Derives matching amplitude formula for localized oscillations of slowly time-varying beam on visco-elastic foundation via three analytic methods in conservative case and asymptotics in dissipative case.
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Localized oscillation of an Euler--Bernoulli beam with time-varying parameters on a visco-elastic foundation: asymptotics, adiabatic invariant, and equivalent Hamiltonian system
Derives matching amplitude formula for localized oscillations of slowly time-varying beam on visco-elastic foundation via three analytic methods in conservative case and asymptotics in dissipative case.