Mechanical analysis and performance of a resilient biasing device with a Fibonacci spiral architecture

Mechanical springs have long been integral to technological systems, yet conventional designs often overlook the potential of natural geometries. Inspired by the golden ratio and the Fibonacci spiral, this study presents a novel resilient biasing device (International Patent No. WO2025/027292A1). The device introduces a fundamentally new spring architecture, offering unique mechanical properties not found in traditional spring forms. This paper investigates its mechanical performance using experimental testing, closed-form analytical modelling, and finite element simulations under both static and dynamic conditions. Results demonstrate that the resilient biasing device provides multidirectional stiffness and effective vibration isolation, with tuneable mechanical characteristics through geometric and material adjustments. New analytical expressions were derived for key parameters, including stiffness, maximum allowable displacement and force, elastic energy, specific elastic energy, and natural frequency. These models enable efficient early-stage design and reducing lead times in product development. Prototypes incorporating the device were developed to validate its broad applicability across comfort-focused products, suspension and actuation systems, energy storage and harvesting devices, impact mitigation solutions, sensors, fasteners, and valve technologies. Overall, the findings reveal that integrating Fibonacci-inspired geometry into spring design can unlock novel performance capabilities, positioning this innovation as a promising advancement in mechanical engineering.