Abstract
ABSTRACT. The paper presents an analysis of an isotropic circular axisymmetric perforated plate loaded with concentrated force Pi applied in the geometric center of the plate using finite element software ANSYS. The test plate with diameter D = 300 mm has holes in ten circles. The plate has holes with diameter d1 = 3.5 mm on the first inner circle, and holes on the tenth outside circle have a diameter d10 = 20.5 mm. The plate of the above geometry was free supported and loaded with different values of concentrated force. By means of numerical calculations using the finite element method, the coordinates of concentration zones of reduced stress in the perforated plate were determined. These zones were located on the plate bridges between perforation holes. The most hazardous place in the analyzed perforated plate is associated with the tenth zone Z10 with the hole radius d1 = 3.5 mm at the circle radius R1 = 22.5 mm, where the highest stress concentration occurs. In this zone, the reduced stress is σred max = 416.90 MPa (point with the coordinates x, y, z [mm], i.e. P10 [-69.9; 72.5; 0.0]). The results of numerical calculations were verified with experimental results. The differences between the results of numerical calculations of the state of stress and those obtained experimentally did not exceed 36%.
Highlights
I n engineering practice, a plate construction element is often used in which a series of holes are drilled to form a dense, regular mesh
The aim of the study reported in the present paper is to locate the zones in which maximum stresses occur in a circular axisymmetric perforated plate, free supported and loaded with concentrated force Pi applied in the geometric center of the plate
B ased on numerical calculations using the finite element method (FEM) and experimental research, the results that were obtained could be compared
Summary
I n engineering practice, a plate construction element is often used in which a series of holes are drilled to form a dense, regular mesh. There are many applications of perforated plates, e.g. in a pressure vessel, chemical apparatus (heat exchanger tube walls) [1,2,3,4], oil refineries [5], air units, e.g. construction elements of aircraft and spacecraft, robots, transport containers, box conveyor or as elements of loose material screens, which can be subjected to a load that varies over time [6,7,8,9]. The subject of research in [23,24,25] was the numerical analysis of the state of stress in fixed and free supported, circular axisymmetrical perforated plates loaded centrally with concentrated force or external pressure on the entire surface of the plate. Tests of stress concentration zones were performed numerically using the finite element method
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