The problem of plane bending a direct composite beam of arbitrary cross-section and the prerequisites for its approximate analytical solution

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dc.contributor.authorКовальчук, Станіслав Богданович
dc.contributor.authorГорик, Олексій Володимирович
dc.contributor.authorАнтонець, Анатолій Вікторович
dc.date.accessioned2021-07-06T10:03:15Z
dc.date.available2021-07-06T10:03:15Z
dc.date.issued2021-06
dc.descriptionThe approach to the reduction of the spatial problem of plane bending a composite discrete-inhomogeneous beam of arbitrary cross-section to the approximate two-dimensional bending problem of the equivalent multilayer beam has been discussed here. The result is represented in the form of relations for determination the characteristics of the equivalent multilayer structure by physical and mechanical materials characteristics of the original beam's phases and the system of static, geometric and physical relations of the corresponding two-dimensional problem. The obtained equations are similar to the plane problem equations of the elasticity theory, but instead of stresses, they contain internal efforts consolidated to the main plane of the beam. The equations of the approximate two-dimensional problem were used to solve the problem of static bending a composite console of arbitrary structure with a load on the free end, taking into account the uniform change of the temperature field. The given system of equations and relations is the starting point for the construction of non-classical deformation models and solving a wide range of problems concerning the deformation of a direct composite beams.uk_UA
dc.identifier.doi10.1088/1757-899X/1164/1/012025
dc.identifier.urihttps://dspace.pdau.edu.ua/handle/123456789/11009
dc.subjectmultilayer beamuk_UA
dc.subjectplane bendinguk_UA
dc.subjectanalytical solutionuk_UA
dc.subjectstressuk_UA
dc.subjectstrainsuk_UA
dc.subjectdisplacementuk_UA
dc.subjectбагатошаровий брусuk_UA
dc.subjectплоский згинuk_UA
dc.subjectаналітичний розв'язокuk_UA
dc.subjectнапруженняuk_UA
dc.subjectдеформаціїuk_UA
dc.subjectпереміщенняuk_UA
dc.subjectмногослойный брусuk_UA
dc.subjectплоский изгибuk_UA
dc.subjectаналитическое решениеuk_UA
dc.subjectнапряженияuk_UA
dc.subjectдеформацииuk_UA
dc.subjectперемещенияuk_UA
dc.titleThe problem of plane bending a direct composite beam of arbitrary cross-section and the prerequisites for its approximate analytical solutionuk_UA
dc.typeArticleuk_UA
local.department4.4 Кафедра загальнотехнічних дисциплінuk_UA
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