Major stress-strain state of double support multilayer beams under concentrated load. Part 1. Model construction

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dc.contributor.authorКовальчук, Станіслав Богданович
dc.contributor.authorГорик, Олексій Володимирович
dc.date.accessioned2019-01-19T14:49:59Z
dc.date.available2019-01-19T14:49:59Z
dc.date.issued2018-02
dc.description.abstractThe development of composite technologies contributes to their being widely introduced 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 stressstrain 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 concentrated load based on the previously obtained solution of the elasticity theory for a multi-layer cantilever. The first part of the article includes a statement of the problem, accepted prerequisites and main stages of constructing a model for bending a double-support multi-layer beam with a concentrated load (normal, tangential force and moment) and general-view supports in the extreme cross-sections. When building the model, the double support beam was divided across the loaded cross-section and presented in the form of two separate sections with equivalent loads on the ends. Using the general solution of the elasticity theory for a multilayer cantilever with a load on the ends, the main stress-strain state of the design sections was described without taking into account the local effects of changing the stress state near the concentrated load application points and supports. The obtained relations contain 12 unknown initial parameters. To determine them on the basis of the conditions of joint deformation (static and kinematic) of design sectors, a system of algebraic equations has been constructed. The constructed model allows one to determine the components of the main stress-strain state of double support beams each consisting of an arbitrary number of orthotropic layers, taking into account the amenability of their materials to lateral shear deformations and compression.uk_UA
dc.identifier.issn0131-2928
dc.identifier.urihttps://dspace.pdau.edu.ua/handle/123456789/1768
dc.language.isoenuk_UA
dc.publisherІнститут проблем машинобудування ім. А.М. Підгорногоuk_UA
dc.relation.ispartofseriesJournal of Mechanical Engineering;21(4)
dc.subjectmultilayer beamuk_UA
dc.subjectorthotropic layeruk_UA
dc.subjectconcentrated loaduk_UA
dc.subjectstressesuk_UA
dc.subjectdisplacementsuk_UA
dc.subjectмногослойная балкаuk_UA
dc.subjectортотропный слойuk_UA
dc.subjectсосредоточенная нагрузкаuk_UA
dc.subjectнапряженияuk_UA
dc.subjectперемещенияuk_UA
dc.subjectбагатошарова балкаuk_UA
dc.subjectортотропний шарuk_UA
dc.subjectзосереджене навантаженняuk_UA
dc.subjectнапруженняuk_UA
dc.subjectпереміщенняuk_UA
dc.titleMajor stress-strain state of double support multilayer beams under concentrated load. Part 1. Model constructionuk_UA
dc.title.alternativeОсновное напряженно-деформированное состояние двухопорных многослойных балок под действием сосредоточенной нагрузки. Часть 1. Построение моделиuk_UA
dc.title.alternativeОсновний напружено-деформований стан двохопорних багатошарових балок під дією зосередженого навантаження. Частина 1. Побудова моделіuk_UA
dc.typeArticleuk_UA
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