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math-ph2026
Localized oscillation of an Euler--Bernoulli beam with time-varying parameters on a visco-elastic foundation: asymptotics, adiabatic invariant, and equivalent Hamiltonian system
Ekaterina V. Shishkina, Serge N. Gavrilov, Yulia A. Mochalova
We consider localized oscillation of an Euler--Bernoulli beam on a visco-elastic foundation coupled to a damped discrete oscillator. All parameters of the system independently vary…
math-ph2024★ 1 cited
Energy transport in a free Euler-Bernoulli beam in terms of Schrödinger's wave function
Serge N. Gavrilov, Anton M. Krivtsov, Ekaterina V. Shishkina
The Schrödinger equation is not frequently used in the framework of the classical mechanics, though historically this equation was derived as a simplified equation, which is equiva…