The normal modes of non-linear symmetric systems by group representation theory

DOI10.1016/0020-7462(74)90012-2zbMath0294.70026OpenAlexW2094056999MaRDI QIDQ1212811

S. Singh

Publication date: 1974

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(74)90012-2

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Nonlinear dynamics in mechanics (70K99) Modal analysis in linear vibration theory (70J10) Orbital mechanics (70M20) Applications of group representations to physics and other areas of science (20C35) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (3)

Interactions between normal modes in nonlinear dynamical systems with discrete symmetry. Exact results ⋮ Existence of nonlinear normal modes for coupled nonlinear oscillators ⋮ Nonlinear normal modes and their superposition in a two-degree-of-freedom asymmetric system with cubic nonlinearities

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