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A stability-switch analysis framework for virtual shaker voltage-based fixed frequency continuation test
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DOI：10.1016/j.ymssp.2026.114209.png)
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Abstract
En 中文
Existing nonlinear model updating predominantly relies on a constant-force level swept frequency test, which captures only stable solutions. Recently, shaker voltage-based fixed frequency continuation has been proposed as an experimental method capable of acquiring unstable responses without additional feedback devices. However, current research has not thoroughly investigated its underlying dynamical mechanisms, treating it merely as an experimental technique with limited unstable solution regions. To probe the deeper principles of shaker voltage-based fixed-frequency continuation and expand its applicability, this paper proposes a stability-switch analysis framework. This framework enables quantitative analysis of this continuation method and enhances optimization efficiency. Virtual testing is conducted on a single-degree-of-freedom (SDOF) system with nonlinear stiffness coupled to a shaker, replicating fixed frequency voltage continuation. The coupled system exhibits a characteristic force drop-out phenomena and is validated against published experimental literature, showing excellent agreement with published experimental trends. Subsequently, stability-switch analysis elucidates stability differences and connections between the shaker-coupled system and the SDOF system. Crucially, this study reveals that adjusting stinger stiffness expands the range of force levels over which multi-valued responses are all stable in the SDOF system. This adjustment transforms previously unstable responses into stable states. Under these conditions, new force jump and force drop-out phenomena emerge during voltage continuation. This research provides valuable references for designing nonlinear dynamic experiments.
Keywords:
stability-switch analysis
shaker voltage-based continuation
nonlinear model updating
unstable responses
force drop-out
Journal
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8.9
Papers:
1.3W
Citations:
6.6W