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首页> 外文会议>7th Biennial Conference on Engineering Systems Design and Analysis 2004(ESDA 2004) vol.1: Advanced Energy Systems; Advanced Heat Transfer in Engineering Systems; ... >ANALYTICAL AND EXPERIMENTAL FREE VIBRATION ANALYSIS OF UNIFORM CRACKED THICK BEAM ON TWO-PARAMETER ELASTIC PARTIAL FOUNDATION
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ANALYTICAL AND EXPERIMENTAL FREE VIBRATION ANALYSIS OF UNIFORM CRACKED THICK BEAM ON TWO-PARAMETER ELASTIC PARTIAL FOUNDATION

机译：两参数弹性局部地基上均匀裂隙厚梁的分析与试验自由振动分析

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摘要

In this study, the analytical and experimental free vibration analysis of rectangular cross-section uniform cracked thick beam on two-parameter vibration and noise isolating elastic foundation, considering shear deformation and rotatory inertia is made by the finite element method. The beam element in our study is a recently introduced 4 degrees of freedom thick beam element and has two nodes with two degrees of freedom at each node such as transverse displacements and cross-section rotations. Two kinds of end conditions, i.e. clamped-clamped and clamped-free ends are considered in this study. Axial displacement of the beam is also considered. For axial displacement of the beam, linear finite elements are used. The elastic foundation is idealized as a constant two-parameter model characterized by two moduli, i.e. the Winkler foundation modulus k and the shear foundation modulus k_G. In the case k_G = 0, this model reduces to the Winkler model, i.e. the elastic foundation is idealized as a constant one-parameter model. The effects of foundation stiffness parameters, partial elastic foundation and crack changing its depth on the natural frequencies of the beam are examined. The effect of partial elastic foundation on the natural frequencies of the beam is examined for only half of the beam length. The crack is in the middle of the beam and only on one side of the beam having a form of open crack. In the analytical analysis, the spring coefficients of the crack are calculated in the computer program and then directly added to the stiffness matrix. The crack model used in this study is mentioned as a linear spring model in the literature. The crack modeled is in the middle of the beam and the related spring constants of rotational and extensional springs, which will be used, are added to the global matrix in the process. In the experimental analysis, steel and hard plastic beam are used as the beam material. Moreover, sponge and glass wool, which are manufactured by Petkim Ltd., are used as the isolating elastic foundation material. The results obtained from the analytical and experimental studies are presented by showing in tables and graphs and their importance in design is discussed. The analytical and experimental results and comparisons show the efficiency and effectiveness of the proposed method.
机译：本文采用有限元方法，在考虑剪力变形和转动惯量的基础上，对矩形截面均布开裂的厚梁在两参数隔振隔振弹性基础上进行了分析和实验的自由振动分析。我们研究中的梁单元是最近引入的4自由度厚梁单元，它具有两个节点，每个节点具有两个自由度，例如横向位移和横截面旋转。在本研究中考虑了两种端部条件，即，夹紧端和自由端。还考虑了梁的轴向位移。对于梁的轴向位移，使用线性有限元。弹性基础被理想化为一个恒定的两参数模型，该模型具有两个模量，即Winkler基础模量k和剪切基础模量k_G。在k_G = 0的情况下，此模型简化为Winkler模型，即将弹性基础理想化为恒定的一参数模型。研究了基础刚度参数，部分弹性基础和裂缝深度变化对梁固有频率的影响。仅对梁长度的一半检查了部分弹性地基对梁固有频率的影响。裂纹在梁的中间，并且仅在梁的一侧具有开放裂纹的形式。在分析分析中，在计算机程序中计算裂缝的弹簧系数，然后将其直接添加到刚度矩阵中。本研究中使用的裂纹模型在文献中被称为线性弹簧模型。建模的裂纹位于梁的中间，并将在过程中将要使用的相关旋转弹簧和拉伸弹簧的弹簧常数添加到全局矩阵中。在实验分析中，钢和硬塑料梁用作梁材料。此外，使用由Petkim Ltd.制造的海绵和玻璃棉作为隔离弹性基础材料。通过分析和实验研究获得的结果以表格和图表的形式展示，并讨论了它们在设计中的重要性。分析和实验结果以及比较结果表明了该方法的有效性和有效性。

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