Major Stress-Strain State of Double Support Multilayer Beams Under Concentrated Load. Part 2. Model Implementation and Calculation Results

dc.contributor.authorКовальчук, Станіслав Богданович
dc.contributor.authorГорик, Олексій Володимирович
dc.date.accessioned2019-04-08T18:30:21Z
dc.date.available2019-04-08T18:30:21Z
dc.date.issued2019-04
dc.description.abstractThe development of composite technologies contributes to their wide introduction into the practice of designing modern different-purpose structures. Reliable prediction of the stress-strain state of composite elements is one of the conditions for creating reliable structures with optimal parameters. Analytical theories for determining the stress-strain state of multilayer rods (bars, beams) are significantly inferior in development to those for composite plates and shells, although their core structural elements are most common. The purpose of this paper is to design an analytical model for bending double support multilayer beams under a concentrated load, with the model based on the previously obtained elasticity theory solution for a multilayer cantilever. The second part of the article contains examples of the implementation of the model for bending double-support multilayer beams under a concentrated load, with the model constructed in the first part of the article. Using this model, solutions to the problems of bending multilayer beams with different types of fixation of their extreme cross-sections were obtained. The resultant relations were approbated using test problems for determining the deflections of homogeneous composite double-support beams with different combinations of fixation, as well as in determining the stresses and displacements of a four-layer beam with a combination of a rigid and hinged fixation at its ends. The results obtained have a slight discrepancy with the simulation results by the finite element method (FEM) and the calculation by the iterative model for bending composite bars, even for relatively short beams. In addition, it is shown that the neglect of the shear amenability of layer materials results in large errors in determining the deflections, and in the case of statically indefinable beams, reactive forces and stresses. The approach used in the construction of the model can be extended to the case of beams with arbitrary numbers of concentrated forces and intermediate supports, and to calculate multilayer beams with different rigidity of their design sections.uk_UA
dc.identifier.doihttps://doi.org/10.15407/pmach2019.01.024
dc.identifier.urihttps://dspace.pdau.edu.ua/handle/123456789/4833
dc.language.isoen_USuk_UA
dc.publisherІнститут проблем машинобудування ім. А.М. Підгорногоuk_UA
dc.relation.ispartofseriesJournal of Mechanical Engineering;22(1)
dc.subjectmultilayer beamuk_UA
dc.subjectorthotropic layeruk_UA
dc.subjectconcentrated loaduk_UA
dc.subjectdeflectionuk_UA
dc.subjectstressesuk_UA
dc.subjectdisplacementsuk_UA
dc.subjectмногослойная балкаuk_UA
dc.subjectортотропный слойuk_UA
dc.subjectсосредоточенная нагрузкаuk_UA
dc.subjectпрогибuk_UA
dc.subjectнапряженияuk_UA
dc.subjectперемещенияuk_UA
dc.subjectбагатошарова балкаuk_UA
dc.subjectортотропний шарuk_UA
dc.subjectзосереджене навантаженняuk_UA
dc.subjectпрогинuk_UA
dc.subjectнапруженняuk_UA
dc.subjectпереміщенняuk_UA
dc.titleMajor Stress-Strain State of Double Support Multilayer Beams Under Concentrated Load. Part 2. Model Implementation and Calculation Resultsuk_UA
dc.title.alternativeОсновное напряженно-деформированное состояние двухопорных многослойных балок под действием сосредоточенной нагрузки. Часть 2. Реализация модели и результаты расчетаuk_UA
dc.title.alternativeОсновний напружено-деформований стан двохопорних багатошарових балок під дією зосередженого навантаження. Частина 2. Реалізація моделі та результати розрахункуuk_UA
dc.typeArticleuk_UA
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