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Natural vibrations of anisotropic polymer composite plates. I. Laminated quasihomogeneous plates. / Ivantsova, O. N.; Ryabov, V. M.; Yartsev, B. A.

In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 2, 1999, p. 28-34.

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

Harvard

Ivantsova, ON, Ryabov, VM & Yartsev, BA 1999, 'Natural vibrations of anisotropic polymer composite plates. I. Laminated quasihomogeneous plates', Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, no. 2, pp. 28-34.

APA

Ivantsova, O. N., Ryabov, V. M., & Yartsev, B. A. (1999). Natural vibrations of anisotropic polymer composite plates. I. Laminated quasihomogeneous plates. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, (2), 28-34.

Vancouver

Ivantsova ON, Ryabov VM, Yartsev BA. Natural vibrations of anisotropic polymer composite plates. I. Laminated quasihomogeneous plates. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1999;(2):28-34.

Author

Ivantsova, O. N. ; Ryabov, V. M. ; Yartsev, B. A. / Natural vibrations of anisotropic polymer composite plates. I. Laminated quasihomogeneous plates. In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1999 ; No. 2. pp. 28-34.

BibTeX

@article{a33f6a69d3ae4e018ecaba2059f2dd0f,
title = "Natural vibrations of anisotropic polymer composite plates. I. Laminated quasihomogeneous plates",
abstract = "The mathematical description of damped vibrations of laminated polymer quasihomogeneous plates is suggested on the basis of the variation Hamilton principle, corrected Mindlin plate's theory and the elastic-viscoelastic correspondence principle in the linear theory of viscoelasticity. The mathematical description of damped vibrations of taminated polymer quasihomogeneous plates is proposed. The elastic eigenvalue problem is solved on the basis of the Ritz's method. Iteration method of the third precision order is used to find the frequency equation's complex roots for damped vibrations problem. The convergence and reliability estimations of the elaborated mathematical description are shown.",
author = "Ivantsova, {O. N.} and Ryabov, {V. M.} and Yartsev, {B. A.}",
year = "1999",
language = "English",
pages = "28--34",
journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ",
issn = "1025-3106",
publisher = "Издательство Санкт-Петербургского университета",
number = "2",

}

RIS

TY - JOUR

T1 - Natural vibrations of anisotropic polymer composite plates. I. Laminated quasihomogeneous plates

AU - Ivantsova, O. N.

AU - Ryabov, V. M.

AU - Yartsev, B. A.

PY - 1999

Y1 - 1999

N2 - The mathematical description of damped vibrations of laminated polymer quasihomogeneous plates is suggested on the basis of the variation Hamilton principle, corrected Mindlin plate's theory and the elastic-viscoelastic correspondence principle in the linear theory of viscoelasticity. The mathematical description of damped vibrations of taminated polymer quasihomogeneous plates is proposed. The elastic eigenvalue problem is solved on the basis of the Ritz's method. Iteration method of the third precision order is used to find the frequency equation's complex roots for damped vibrations problem. The convergence and reliability estimations of the elaborated mathematical description are shown.

AB - The mathematical description of damped vibrations of laminated polymer quasihomogeneous plates is suggested on the basis of the variation Hamilton principle, corrected Mindlin plate's theory and the elastic-viscoelastic correspondence principle in the linear theory of viscoelasticity. The mathematical description of damped vibrations of taminated polymer quasihomogeneous plates is proposed. The elastic eigenvalue problem is solved on the basis of the Ritz's method. Iteration method of the third precision order is used to find the frequency equation's complex roots for damped vibrations problem. The convergence and reliability estimations of the elaborated mathematical description are shown.

UR - http://www.scopus.com/inward/record.url?scp=77949723667&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77949723667

SP - 28

EP - 34

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

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

SN - 1025-3106

IS - 2

ER -

ID: 86194445