Investigating a problem from the theory of elasticity for a half-space with cylindrical cavities for which boundary conditions of contact type are assigned
Journal Title: Восточно-Европейский журнал передовых технологий - Year 2018, Vol 4, Issue 7
Abstract
<p>When designing spatial structures, it is necessary to know the stressed-strained state of a body. These problems include the calculation schemes, in which there is a half-space with cylindrical cavities, at the boundaries of which the contact type conditions are assigned. The segment of such problems is not enough researched and requires further attention.</p><p>The analytical and numerical algorithm for solving a special problem of the theory of elasticity for a half-space with cylindrical cavities was proposed in this paper. Radial displacements and tangential stresses are assigned at the boundaries of cavities, and one of the two types of the boundary conditions – displacement or stress – is assigned at the half-space boundary. Calculations revealed the stressed-strained state of the half-space.</p><p>Under the fixed geometrical conditions, a numerical analysis of the three variants of the problem, when displacements are assigned at the half-space boundary, and of the tree variants of the problem, when stresses are assigned at the half-space boundary, was conducted. A comparative analysis of the variants with different boundary conditions was carried out.</p><p>It was found that at the boundary conditions of the contact type, assigned at the boundaries of cylindrical cavities, if the assigned displacement function and the assigned function of stresses are the same, the boundary conditions at the half-space boundary in the form of stresses have more influence of the stressed state that boundary conditions in the form of displacements. It was also established that at different kinds of the assigned boundary conditions (stresses or displacements), stresses o and on the surface of applying such conditions change for the opposite, that is, from stretching to compressing and vice versa.</p><p>The presented analysis can be used during designing the structures, in the calculation schemes of which there is a half-space boundary with boundary conditions of the contact type, assigned on it, and cylindrical cavities, on the surfaces of which displacements and stresses are assigned.</p>
Authors and Affiliations
Vladimir Protsenko, Vitaly Miroshnikov
Keywords
Related Articles
- EP ID EP528095
- DOI 10.15587/1729-4061.2018.139567
- Views 68
- Downloads 0
The study of multicomponent loading effect on thinwalled structures with bolted connections
<span lang="EN-US">Features of influence of various factors on the stress-strain state of composite thin-walled structures with bolted connection of separate elements were studied on an example of the test problem. As an...
Anionic carbonate activation of layered (α+β) nickel hydroxide
<p>Nickel hydroxide is widely used as the active material in supercapacitors. Samples of Ni(OH)<sub>2</sub> with the (α+β) layered structure, synthesized in the slit-diaphragm electrolyzer, are the most active. The possi...
Investigation of the properties of Ni(OH)2 electrochrome films obtained in the presence of different types of polyvinyl alcohol
<p class="1">Electrochromic films were prepared by cathodic template synthesis in the presence of two types of polyvinyl alcohol: with the hydrolysis degree of 99 % and 85 %. The prepared films show differences in struct...
Development of a procedure for determining the basic parameter of aquatic ecosystems functioning ‒ environmental capacity
<p>Environmental capacity as the main parameter of functioning of aquatic ecosystems was studied. This parameter is an effective indicator of violation of structural and functional processes in the technogenically altere...
On stability of the dual-frequency motion modes of a single-mass vibratory machine with a vibration exciter in the form of a passive auto-balancer
<p>By employing computational experiments, we investigated stability of the dual-frequency modes of motion of a single-mass vibratory machine with translational rectilinear motion of the platform and a vibration exciter...