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Evaluation of Rayleigh damping coefficients for laminated rubber bearing using modal analysis / Ahmad Idzwan Yusuf

机译:使用模态分析评估叠层橡胶轴承的瑞利阻尼系数/ Ahmad Idzwan Yusuf

摘要

Laminated rubber bearing is a significant device found in structures such as bridges and buildings. It is used to isolate the foundation and the superstructure from seismic loads. Since it is made up from a combination of rubbers and steel shim plates in alternate layers which make the laminated rubber bearing a complex material, the measurements of damping of the laminated rubber bearing is difficult in practice. Damping is a dissipation of energy or energy losses in the vibration of the structure when the structures are excited with external dynamic loading. An accurate value of damping is very important as damping plays a crucial role in fixing the borderline between stability and instability in many structural systems. A small amount of damping will have a big influence on the systems. Therefore, it is essential to determine the accurate value of damping in structural analysis especially in finite element analysis. Modal analysis is one of the methods that can be used to determine dynamic properties including damping in any structures. Hence, the main objectives of this research are to determine the Rayleigh's damping coefficients, α andβ and to evaluate the performance of the laminated rubber bearing using modal analysis. There are two methods of modal analysis which are the finite element modal analysis and the experimental modal analysis. Initially, the natural frequencies and mode shapes from both methods are compared and validated. When the natural frequencies and mode shapes are well correlated, the damping ratio values from the experimental modal analysis are used to determine the Rayleigh's damping coefficients α and β. The Rayleigh's damping coefficients that have been determined by experiment are then inserted in the finite element modal analysis to evaluate the performance of the laminated rubber bearing in term of natural frequencies, mode shapes, minimum displacement and maximum displacement with the addition of Rayleigh's damping coefficient. Based on the finding, the finite element modal analysis with the added Rayleigh's damping coefficients α and β shows a good agreement with the experimental modal analysis in term of natural frequencies and mode shapes. The value of natural frequencies reduces after the Rayleigh's damping coefficients are added into the finite element modal analysis and the minimum and maximum displacement are found to be unaffected by the Rayleigh's damping coefficients. It can be concluded that modal analysis method can be used to estimate the accurate values of damping ratio and to determine the Rayleigh's damping coefficients α and β as well. The damping ratio of the first mode from the experimental modal analysis can also be used to determine the Rayleigh's damping coefficients α and β.
机译:叠层橡胶轴承是在桥梁和建筑物等结构中发现的重要装置。它用于将基础和上部结构与地震荷载隔离。由于它是由橡胶和垫片板的交替层组成的,它们使层压橡胶轴承成为复杂的材料,因此在实践中很难对层压橡胶轴承的阻尼进行测量。阻尼是在结构受到外部动态载荷激励时在结构振动中的能量耗散或能量损失。阻尼的准确值非常重要,因为在许多结构系统中,阻尼在确定稳定性和不稳定性之间的边界方面起着至关重要的作用。少量的阻尼将对系统产生很大的影响。因此,在结构分析中,尤其是在有限元分析中,确定阻尼的准确值至关重要。模态分析是可用于确定动态特性(包括任何结构中的阻尼)的方法之一。因此,本研究的主要目标是确定瑞利的阻尼系数α和β,并使用模态分析评估叠层橡胶轴承的性能。模态分析有两种方法,即有限元模态分析和实验模态分析。最初,比较和验证了两种方法的固有频率和模式形状。当固有频率和振型良好相关时,来自实验模态分析的阻尼比值将用于确定瑞利的阻尼系数α和β。然后将通过实验确定的瑞利阻尼系数插入到有限元模态分析中,以在固有频率,振型,最小位移和最大位移方面评估层压橡胶轴承的性能,并添加瑞利阻尼系数。基于该发现,在固有频率和振型方面,增加了瑞利阻尼系数α和β的有限元模态分析与实验模态分析显示出很好的一致性。将瑞利的阻尼系数添加到有限元模态分析后,固有频率的值减小,并且发现最小和最大位移不受瑞利的阻尼系数影响。可以得出结论,模态分析方法可用于估计阻尼比的准确值,以及确定瑞利的阻尼系数α和β。来自实验模态分析的第一模式的阻尼比也可以用于确定瑞利的阻尼系数α和β。

著录项

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    Yusuf Ahmad Idzwan;

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  • 年度 2016
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  • 原文格式 PDF
  • 正文语种 en
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