Собственные колебания анизотропных пластин из полимерных композитов. 2. Макронеоднородные трехслойные пластины

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Собственные колебания анизотропных пластин из полимерных композитов. 2. Макронеоднородные трехслойные пластины. / Ivantsova, O. N.; Ryabov, V. M.; Yartsev, B. A.

In: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 1: МАТЕМАТИКА, МЕХАНИКА, АСТРОНОМИЯ, No. 3, 1999, p. 14-19.

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

BibTeX

@article{60f7b17225894d5da6a816d4b0f127b2,

title = "Собственные колебания анизотропных пластин из полимерных композитов. 2. Макронеоднородные трехслойные пластины",

abstract = "On the basis of Hamilton variation principle, Bolotin multilayer plate theory and the elastic-viscoelastic correspondence principle in the linear theory of viscoelasticity the mathematical description of damped vibrations of laminated polymer quasihomogeneous plates is suggested. The elastic eigenvalue problem is solved on the basis of the Ritz's method. An iteration method of the third precision order is used to find the frequency equation complex roots for a damped vibration problem. The convergence estimation of the elaborated mathematical description is shown. The influence of orientation of rigid layer reinforced fibers on numerical values of natural frequencies and loss factors is discussed.",

author = "Ivantsova, {O. N.} and Ryabov, {V. M.} and Yartsev, {B. A.}",

year = "1999",

language = "русский",

pages = "14--19",

journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ",

issn = "1025-3106",

publisher = "Издательство Санкт-Петербургского университета",

number = "3",

}

RIS

TY - JOUR

T1 - Собственные колебания анизотропных пластин из полимерных композитов. 2. Макронеоднородные трехслойные пластины

AU - Ivantsova, O. N.

AU - Ryabov, V. M.

AU - Yartsev, B. A.

PY - 1999

Y1 - 1999

N2 - On the basis of Hamilton variation principle, Bolotin multilayer plate theory and the elastic-viscoelastic correspondence principle in the linear theory of viscoelasticity the mathematical description of damped vibrations of laminated polymer quasihomogeneous plates is suggested. The elastic eigenvalue problem is solved on the basis of the Ritz's method. An iteration method of the third precision order is used to find the frequency equation complex roots for a damped vibration problem. The convergence estimation of the elaborated mathematical description is shown. The influence of orientation of rigid layer reinforced fibers on numerical values of natural frequencies and loss factors is discussed.

AB - On the basis of Hamilton variation principle, Bolotin multilayer plate theory and the elastic-viscoelastic correspondence principle in the linear theory of viscoelasticity the mathematical description of damped vibrations of laminated polymer quasihomogeneous plates is suggested. The elastic eigenvalue problem is solved on the basis of the Ritz's method. An iteration method of the third precision order is used to find the frequency equation complex roots for a damped vibration problem. The convergence estimation of the elaborated mathematical description is shown. The influence of orientation of rigid layer reinforced fibers on numerical values of natural frequencies and loss factors is discussed.

UR - http://www.scopus.com/inward/record.url?scp=77949716600&partnerID=8YFLogxK

M3 - статья

SP - 14

EP - 19

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

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

SN - 1025-3106

IS - 3

ER -

ID: 5141864