Собственные колебания анизотропных пластин из полимерных композитов. 1. Слоистые квазиоднородные пластины

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Собственные колебания анизотропных пластин из полимерных композитов. 1. Слоистые квазиоднородные пластины. / Ivantsova, O. N.; Ryabov, V. M.; Yartsev, B. A.

в: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 1: МАТЕМАТИКА, МЕХАНИКА, АСТРОНОМИЯ, № 2, 1999, стр. 28-34.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{78e5d4a9d88f4be38cee83a03987602e,

title = "Собственные колебания анизотропных пластин из полимерных композитов. 1. Слоистые квазиоднородные пластины",

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 = "русский",

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 - Собственные колебания анизотропных пластин из полимерных композитов. 1. Слоистые квазиоднородные пластины

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 - статья

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: 5141803