Abstract
In this chapter the free vibration of undamped and damped single degree of freedom systems is discussed. The term free vibration is used to indicate that there is no external force causing the motion. The motion is primarily the result of initial conditions, such as an initial displacement of the mass element of the system from an equilibrium position and/or an initial velocity. The free vibration is said to be undamped free vibration if there is no loss of energy throughout the motion of the system. This is the case of the simplest vibratory system, which consists of an inertia element and an elastic member which produces a restoring force which tends to restore the inertia element to its equilibrium position. Dissipation of energy may be caused by friction or if the system contains elements such as dampers which remove energy from the system. In such cases, the oscillation is said to be free damped vibration.
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© 1991 Springer-Verlag New York, Inc.
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Shabana, A.A. (1991). Free Vibration of Single Degree of Freedom Systems. In: Theory of Vibration. Mechanical Engineering Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0362-6_3
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DOI: https://doi.org/10.1007/978-1-4684-0362-6_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97985-4
Online ISBN: 978-1-4684-0362-6
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