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Title: Major Stress-Strain State of Double Support Multilayer Beams Under Concentrated Load. Part 2. Model Implementation and Calculation Results
Other Titles: Основное напряженно-деформированное состояние двухопорных многослойных балок под действием сосредоточенной нагрузки. Часть 2. Реализация модели и результаты расчета
Основний напружено-деформований стан двохопорних багатошарових балок під дією зосередженого навантаження. Частина 2. Реалізація моделі та результати розрахунку
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: Apr-2019
Publisher: Інститут проблем машинобудування ім. А.М. Підгорного
Series/Report no.: Journal of Mechanical Engineering;22(1)
Abstract: The 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.
Appears in Collections:Міжнародні видання

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