تحلیل ارتعاشات آزاد دو تیرخمیده متصل شده به یکدیگر با تیرهای میانی ساخته شده از مواد مدرج تابعی متخلخل

The analysis of structures has always been of interest to researchers in various engineering fields, such as civil engineering, mechanical engineering, and aerospace engineering. In the past, the focus was primarily on the analysis of simple structures, such as a straight or curved beam. However, in practice, the structures used consist of multiple simple components, making the analysis of these complex structures significantly important. In this paper, the free vibration analysis of a structure made from functionally graded porous materials is carried out using ANSYS software. The structure consists of two curved beams connected by intermediate beams, and the Young’s modulus, density, and shear modulus are distributed nonlinearly along the thickness of the beams. Three types of distributions such as symmetric, asymmetric, and continuous are examined for the structure. Various cases are studied by altering parameters such as porosity coefficient, boundary conditions, and beam thickness for all three types of distribution.