# Experiment Investigation of Bistable Vibration Energy Harvesting with Random Wave Environment
## 1 Introduction  
In the past, the research and development of renewable energy sources and other resource utilization is a very important research topic. Many researchers have studied the vibration power generation method in the natural environment and published many research results [1, 2, 3, 4, 5, 6]. Among them, applying the stochastic resonance phenomenon as a possible way to utilize the rich energy contained in complex random waves effectively has attracted much attention. Stochastic resonance is a kind of physical phenomenon. By applying a weak periodic signal to a nonlinear system in a random noise environment, the response of the system is amplified under a certain probability. Stochastic resonance was first proposed by [PERSON] et al. in 1981 to verify the periodicity of the ice age [7]. After that, theoretical research on stochastic resonance has been carried out, and many research results have been published [8, 9, 10, 11]. Stochastic resonance is applied to many new fields, and, in the field of measurement signal processing, the system that detects the weak input signal by using the noise resonance phenomenon by adding noise signal to measure the weak input signal is studied [12, 13, 14, 15]. In the field of computer image processing, it is possible to process the dark image relatively easily by using the stochastic resonance system as an image sensor of the image to clear the dark image [16, 17, 18, 19]. On the other hand, some studies have published the stochastic resonance phenomenon results in which periodic signals and noise signals are simultaneously inputted into nonlinear bistable systems to amplify the system response amplitude [20; 21; 22; 23]. Among them, the most common case is to use the relative repulsive force between the permanent magnet installed at the front of the cantilever beam and the permanent magnet fixed near the cantilever beam to form the bistable vibration model [24; 25; 26; 27; 28]. In addition, the gravity of the mass installed in the front of the inverted cantilever beam is used to form the double stable vibration model [29; 30; 31]. With about, harvesting energy technology will also be used in other vibration fields. [PERSON] et al. [32] proposed as a potential energy source to power wireless sensors by track vibration, it was found that the 7 th trainload frequency had the highest amplitude in four out of the five cases. [PERSON] et al. [33] presented the design, modeling and experimental tests of a novel piezoelectric energy harvester with a two-stage force-amplification compliant mechanism for scavenging energy from human walking. [PERSON] et al. [34] proposed and critically assessed triboelectric nano generators (TENGs) as a promising technology for integration into wave buoys, which opens new horizons and strategies to apply TENGs in marine applications, considering realistic hydrodynamic behaviors of floating bodies. [PERSON] et al. [35] proposed piezoelectric energy harvesting from wind-induced vibration, which is an attractive power solution for the micro electric devices in field work. In order to realize the vibration power generation by using the stochastic resonance of the bistable vibration model, focusing on the vibration of the vehicle tire at low speed, the cantilever beam with a permanent magnet at the front end is installed on the wheel structure, and the random noise generated by the bump of the road surface and the periodicity generated by the rotation of the tire have been published. The research results show that, in the nonlinear bistable energy harmonic system using power as an input signal, from the practical point of view, the power generation device caused by stochastic resonance phenomenon is used as the self-power supply of tire air sensor [36; 37]. However, in the field of renewable energy sources resources utilization, the research results of nonlinear bistable energy harmonic system in random wave environment have not been found by using stochastic resonance phenomenon.