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Vibration and stability of an Euler–Bernoulli beam with up to three-step changes in cross-section and in axial force

Beam StabilityVibrationsEngineeringMechanicsBeam DynamicsMechanical EngineeringMechanical SystemsVibration IsolationRandom VibrationAxial ForceBeam InstabilitiesStructural LoadingThree-step ChangesStructural MechanicsVibration ControlEuler–bernoulli BeamNonlinear VibrationStructural Vibration