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Random vibrations of a structure modified by damped absorbers
Probabilistic Engineering Mechanics ( IF 2.6 ) Pub Date : 2021-06-26 , DOI: 10.1016/j.probengmech.2021.103151
Monika Podworna , Paweł Sniady , Jacek Grosel

The problem of reducing the level of vibrations in various constructions has been considered for many years. This is an important element of analyzing the technical condition of buildings and the comfort of users. Various ways and means of preventing unacceptable vibrations are known and the search for an optimal absorber is still ongoing. Different kinds of vibration absorbers are applied for reducing the vibration level in various engineering structures. Vibrations caused by traffic do not pose a threat to a structure, but are often a nuisance for people. There is a need to reduce them, especially in cities where there is more traffic. In order to be able to analyze an excited structure, traffic was modeled. A model that is a structure and an absorber system with two degrees of freedom is proposed in the paper. The first eigenfrequency of the structure was included in the analysis. As a result, the authors obtained closed equations of motion. The work examines the problem of the absorber effect on the vibrations of traffic-induced structures. It was assumed that the shocks occurring at random moments, and which form the Poisson process, are determined by random amplitude, a deterministic shape function and two different forms of envelope functions. The problem was discussed in the field of correlation theory and spectral density function. Numerical analysis of the displacement of the two-degree system is considered.



中文翻译:

阻尼减振器改进结构的随机振动

多年来,人们一直在考虑在各种结构中降低振动水平的问题。这是分析建筑物技术状况和用户舒适度的重要元素。防止不可接受的振动的各种方式和手段是已知的,并且对最佳吸收器的搜索仍在进行中。不同种类的减振器用于降低各种工程结构的振动水平。交通引起的振动不会对结构构成威胁,但通常会给人们带来麻烦。有必要减少它们,尤其是在交通拥堵的城市。为了能够分析受激结构,对交通进行了建模。文中提出了一个具有两个自由度的结构和吸波系统模型。结构的第一个特征频率包括在分析中。结果,作者获得了闭合的运动方程。这项工作研究了吸收器对交通诱导结构振动的影响问题。假设在随机时刻发生并形成泊松过程的冲击由随机幅度、确定性形状函数和两种不同形式的包络函数确定。该问题在相关理论和谱密度函数领域进行了讨论。考虑了二度系统位移的数值分析。假设在随机时刻发生并形成泊松过程的冲击由随机幅度、确定性形状函数和两种不同形式的包络函数确定。该问题在相关理论和谱密度函数领域进行了讨论。考虑了二度系统位移的数值分析。假设在随机时刻发生并形成泊松过程的冲击由随机幅度、确定性形状函数和两种不同形式的包络函数确定。该问题在相关理论和谱密度函数领域进行了讨论。考虑了二度系统位移的数值分析。

更新日期:2021-07-01
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