Keywords: | method of boundary states, method of boundary states with perturbation; basis of states, heterogeneous body, duraluminium, coefficients of Fourie, Lagrange interpolation polynomial.
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Abstracts: | Optimization of a lightweight fastening element with a hyperboloid-shaped boundary, depending on the load and the radius of the structure, having heterogeneous stiffness properties, is performed. Method of boundary states in combination with the method of perturbation is used to analyze of the stress-strain state of a heterogeneous element of construction. A full parametrical analytic solution, including parameters of body geometry is built on the Lagrange interpolation polynomial.
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The contact details of authors: | Levina Lyubov Vladimirovna,
e-mail: satalkina_lyubov@mail.ru, Ph. D. Phys. & Math., Associate Professor, Lipetsk state technical university, Lipetsk, Russia.
Novikova Olga Sergeevna,
e-mail: _o_l_g_a_@bk.ru, graduate student, Lipetsk state technical university, Lipetsk, Russia.
Penkov Viktor Borisovich,
e-mail: vbpenkov@mail.ru, Dr. Sci. Phys. & Math., Professor, Lipetsk state technical university, Lipetsk, Russia.
Polikarpov Maxim Vladimirovich,
e-mail: messiah142@gmail.com, student, Lipetsk state technical university, Lipetsk, Russia.
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