Wave-based analysis of jointed elastic bars: stability of nonlinear solutions

نویسندگان

چکیده

In this paper we develop two new approaches for directly assessing stability of nonlinear wave-based solutions, with application to jointed elastic bars. the first approach, strain a stiffness parameter and construct analytical boundaries using method. Not only does accurately determine periodic solutions found in example case bars connected by joint, but it governs response parametrically forced continuous systems without resorting discretization, development itself. second pose perturbation eigenproblem residue (PER) show that changes sign PER locate critical points where from stable unstable, vice-versa. Lastly, discuss follow-on research developed approaches. particular, identify an opportunity study around internal resonance, then need further interpret approach predict stability.

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ژورنال

عنوان ژورنال: Nonlinear Dynamics

سال: 2022

ISSN: ['1573-269X', '0924-090X']

DOI: https://doi.org/10.1007/s11071-022-07969-4