Resonance and energy transfer in forced vibro-impact systems with linear compliance

Moskovitch, Omer; Gendelman, Oleg

doi:10.1016/j.ijnonlinmec.2022.104104

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Isolated Resonance Approximation For the Case Of 1:1 Resonance1

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2023

2024

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Cited by 3 publications

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“…Using the characteristics of the dynamics in these regions, we try to predict the point of separation of the symmetric mode from the stability region, and the escape limits in its vicinity. Former work [25][26][27][28] employed the isolated resonance assumption to explore the escape of various systems mainly under external harmonic excitation. Some modifications are required to use this approach for the considered dynamical setting.…”

Section: Isolated Resonance Approximation For the Case Of 1:1 Resonancementioning

confidence: 99%

Escape of a particle from two-dimensional potential well

Engel

Gendelman

Fidlin

2023

Preprint

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The paper addresses the escape of a classical particle from a two-dimensional potential well. The main goal is to explore the escape basin and to formulate the analytic prediction of the stability region in the space of initial conditions. To this point, an appropriate modification of the isolated resonance approximation is developed. The approach provides an outer boundary for the stability basin. The mechanism of erosion of the predicted stability boundary via the secondary resonance is explored numerically.

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Section: Isolated Resonance Approximation For the Case Of 1:1 Resonancementioning

confidence: 99%