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Title: Major stress-strain state of double support multilayer beams under concentrated load. Part 1. Model construction
Other Titles: Основное напряженно-деформированное состояние двухопорных многослойных балок под действием сосредоточенной нагрузки. Часть 1. Построение модели
Основний напружено-деформований стан двохопорних багатошарових балок під дією зосередженого навантаження. Частина 1. Побудова моделі
Authors: Ковальчук, Станіслав Богданович
Горик, Олексій Володимирович
Keywords: multilayer beam
orthotropic layer
concentrated load
многослойная балка
ортотропный слой
сосредоточенная нагрузка
багатошарова балка
ортотропний шар
зосереджене навантаження
Issue Date: Feb-2018
Publisher: Інститут проблем машинобудування ім. А.М. Підгорного
Series/Report no.: Journal of Mechanical Engineering;21(4)
Abstract: The 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.
ISSN: 0131-2928
Appears in Collections:Міжнародні видання

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