What is undamped vibration
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The simplest vibrations to analyze are undamped, free, one degree of freedom vibrations. "Undamped" means that there are no energy losses with movement (whether intentional, by adding dampers, or unintentional, through drag or friction). An undamped system will vibrate forever without any additional applied forces.
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A undamped vibration is the response of a vibration system modeled without a damping or dissipative component, i.e. with only mass and springs elements. For example, a single-degree-freedom system has one natural frequency which, ideally continues, without diminishing amplitude. Adding a damping element changes the natural frequency and has a declining vibratory amplitude. No real system actually lacks damping.
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