Analysis of the stress-strain state of bearing layer bushings under static load
DOI:
https://doi.org/10.46299/j.isjea.20240303.05Keywords:
Layer with cylindrical inclusions, fibrous composite, generalized Fourier methodAbstract
The method is proposed for solving the spatial problem of elasticity theory for a layer on embedded cylindrical supports with bushings. The bushings are considered to be thick-walled tubes. Stresses are given on the flat surfaces of the layer, and displacements are given on the inner surfaces of the tubes. The connection conditions between the layer and the tubes are specified in the form of a rigid connection. The materials of the layer and the tubes are elastic, homogeneous, with different physical and mechanical properties. The layer and the tubes are considered in different local coordinate systems (Cartesian and cylindrical). The Lame equation is used to solve the problem. The combination of basic solutions of the Lame equation in different coordinate systems is carried out using the analytical-numerical generalized Fourier method. Satisfying the boundary conditions and conjugation conditions, a system of linear algebraic equations of the second kind is created, to which the reduction method is applied. Numerical analysis showed high convergence of the results to the exact ones (the accuracy of fulfilling the boundary conditions was 10-5 at the order of the system of equations m = 4 for values from 0 to 1). The analysis of the stressed state was carried out for a plastic bushing of different thicknesses and a layer made of aluminum alloy D16T. The results obtained show that with a decrease in the inner radius of the bushing, the stresses on its surface increase significantly, which should be taken into account when using materials with low physical and mechanical characteristics. The proposed method can be used to obtain high-precision results when designing connections of parts of machines and mechanisms, the model of which is a layer on embedded cylindrical supports with bushings. The numerical results obtained can be used to predict geometric parameters during design.References
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Copyright (c) 2024 Oleksandr Denshchykov, Iaroslav Grebeniuk, Oleksandr Savin, Vitaly Miroshnikov
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