Oscillator Response to Modulated Random Excitation
Oscillator Response to Modulated Random Excitation
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发表时间：
1977-08
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通讯作者：
R. Corotis;T. A. Marshall
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文献类型：
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作者：
R. Corotis;T. A. Marshall
作为赫维赛德情况的扩展，针对指数调制稳态激励的情况导出了响应功率谱密度函数的封闭式表达式。当激励调制可以表示为指数项之和时，获得了宽带输入引起的均方响应的简单解析表达式。给出的示例以图形方式比较结构典型振荡器参数的响应和近似地震激励的两种调制。基于二态马尔可夫方法的首次通过概率的数值计算允许对稳态、赫维赛德和指数激励包络进行比较。对于所提供的示例，稳态或准稳态近似不能准确地表示可靠性。
A closed-form expression for the response power spectral density function is derived for the case of exponentially modulated stationary excitation as an extension of the Heaviside case. A simply analytical expression is obtained for the mean-square response due to broad-band input when the excitation modulation can be expressed as the sum of exponential terms. Examples are presented to graphically compare the response for oscillator parameters typical of structures and two modulations approximating earthquake excitation. Numerical calculation of the first passage probabilities based on the two-state Markov approach permits a comparison of the stationary, Heaviside, and exponential excitation envelopes. For the examples presented, stationary or quasi-stationary approximations do not represent the reliability accurately.