The small oscillations of an arbitrary scleronomous systems subject to time-independent non dissipative forces are discussed. The linearized equations of motion are solved by quadratures. As in the conservative case, the general integral is shown to consist of a superposition of harmonic oscillations. A complexification of the resolving algorithm is presented.
Small oscillations of non-dissipative Lagrangian systems
Enrico Massa;Stefano Vignolo
2019-01-01
Abstract
The small oscillations of an arbitrary scleronomous systems subject to time-independent non dissipative forces are discussed. The linearized equations of motion are solved by quadratures. As in the conservative case, the general integral is shown to consist of a superposition of harmonic oscillations. A complexification of the resolving algorithm is presented.
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