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| Dynamic Reconstruction and Refined Design of a Nonlinear Vibration Isolator Based on Double-Layer Conical Kresling Origami |
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Abstract To meet the vibration isolation demands of low-orbit panel-type satellite equipment subjected to low-frequency and large-amplitude excitations, this study proposes a dynamic reconstruction method and a refined design framework for a double-layer conical Kresling-origami vibration isolator. The potential-energy model of a single-layer conical unit indicates that, as geometric parameters vary, the energy landscape may evolve from a single-well to a double-well form, implying multistability and negative-stiffness-induced nonlinearity. By matching positive and negative stiffness, a quasi-zero-stiffness (QZS) isolator with high-static–low-dynamic characteristics can be realized. However, quasi-static cyclic compression–tension tests conducted on origami isolators with different parameters reveal that, in addition to strong nonlinearity, pronounced hysteresis occurs during large deformation, indicating that dynamic models based on the rigid-origami assumption cannot accurately describe the actual response. To address this issue, an equivalent dynamic model is reconstructed via sparse identification. Small-amplitude vibration tests are used to identify the damping and linear stiffness parameters. A physics-based hysteresis model is then employed as a surrogate to extract and classify response features, and an equivalent governing equation incorporating both nonlinearity and hysteresis is finally obtained through sparse identification. Based on the reconstructed model, refined tuning is performed by matching a positive-stiffness elastic element and optimizing the preload, resulting in a prototype with a wide QZS region. Performance tests demonstrate that the proposed isolator maintains an effective isolation onset frequency of 2 Hz under low-frequency, large-amplitude excitation. The present work provides a new technical route for the refined design and engineering application of vibration isolators incorporating negative-stiffness elements.To meet the vibration isolation demands of low-orbit panel-type satellite equipment subjected to low-frequency and large-amplitude excitations, this study proposes a dynamic reconstruction method and a refined design framework for a double-layer conical Kresling-origami vibration isolator. The potential-energy model of a single-layer conical unit indicates that, as geometric parameters vary, the energy landscape may evolve from a single-well to a double-well form, implying multistability and negative-stiffness-induced nonlinearity. By matching positive and negative stiffness, a quasi-zero-stiffness (QZS) isolator with high-static–low-dynamic characteristics can be realized. However, quasi-static cyclic compression–tension tests conducted on origami isolators with different parameters reveal that, in addition to strong nonlinearity, pronounced hysteresis occurs during large deformation, indicating that dynamic models based on the rigid-origami assumption cannot accurately describe the actual response. To address this issue, an equivalent dynamic model is reconstructed via sparse identification. Small-amplitude vibration tests are used to identify the damping and linear stiffness parameters. A physics-based hysteresis model is then employed as a surrogate to extract and classify response features, and an equivalent governing equation incorporating both nonlinearity and hysteresis is finally obtained through sparse identification. Based on the reconstructed model, refined tuning is performed by matching a positive-stiffness elastic element and optimizing the preload, resulting in a prototype with a wide QZS region. Performance tests demonstrate that the proposed isolator maintains an effective isolation onset frequency of 2 Hz under low-frequency, large-amplitude excitation. The present work provides a new technical route for the refined design and engineering application of vibration isolators incorporating negative-stiffness elements.
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Received: 29 December 2025
Published: 28 October 2026
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Corresponding Authors:
Xiuting -Sun
E-mail: 05mech_sunxiuting@tongji.edu.cn
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2026, Vol. 47 
