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A control strategy using negative stiffness and semi‐active viscous damping for fully tracking active control force for bridge cables: Principles and simulations

High‐energy consumption of an active control system hinders its wide applications for cable vibration control, whereas a semi‐active damper (SD) alone cannot fully produce the target control forces calculated from an active control algorithm. To date, to emulate an active control force using an SD remains challenging due to the clipping phenomenon. Here, we propose a low‐power semi‐active control strategy to fully track active control force by an SD with a passive negative stiffness (NS) device embedded, of which the potential energy will be released at the proper time to project into the vibrating cable for enhancing control performance. The salient feature of the proposed control strategy is to avoid the clipping phenomenon of SD forces via supplying transient power into the cable by the NS device. In this way, the target control forces calculated based on an active control algorithm can be perfectly tracked by the integrated control system. Both the single‐mode and multi‐mode control performances of the proposed control strategy are validated by numerical simulations of a 540‐m‐long stay cable from an actual bridge. Numerical results demonstrate that an SD with an NS embedded provides superior control performance for the stay cable, which is comparable to conventional active control schemes but demands much less power consumption.