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On the inverse problem of Euler's elastic rods. / Tovstik, P. E.; Tovstik, Tatiana Petrovna.

In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 3, 1999, p. 92-96.

Research output: Contribution to journal › Article › peer-review

Harvard

Tovstik, PE & Tovstik, TP 1999, 'On the inverse problem of Euler's elastic rods', Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, no. 3, pp. 92-96.

APA

Tovstik, P. E., & Tovstik, T. P. (1999). On the inverse problem of Euler's elastic rods. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, (3), 92-96.

Vancouver

Tovstik PE, Tovstik TP. On the inverse problem of Euler's elastic rods. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1999;(3):92-96.

Author

Tovstik, P. E. ; Tovstik, Tatiana Petrovna. / On the inverse problem of Euler's elastic rods. In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1999 ; No. 3. pp. 92-96.

BibTeX

@article{98f7b447e7434695a4c8b0783ea7db0b,
title = "On the inverse problem of Euler's elastic rods",
abstract = "The deformation of a thin inextensible rectilinear rod with the external forces and moments applied to its ends is studied. The assumption that both rod bending stiffnesses are equal and one of the rod ends is clamped is suggested. The forces and the moments providing the given displacements and rotation for the other rod end are evaluated. The case of small displacements and rotations is considered. The analytical solution taking into account the interactions between the bending and the longitudinal force and the torsion is obtained in the second approximation. The numerical algorithm is proposed.",
author = "Tovstik, {P. E.} and Tovstik, {Tatiana Petrovna}",
year = "1999",
language = "English",
pages = "92--96",
journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ",
issn = "1025-3106",
publisher = "Издательство Санкт-Петербургского университета",
number = "3",

}

RIS

TY - JOUR

T1 - On the inverse problem of Euler's elastic rods

AU - Tovstik, P. E.

AU - Tovstik, Tatiana Petrovna

PY - 1999

Y1 - 1999

N2 - The deformation of a thin inextensible rectilinear rod with the external forces and moments applied to its ends is studied. The assumption that both rod bending stiffnesses are equal and one of the rod ends is clamped is suggested. The forces and the moments providing the given displacements and rotation for the other rod end are evaluated. The case of small displacements and rotations is considered. The analytical solution taking into account the interactions between the bending and the longitudinal force and the torsion is obtained in the second approximation. The numerical algorithm is proposed.

AB - The deformation of a thin inextensible rectilinear rod with the external forces and moments applied to its ends is studied. The assumption that both rod bending stiffnesses are equal and one of the rod ends is clamped is suggested. The forces and the moments providing the given displacements and rotation for the other rod end are evaluated. The case of small displacements and rotations is considered. The analytical solution taking into account the interactions between the bending and the longitudinal force and the torsion is obtained in the second approximation. The numerical algorithm is proposed.

UR - http://www.scopus.com/inward/record.url?scp=77949661249&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77949661249

SP - 92

EP - 96

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

SN - 1025-3106

IS - 3

ER -

ID: 9286571