###### Abstract  
Based on the vibration control method and energy harvesting principle in the bridge field, this paper proposes a distributed vibration reduction and energy harvesting method for bridges. Firstly, the analytical solutions of the induced electromotive force, output power and magnetic damping generated by a coil in a magnetic field were deduced through an electromagnetic theory analysis. In addition, the structural vibration equation under the magnetic damping was deduced. Then, a new method of joint simulation and modeling analysis of vibration and energy output was proposed. Finally, the structural vibration reduction and energy output power were analyzed and calculated. The main research results are as follows: by calculating the instantaneous power of the energy collection of the designed circuit, the average instantaneous power collected by the design method is 1.093 \(\times\) 10\({}^{-9}\) W; the initial vibration signal of the target node is obtained through analysis, and the vibration signal of the node before and after applying the electromagnetic damping force is transformed. For the energy analysis, the energy of the acceleration curve before and after the node was calculated to be 3.1048 \(\times\) 10\({}^{8}\) and 3.1044 \(\times\) 10\({}^{8}\), respectively, and the reduction rate of the node vibration energy was 0.01% and 0.02%, respectively. Thus, the feasibility and vibration reduction effect of the designed bridge distributed vibration reduction and energy harvesting method is verified when the electromagnetic damping force is small. This method can provide new ideas for bridge structure vibration reduction and energy harvesting research and is of great significance to the infrastructure construction and utilization of renewable energy. b 2022 22 December 222 222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 2222 222 2222 2222 2  
has attracted more and more attention. According to the principle of energy conversion, vibration energy collectors are mainly divided into electrostatic type, piezoelectric type [2; 3; 4; 5; 6], electromagnetic type [7; 8] and magnetostrictive type [9; 10]. [PERSON] [11] studied the energy collection of the wind-induced vibration of suspension bridges and designed linear and nonlinear electromagnetic energy collectors, respectively. The numerical simulation results show that a series of tuned mass dampers installed on a bridge can form a system with both vibration reduction and energy collection. Its peak power can reach 1.45 W and 3.63 W, respectively. [PERSON] et al. [12] developed a device to extract energy from the vibration of urban infrastructures such as bridges and rails. The actual measurement shows that the average power of the instrument reaches 0.2 \(\upmu\)W under an 8 mg acceleration and 14 Hz vibration frequency. Because the wire is wound in a small part of the cylindrical tube, the power generation of the instrument is very small. [PERSON] et al. [13] studied the applicability of an electromagnetic generator with repulsive stacked magnets, which is mainly used to extract energy from the vehicle-induced vibration of bridges. The actual test and numerical simulation of the real bridge show that the average power can reach 0.12 mW under an acceleration of 0.25 m/s\({}^{2}\) and natural frequency of 4.1 Hz. [PERSON] [14] and others developed an electromagnetic energy acquisition device with a membrane magnet suspension system as the key structure. Under 3 g and 27 Hz sinusoidal excitation, the open circuit voltages of a single planar coil and a winding coil of the model reached 15.7 mV and 11.05 mV, respectively. Under the corresponding 3.6 \(\Omega\) and 1.8 \(\Omega\) load conditions, the load power reached 1.8 \(\upmu\)W and 2.1 \(\upmu\)W. [PERSON] et al. [15] designed and manufactured a multi-frequency distributed energy acquisition device consisting of three permanent magnets, three groups of double-layer copper coils and a support beam made of acrylic material.