Abstract
This study shows a relationship between natural frequencies and limit cycles of the Matsuoka neural oscillator. A new vibration control method using an active mass damper (called "AMD" for short) and the neural oscillator has been proposed for high-rise buildings excited by earthquakes and winds. In the proposed system, an "Amplitude MAP" was used to decide the target position of the auxiliary mass of the AMD. The Amplitude MAP is a map, which has the amplitude and phase information of input-output of the oscillator and is plotted by using limit cycles of the oscillator with sinusoidal input waves. According to the comparison of current output of the neural oscillator, which has structure's acceleration response as input, with the Amplitude MAP, the instantaneous amplitude information of the structure subjected to the arbitrary external forces like earthquakes can be obtained. However, it is not clear how the Amplitude MAP changes when parameters of the oscillator changes. If the shape of the Amplitude MAP subjected to parameter changes of the oscillator remained static, the proposed map would be enormously beneficial. Therefore, in this paper, the relationship between the oscillator's parameter and the Amplitude MAP was examined to obtain the property. As a result of the examination, it was found that the change of the two time constants of the Matsuoka neural oscillator, which are the parameters to change the natural frequency of the oscillator, did not change the shape of the limit cycle, furthermore, the shrinkage ratio of the Amplitude MAP consisting of the limit cycles was inversely proportional to the increasing of the oscillator's natural frequency.
