Numerical solution of the problem of porous solids vibration

Скорочена інформація про документ
dc.contributor.authorКаrа, І. D.
dc.date.accessioned2020-05-22T12:20:46Z
dc.date.available2020-05-22T12:20:46Z
dc.date.issued2017
dc.description.abstractIn this paper vibration of fluid-saturated porous solids under the equal distribution load is studied using two different approaches. One of them is analytical way. Biot’s equations in terms of displacement, pore pressure, porosity and effective densities are used for one-dimensional column. Using boundary conditions analytical expressions for parameters of stress-strain state: the solid and fluid displacements and stresses are obtained. Another way is Boundary Integral Equation Method. Equilibrium equations for 3-D linear dynamic poroelasticity are presented. Also required components of fundamental solution tensors as weighting displacement fields are obtained and analyzed with the help of the analogy between poroelastisity and thermoelastisity. The solution of the porous solid vibration problem for two types of boundary conditions is presented in the figures. Graphs present the comparison of the normalized solid displacement u3 at the top and normalized pressure σ33 in elastic region and in porous solid of poroelastic region depending on frequency ω that are computed using Boundary Integral Equation and analytical methods. Figures show that graphs of the displacements and pressure in poroelastic and elastic region have the same character but different values. The numerical solution of this problem was calculated using material properties which are corresponding to the Barea Sandstone. It shows that massive porous bodies cannot be modeling as homogeneous elastic media but it is necessary to use two phase model and equations of poroelasticity. Since the agreement between the BEM results and the analytical solution is good so such an approach can be used for development and testing of numerical techniques for analyzing of 3-D porous solids vibration.uk_UA
dc.identifier.citationКаrа І. D. Numerical solution of the problem of porous solids vibration / І. D. Каrа // Опір матеріалів і теорія споруд : наук.- техн. зб. / Київ. нац. ун-т буд-ва і архітектури ; відп. ред. В. А. Баженов. – Київ, 2017. – Вип. 99. – С. 193 - 202. - Бібліогр. : 8 назв.uk_UA
dc.identifier.issn2410-2547
dc.identifier.urihttps://repositary.knuba.edu.ua/handle/987654321/4123
dc.language.isoenuk_UA
dc.publisherКНУБАuk_UA
dc.subjectporous mediauk_UA
dc.subjectboundary integral equationsuk_UA
dc.subjectfundamental solutionuk_UA
dc.subjectforced vibrations of the layeruk_UA
dc.subjectthe department building mechanicsuk_UA
dc.subject.udc539.3uk_UA
dc.titleNumerical solution of the problem of porous solids vibrationuk_UA
dc.typeArticleuk_UA

Файли

Контейнер файлів

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
13-99.pdf
Розмір:
328.38 KB
Формат:
Adobe Portable Document Format
Опис:
Завантажити

Ліцензійна угода

Зараз показуємо 1 - 1 з 1
Ескіз недоступний
Назва:
license.txt
Розмір:
3.67 KB
Формат:
Item-specific license agreed upon to submission
Опис:
Завантажити

Зібрання

Вип. 99