Київський Вісник Київського національного університету імені Тараса Шевченка / Київський, університет імені національний; редкол.: голов. ред. Анісімов А.В. ; Хусаінов Д.Я., Arturs Medvids, Miklos Ronto [та ін.]. - Київ, 2016
Анотація:
Розглянута задача про осесиметричне кручення тонкого кільця. Наведені вирази для компонент вектора зміщень та тензора напружень. Знайдено жорсткість на кручення кільця довільного профілю. Результати апробовані за допомогою моделювання методом скінченнихелементів.
The paper deals with the problem concerning the axisymmetric torsion of thin rings. An assumption about flat rigid cross-section was used. The distributions of displacements and stresses throughout such ring are given. It was appeared that the circumferential stress component is much greater than the radial, the longitudinal or any tangential one. The expression for the torsional stiffness of a ring with general view of cross-section was obtained. It generalizes the known expressions for the circular and rectangular crosssections. The obtained results are approved with help of numerical calculation by the finite element method. The calculation was performed for the ring with circular cross-section, for the ring with rectangular crosssection and for the ring of the heat exchanger flange. It is appeared that the deviation between the analytical and the numerical results is under five per cent if the cross-section overall size is under twenty per cent of the ring radius. The presented ana&lytical relations provide easy way for flange dimensioning and can be useful in the flange coupling designing.
