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Exact frequency equations of free vibration of exponentially non-uniform functionally graded Timoshenko beams

EngineeringMechanicsFree VibrationMechanical EngineeringRandom VibrationTimoshenko BeamsComputational MechanicsStructural MechanicsNonlinear AcousticVibration ControlNonlinear ResonanceExact Frequency EquationsNonlinear VibrationStructural Vibration