Parametric and autoparametric vibrations of an elevated water tower, part I: Non-linear parametric response
Parametric and autoparametric vibrations of an elevated water tower, part I: Non-linear parametric response
复制标题
高架水塔的参数和自参数振动，第一部分：非线性参数响应
DOI：
10.1016/s0022-460x(88)80366-3
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发表时间：
1988
影响因子：
4.7
通讯作者：
A. Soundararajan
中科院分区：
文献类型：
--
作者：
R. Ibrahim;J. Gau;A. Soundararajan
研究了高架水塔在基础简谐竖向运动作用下的非线性动力响应。该数学模型包括一种液体晃动模式和一种结构模式的相互作用。利用渐近展开的Struble方法确定了参数共振的条件和相应的系统响应。在第一阶简正波的主参数共振条件下，系统响应具有硬非线性系统的特征。另一方面，当第二简正波被参数激励时，响应呈现出软非线性系统的特征。发现在总和型的组合参数共振下发生参数简正模相互作用，而在差分型下不存在参数简正模相互作用。没有差分型组合共振时系统响应的主要原因是线性化后的系统在这种情况下总是参数稳定的。
The non-linear dynamic response of an elevated water tower subjected to a prescribed harmonic vertical motion of its base is examined. The mathematical model includes the interaction of one liquid sloshing mode with one structural mode. The Struble method of asymptotic expansion is used to determine the conditions of parametric resonance and the corresponding system responses. Under the condition of principal parametric resonance of the first normal mode the system response is found to possess the characteristics of hard non-linear systems. On the other hand, the response exhibits the characteristics of soft non-linear systems when the second normal mode is parametrically excited. The parametric normal mode interaction is found to take place under the combination parametric resonance of the summed type while it does not exist for the difference type. The absence of the system response at combination resonance of the difference type is mainly attributed to the fact that the linearized system is always parametrically stable at this condition.