#5704. A theory for bistable vibration isolators

July 2026publication date
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Journal’s subject area:
Civil and Structural Engineering;
Aerospace Engineering;
Control and Systems Engineering;
Mechanical Engineering;
Computer Science Applications;
Signal Processing;
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Abstract:
Bistable structures have been widely used for vibrational energy harvesting, the corresponding potential vibration isolation application has also received attention recently. This paper presents a general theory for bistable vibration isolators (BVIs) and reveals the bistable vibration isolation mechanism. The nonlinear restoring force and potential energy are obtained through analyzing the general model of BVIs with “three-spring” quasi-zero stiffness (QZS) model. The generalized force and displacement transmissibilities of BVIs are deduced. The theoretical and numerical transmissibilities are calculated. A feasible model of BVIs is applied to quantitatively verify the advantages of BVIs in vibration isolation.
Keywords:
Bistable; Bistable vibration isolation; Negative stiffness; Nonlinear vibration; Snap-through

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