementLaminate TheoryMode TheoryPiezoelectric Beam TheoryPiezoelectric SensorsStructural Vibration AnalysisVibration Mode AnalysisVibration SensingVibration Sensors
The authors propose a modal coordinate analyzer enabling online real‑time measurement of any specific modal coordinate, and a method to fabricate a special two‑dimensional modal sensor. They derive one‑dimensional modal sensor/actuator equations theoretically, validate them experimentally with mode‑1 and mode‑2 cantilever plate sensors, and develop a modal coordinate analyzer and a two‑dimensional sensor fabrication approach. The study demonstrates that distributed piezoelectric modal sensors/actuators can measure and excite specific vibration modes of plates and beams without actuator/observer spillover, confirming the viability of the proposed theory and designs.
A piezoelectric laminate theory that uses the piezoelectric phenomenon to effect distributed control and sensing of structural vibration of a flexible plate has been used to develop a class of distributed sensor/actuators, that of modal sensors/actuators. The one-dimensional modal sensors/actuator equations are first derived theoretically and then examined experimentally. These modal equations indicate that distributed piezoelectric sensors/actuators can be adopted to measure/excite specific modes of one-dimensional plates and beams. If constructed correctly, actuator/observer spillover will not be present in systems adopting these types of sensors/actuators. A mode 1 and a mode 2 sensor for a one-dimensional cantilever plate were constructed and tested to examine the applicability of the modal sensors/actuators. A modal coordinate analyzer which allows us to measure any specific modal coordinate on-line real-time is proposed. Finally, a way to create a special two-dimensional modal sensor is presented.