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Simply, are there examples of spring-mass-damper systems that exhibit unbounded behavior or at least increasing behavior for a period of time. I am trying to do some vibrations research, but I am quite out of practice with it.

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    $\begingroup$ Unbounded? No. For that, you must have something that puts more energy into the system than the bounded input. Increasing? Yes, any high-Q resonator (i.e. just spring-mass with little or no damping). A small amplitude excitation at the resonant frequency, will have output of "increasing" amplitude - possibly until it hits some mechanical limit. $\endgroup$
    – Pete W
    Mar 15 at 22:27
  • $\begingroup$ A bi-stable spring. Consider a cone spring being pressed until it inverts and "pops" in the opposite direction.. $\endgroup$
    – Jim Clark
    Mar 18 at 14:53

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