【作者】 马汝建； 王均刚； 赵东；

【Author】 MA Ru-jian, WANG Jun-gang, ZHAO Dong (School of Mechanical Engineering, University of Jinan, Jinan 250022, China)

【机构】 济南大学机械工程学院；

【摘要】 应用非线性谱分析法对大位移单摆在随机载荷作用下的动力响应进行了分析。在假设系统的运动响应是平稳的高斯过程条件下,导出了响应谱密度与激励谱密度的之间的关系,并应用数值计算方法,求得了系统的响应谱密度,进而对系统幅频特性进行了分析。研究表明,幅频特性曲线在固有频率附近,随阻尼比的减小而迅速增加,随固有频率的增加幅值减小,当频率比大于2后变化不明显。更多还原

【Abstract】 The vibration of simple pendulum with large displacement is a kind of nonlinear system. The relationship between spectra of response and excitation is established by nonlinear analysis method under the assumption of the displacement response being a zero-mean Gaussian process, which is proved to be true by numerical simulation. The numerical computation is used to investigate the amplitude-frequency characteristics of the system. The results show that the value of amplitude-frequency characteristics decreases significantly with the increase of natural frequency and damping ratio near the point of frequency ratio being one, and the changes become less notable when the frequency ratio is greater than two.更多还原