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Free vibration analysis of an aluminum beam coated with imperfect and damaged functionally graded material
Archive of Applied Mechanics ( IF 2.8 ) Pub Date : 2021-01-06 , DOI: 10.1007/s00419-020-01850-9
E. F. Erdurcan , Y. Cunedioğlu

In this paper, the free vibration of an aluminum beam coated with imperfect and damaged functionally graded material is investigated. The imperfections consist of porosities, while 4 evenly distributed cracks represent the damage profile. A polynomial function is used to vary the density and elasticity through the thickness of the coating, while the effective elastic modulus and density are found with classical lamination theory. To achieve a truthful modeling, the gradually changing mechanical properties of the coating are modeled with 25 layers of material. The individual layers are isotropic and homogeneous. Numerical solutions are found with the finite element method using Timoshenko beam elements. MATLAB is used to write a finite element code, and the beam natural frequencies are found. To show the influences of porosity, crack depth, coating thickness and the polynomial function index (n) on the natural beam frequencies, a parametric study is conducted. It was found that the natural frequency values were significantly affected by the studied parameters.



中文翻译:

涂有不完善和损坏的功能梯度材料的铝梁的自由振动分析

在本文中,研究了涂覆有不完善和损坏的功能梯度材料的铝梁的自由振动。缺陷由孔隙组成,而4个均匀分布的裂纹代表了损坏情况。多项式函数用于通过涂层的厚度改变密度和弹性,而有效的弹性模量和密度可以通过经典的层压理论找到。为了实现真实的建模,需要使用25层材料对逐渐变化的涂层机械性能进行建模。各个层是各向同性和均质的。使用Timoshenko梁单元的有限元方法可以找到数值解。使用MATLAB编写有限元代码,并找到波束固有频率。为了显示孔隙率,裂纹深度的影响,n)在自然波束频率上,进行了参数研究。发现自然频率值受研究参数的影响很大。

更新日期:2021-01-06
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