Transactions of the American Society of Mechanical Engineers · 1932 · 126 citations · 0 references
EngineeringMechanical EngineeringApplied MechanicsStructural DynamicsVibrationDamped VibrationFree VibrationStructural DampingStructural VibrationVibration AnalysisVibration ControlCritical DampingCritical SpeedCritical Speed AnalysisDamped Free VibrationDamped Transient ResponseDampingDamping EffectsDamping Mechanisms
Abstract This paper gives an exact solution of the problem of running a system having a single degree of freedom and linear damping through its critical speed from rest at a uniform acceleration. An exact expression is found for the envelope in which are located the maximum amplitudes. The results are plotted for various rates of acceleration and for various dampings.