Bending Vibrations of Multilayered Plates

被引：2

作者：

Morozov, N. F. ^{[1
,2
]}

Tovstik, P. E. ^{[1
,2
]}

Tovstik, T. P. ^{[2
]}

机构：

[1] St Petersburg State Univ, St Petersburg 199034, Russia

[2] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia

来源：

DOKLADY PHYSICS | 2020年 / 65卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

multilayered plate; longwave bending vibrations; generalized Timoshenko– Reissner model; transverse shear stiffness; MODELS;

D O I：

10.1134/S1028335820080066

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Small longwave free bending vibrations of a multilayered plate with alternating rigid and soft layers are considered. Approximate ways of determination of the transversal shear flexibility necessary when replacing a multiplayer plate by an equivalent single-layered Timoshenko-Reissner plate are discussed. A comparison with the exact solution of the three-dimensional problem of the theory of elasticity is performed. The dependence of shear flexibility and vibration frequencies on the ratio of Young's moduli of the layers and their arrangement is investigated.

引用

页码：281 / 285

页数：5

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