Simulating Plate Frequency Response Using Micromolecules

The adherence to the deformation-continuity hypothesis may retard development of mechanics; but the particle approach is free from this hypothesis. The current state of development of the particle approach may be evaluated by the articles published in the Computational Particle Mechanics journal, established in 2013, and the works of biennial international conferences organized by the International Centre for Numerical Methods in Engineering (Barcelona, Spain). Unfortunately, the vast majority of these studies are in the area of mechanics of granulated bulk materials and fluids. Works on solid mechanics are practically unavailable. At the same time, the particle approach has enormous potential in the solid mechanics application area: fracture mechanics, crack propagation, heat exchange, changes of the material aggregate state (3D-printing), mechanical metal-working, etc. The so-called macromolecule approach, representing a variation of the particle approach, is discussed in this paper. The macromolecule-model simulation results obtained using the plate frequency response experiment are presented. The studies have shown that the experiment results, the results obtained using the MSC Nastran certified software, and the macromolecule-model simulation results are in a good agreement.

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