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首页> 外文期刊>Earthquake Engineering & Structural Dynamics >Linear models with nearly frequency independent complex stiffness leading to causal behaviour in time domain
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Linear models with nearly frequency independent complex stiffness leading to causal behaviour in time domain

机译：具有几乎与频率无关的复杂刚度的线性模型导致时域因果行为

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摘要

In the paper, several causal linear models leading to nearly frequency independent complex stiffness are studied in time and frequency domains. Along with Biot model other three hereditary models are introduced into analysis. They all ensure practical constancy for damping properties but have limitations concerned with an increase in the real part of complex stiffness of corresponding material elements, as frequency grows. A new suggested method deals with given mechanical system as a whole: the imaginary part of the system compliance is constructed assuming that all elements have constant stiffness (with a modification for imaginary parts near zero frequency) and further the imaginary part of the system is used directly for studying transient vibrations supposing causality of the given mechanical system. The corresponding real part (not needed in the transient response analysis) is determined by Hilbert transformation. Examples relating to systems with one, two and infinite (shear beam) degrees of freedom are carried out for five compared models, allowing to reveal advantages and shortcomings of the models.
机译：在本文中，研究了在时域和频域中导致几乎与频率无关的复杂刚度的几种因果线性模型。与Biot模型一起，将其他三个遗传模型引入分析。它们都确保了阻尼特性的实用恒定性，但是随着频率的增加，与相应材料元素的复杂刚度的实部增加有关的局限性受到限制。一种新的建议方法从整体上处理给定的机械系统：假设所有元素都具有恒定的刚度（对零频率附近的虚部进行了修改），则构造了系统柔量的虚部，并且进一步使用了系统的虚部直接用于研究假定给定机械系统因果关系的瞬态振动。相应的实部（瞬态响应分析中不需要）由希尔伯特变换确定。对五个比较模型进行了与具有一个，两个和无限（剪切梁）自由度的系统有关的示例，从而揭示了该模型的优点和缺点。

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