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Bending and free vibration of functionally graded piezoelectric beam based on modified strain gradient theory

Materials ScienceEngineeringPiezoelectric NanogeneratorsMechanicsFree VibrationMechanical EngineeringMaterial NonlinearitiesSolid MechanicsPiezoelectric BeamPiezoelectricityPiezoelectric MaterialStructural MechanicsVibration ControlMechanics Of MaterialsStructural Vibration