The variational and virial-like theory of oscillations and stability of non-conservative and/or non-linear mechanical systems

DOI10.1016/0022-460X(86)90264-6zbMath0605.70014OpenAlexW2009187519MaRDI QIDQ3742786

John G. Papastavridis

Publication date: 1986

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(86)90264-6

zbMATH Keywords

instabilityperiodic solutionsnonlinearoscillatorsHamiltonian actionvan der Pol's oscillatorholonomicHamilton's law of varying actionnon-potential forcesfrequency variationsnon- conservativeDuffing's (cubic) oscillatorlimit-cycle stabilitylinear circulatory oscillatorlinear conservative, loading parameter dependent oscillatorvirial-like methods

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Other variational principles in mechanics (70H30) Free motions in linear vibration theory (70J30)

Related Items (3)

Einstein summation for multidimensional arrays. ⋮ Supporting tensor symmetries in EinSum. ⋮ Time-integral theorems for nonholonomic systems

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