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Rheological-dynamical analogy for analysis of vibrations and low cycle fatigue in internally damped inelastic frame structures

机译:流变动力学模拟,用于内部阻尼非弹性框架结构的振动和低周疲劳分析

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This is a study of viscoelastoplastic (VEP) vibrations and their use for the analysis of low cycle fatigue in internally damped inelastic frame structures (IDIFSs). The background of this inelastic theory is presented in the framework of. a mathematical-physical analogy between the rheological model and a dynamical model with viscous damping. The rheological-dynamical analogy (RDA) is a type of inelastic analysis, which transforms one category of material non-linear problems to simpler linear dynamical problems using modal analysis. The aim of this paper is to define internal damping based on both the dynamic modulus and modal damping ratios. The idea underlying these approaches is that fatigue damage appears if internal damping is unevenly distributed over the elements of a structure. The residual force method, which requires the use of the finite element method (FEM), is used for the location of damage and derivation of the fatigue damage vector. Finally, the effective force vector is derived from damage mechanics. An analysis of damaged IDIFSs made of reinforced concrete is carried out. It is shown that the RDA, which correlates with the main mechanical properties of the material measured, can improve the prediction of fatigue damage caused by low cycle fatigue. (C) 2017 Elsevier Ltd. All rights reserved.
机译:这是对粘弹塑性(VEP)振动及其在内部阻尼非弹性框架结构(IDIFSs)中的低周疲劳分析中的应用的研究。这种非弹性理论的背景是在框架内提出的。流变模型和具有粘性阻尼的动力学模型之间的数学物理类比。流变动力学模拟(RDA)是一种非弹性分析,它使用模态分析将一类材料非线性问题转换为较简单的线性动力学问题。本文的目的是基于动态模量和模态阻尼比来定义内部阻尼。这些方法的基本思想是,如果内部阻尼在结构的各个元素上分布不均匀,则会出现疲劳损伤。残余力法需要使用有限元法(FEM),用于损伤的定位和疲劳损伤矢量的推导。最后,有效力矢量是从损伤力学中得出的。对由钢筋混凝土制成的受损IDIFS进行了分析。结果表明,RDA与被测材料的主要机械性能相关,可以改善由低周疲劳引起的疲劳损伤的预测。 (C)2017 Elsevier Ltd.保留所有权利。

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