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The small oscillations of an arbitrary scleronomous system subject to time-independent non dissipative forces are discussed. The linearized equations of motion are solved by quadratures. As in the conservative case,… Click to show full abstract
The small oscillations of an arbitrary scleronomous system 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.
Keywords:
non dissipative;
dissipative lagrangian;
oscillations non;
small oscillations;
lagrangian systems
Journal Title: Journal of Mathematical Physics
Year Published: 2019
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Journal Title: Journal of Mathematical Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!