Abstract
The problem of dynamic deformation of structures damping elements made of metal hollow spheres (MHS) filler is considered. MHS filler is a porous material obtained by joining homogeneous metal hollow spheres. The MHS filler is modeled by a continually homogeneous, orthotropic, physically nonlinear medium. The solution of the determining equation system is based on the finite element method moment scheme and the explicit finite-difference time integration “cross” type scheme. The problem of stability loss and supercritical behavior of a titanium spherical shell under compression loading between two non-deformable plates approaching with a constant velocity is considered. According to the problem numerical solution results, the dependence of the contact force on the plates movement was built, on the basis of which the deformation diagram and the parameters of the MHS filler mathematical model of the were determined. The problem of plate falling on a spherical shells’ set located on a fixed base is solved using the obtained data. As it is shown by the calculation results analysis, the developed computational model allows to determine with acceptable accuracy the integral deformation parameters of the MHS filler (contact forces, displacements, displacement velocities) and to evaluate its damping properties.
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Acknowledgements
The work is financially supported by the Federal Targeted Program for Research and Development in Priority Areas of Development of the Russian Scientific and Technological Complex for 2014–2020 under the contract No. 075-15-2019-1702 (unique identifier RFMEFI60519X0183).
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Demareva, A.V., Kibets, A.I., Skobeeva, M.V., Savichin, O.G., Lyakhov, A.F. (2021). Finite Element Method Study of the Protection Damping Elements Dynamic Deformation. In: dell'Isola, F., Igumnov, L. (eds) Dynamics, Strength of Materials and Durability in Multiscale Mechanics. Advanced Structured Materials, vol 137. Springer, Cham. https://doi.org/10.1007/978-3-030-53755-5_4
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