The steady-state response of the classic mass-spring-dashpot model when the spring stiffness decays exponentially with time (an aging spring) and the system is excited by a forcing function whose frequency is equal to the natural frequency of the system with the constant initial stiffness is investigated. The steady-state response is obtained in terms of the dumping and decay constants of the system and exhibits an oscillation about a nonzero value.
Resonance and the Aging Spring
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, May 30, 2001; final revision, September 5, 2001. Associate Editor: N. C. Perkins.
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Lardner , T. J. (May 3, 2002). "Resonance and the Aging Spring ." ASME. J. Appl. Mech. May 2002; 69(3): 397–398. https://doi.org/10.1115/1.1458559
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