频率涨落线性谐振子在简谐激励下的随机共振

On stochastic resonance of linear harmonic oscillator with frequency fluctuation in simple harmonic excitation

研究了线性谐振子在固有频率存在白噪声的情况下受到简谐激励后的系统输出响应.计算出一阶矩的解析表达式后发现:输出响应是简谐振动,振动频率是激励力的频率,振幅随简谐激励力频率和固有频率的变化均出现随机共振.

In this paper we have done some research on the system output response of the linear harmonic os- cillator in the natural frequency exists the white noise and the simple harmonic excitation conditions. We have found out that the output response is a simple harmonic vibration, and the vibration frequency is an excitation force frequency. The amplitude shows stochastic resonances with the variations of the frequency of the simple har- monic excitation force and the natural frequency via the calculation of the analytic expressions of the first - order moment.