SOME PECULIARITIES OF COMPUTER MODELING OF A BENDING OF ELASTIC CIRCULAR ARCH WITH NOTCH
Journal Title: Комп’ютерне моделювання: аналіз, управління, оптимізація - Year 2019, Vol 1, Issue 1
Abstract
Structures, the modeling of which is reduced to the circular arch scheme, are widely used in complex structures such as dams and ceilings, in the design of load-bearing elements in aircraft and shipbuilding. To solve various technological problems it is often necessary to provide cuts in the thickness of the arch. In this case, when choosing rational parameters of a structure, it is necessary to make multiple recalculations of the elastic bend of the arch; therefore, it is a common practice to use simplified calculation schemes in the problems of structure optimization. Such schemes often do not take into account peculiarities of deformation in an arch with cutouts, stress concentration in such structures, and change in the nature of their bending compared to a solid arch. Such features are especially vividly manifested in arches with a relatively large profile height in a radial direction. Calculation of arch-walls and lightweight arches of welded sheets is reduced to such models. A flat calculation of an elastic circular metal arch with a central semicircular cutout with a different ratio of design parameters under the action of uniform external pressure on it was carried out. The SolidWorks software complex was used for modeling. The dependences of the stress concentration coefficient at an apex of a cutout on the ratio of the dimensions of a cutout and the thickness of an arch, as well as its radius, are obtained. It is shown that the replacement of an arch with a cutout with a solid arch, having a profile height reduced by a cutout radius, in a simplified calculation does not give an idea of the real distribution of forces and displacements and leads to inadequate calculations. The simplified model can be used for preliminary calculations only taking into account the correction factors calculated in the work.
Authors and Affiliations
В. И. Олевский, А. В. Олевский
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