###### Abstract
When the vibration amplitude between the magnet and the coil was 14 \(\upmu\)m and the gap was 0.4 mm, the maximum output voltage and power corresponding to the first and second vibration modes were 1.38 mV-0.6 \(\upmu\)W and 3.2 mV-3.2 \(\upmu\)W, respectively. The magnetostrictive energy collector collects energy based on the magnetostrictive effect of materials. When subjected to an external mechanical vibration force, the magnetization and external magnetic field of a material will change, and an induced electromotive force will be generated in the energy pickup coil. [PERSON] [16] and others developed a beam structure vibration energy collector with a magnetostrictive material and pickup coil winding based on strain energy. The results show that the output power of the collector can reach 9.4 mW under basic excitation. [PERSON] [9] and others conducted experimental research on a magnetostrictive energy acquisition device and proposed a more effective model definition method. [PERSON] et al. [10] developed a magnetostrictive and electromagnetic combined vibration energy collector, which generates 5.3 mW, 2.57 mW, and 0.27 mW of power respectively when excited by 0.9 g, 0.7 g, and 0.4 g. [PERSON] et al. [17] designed an adjustable beam magnetostrictive collector based on the Terfenol-D alloy. [PERSON] et al. [18] designed a magnetostrictive vibration energy collector containing a Galfenol rod, coil and bias magnetic field. Compared with the traditional piezoelectric cantilever, the collector has better robustness and higher efficiency. [PERSON] et al. [19; 20] believe that structural vibration control and energy recovery can be achieved by using a Tuned Mass Damper (TMD). They replaced the viscous energy dissipation elements between the TMD and the main system with electromagnetic transducers and optimized the parameters of vibration suppression and energy acquisition using a gradient-based method. [PERSON] et al. [20] modeled and analyzed a distributed electromagnetic oscillator with wide-band damping and concurrent energy acquisition. [PERSON] et al. [21] investigated the feasibility and effectiveness of synchronous vibration control and energy acquisition using an energy regenerative TMD in high-rise buildings. There are relatively few studies on bridge vibration control and energy collection and power supply at the same time. Therefore, this research is composed of mainly two aspects: on the one hand, it is concerned with the aspect of bridge vibration control to dissipate energy with the help of control systems; on the other hand, bridge vibration energy collection is studied, and the bridge vibration energy is collected to supply power for sensors. Theoretical Analysis of Distributed Vibration Reduction and Electromagnetic Energy Collection for Bridges  
A distributed vibration reduction and energy collection system for bridges was designed in this paper. The schematic diagram is shown in Figure 1. Its core is an array coil permanent magnet structure. In order to realize the sensing function, corresponding sensor elements, a microprocessor, digital-to-analog conversion, a radio frequency module, etc., are also needed, which were not considered in this research. The vibration reduction effect of bridge electromagnetic energy harvesting is closely related to the bridge structure and magnetic field distribution. Combined with the principle of bridge vibration and electromagnetic field distribution, the following analysis was carried out. The energy of the system comes from the movement of the coil in the permanent magnet magnetic field to cut the magnetic induction line and generate the induced electro-motive force, which converts the mechanical energy of the bridge structure vibration into electrical energy. In this process, if the coil forms a loop, an induced current is generated in the coil, and the coil is subjected to an ampere force in the magnetic field of the permanent magnet due to the existence of the induced current.